XXI CONGRESS OF APSMS
DEPT OF MATHEMATICS,
SV UNIVERSITY,
TIRUPATI
DEC-07-09, 2012
Abstracts
1
XXI CONGRESS & NATIONAL CONFERENCE ON APPLICATIONS
OF MATHEMATICS IN ENGINEERING, PHYSICAL AND LIFE
SCIENCES
PROGRAMME SCHEDULE
Date: 07-12-12 (FRIDAY)
Venue:
TIME
PROGRAMME/ VENUE
7.30 a.m-8.30 a.m
Break fast
(
)
8.30 a.m -10.15
a.m
Registration (Srinivasa Auditorium )
10.15 a.m-11.45
a.m
Inauguration (Srinivasa Auditorium )
11.45 a.m -12.00
Noon
High Tea
(Srinivasa Auditorium )
12.00 Noon -12.45 Presidential Address (Technical
p.m
Speech)
Prof. G. Sarojamma
Former Vice-Chancellor,
S.P.M.V.V. Tirupati
12.45 p.m -1.30
Keynote Address
p.m
Dr. P.Seshu
Director, C.MMACS
1.30 p.m -2.30 p.m Lunch Break (Near Andhra Bank
Canteen)
2.30 p.m -3.15 p.m Lecture in Honour of Prof. N.Ch.
Pattabi Ramacharyulu by Prof.
S.P. Anjali Devi
Department of Applied Mathematics
Bharatiyar University, Coimbatore
Title: CFD and it’s Applications
3.15 p.m -4.00 p.m Prof. R. Vaidyanath Swamy
Chairpersons
Prof. P.V.
Arunachalam
Prof. P.V.
Arunachalam
Prof, K.
Ramakrishna
Prasad
Prof. P.V.
Arunachalam
2
4.00 p.m -4.15p.m
4.15 p.m. – 5.00
p.m
5.00 p.m-6.30 p.m
Memorial Endowment Lecture
Sponsored by Prof. V. V.
Subramanya Sastry by Prof. P.V.
Arunachalam ( Srinivasa
Ramanujan Hall Room No. 235,
Prakasam Bhavan)
Tea Break
Prof. A. Radahkrishna Endowment Prof. L.
Lecture Sponsored by Prof. T.
Nagamuni
Srinivas & Dr. K. Yugandar by, Prof. Reddy
Bavanari. Satyanarayana
Department of Mathematics
Acharya Nagarjuna University,
Guntur
Title: The Prime Graph of an
Integral Domain
Paper Presentations
1. Algebra (Room No. 260) Prof. Bh.
Satyanarayana
2.Fluid Dynamics (Room
Prof. S.P. Anjali
No.235)
Devi
3. Life sciences &
Prof. K.
Engineering
Satyanarayana
( Room No. 110)
3
XXI CONGRESS & NATIONAL CONFERENCE ON APPLICATIONS
OF MATHEMATICS IN ENGINEERING, PHYSICAL AND LIFE
SCIENCES
PROGRAMME SCHEDULE
Date: 08-12-12 (SATURDAY)
Venue:
TIME
PROGRAMME
8.30 a.m-9.00
Break fast (
a.m
9.00 a.m -9.30
Invited Talk by Prof. J.
a.m
Hanumantachari
Rtd. Professor of Mathematics,
S.V.University, Tirupati
9.30 a.m-10.00
Invited Talk by Prof. G.
a.m
Jayachandra Reddy,Principal,
Y.V.U. College of Engineering,
Proddutur
10.00 a.m-10.45
a.m
10.45 a.m -11.00
a.m
11.00 a.m-12.00
Noon
Prof. K. L. N. Swamy Endowment
Lecture by Prof. Rajat Tandon
Central University, Hyderabad
Tea-Break
Paper Presentations
1. Algebra (Room No.
260)
)
Chairpersons
Prof. I. H.
Nagaraja
Rao
Prof. N.
Bhaskar
Reddy
Prof. N.Ch.
Ramacharyulu
Prof. J. Hanumantha
Chari
2.Fluid Dynamics (Room
Prof. SRK. Iyenger
No.235)
3. Life sciences &
Prof. M. Sundara
Engineering
Murthy
( Room No. 110)
12.00 Noon -12.45 Prof. M.L. Narayana Rao
Prof. K.
p.m
Memorial Lecture In Algebra by
Govindarajulu
Prof K. Satyanaryana
Rtd. Professor of Mathematics
4
Osmania University, Hyderabad
12.45 p.m -1.30
p.m
1.30 p.m -2.30
p.m
2.30 p.m -3.15
p.m
3.15 p.m -3.45
p.m
3.45 p.m-4.00 p.m
4.00 p.m -6.30
p.m
6.30 p.m-7.30 p.m
7.30 p.m -9.00
p.m
Invited Talk by V.V. Subramanya
Sastri
Hyderabad
Lunch Break
Prof. K. L.N.
Swamy
Invited Talk by Prof. SRK Iyenger
Rtd. Professor of Mathematics .
IIT New Delhi
Prof. L.
Ananda Babu
Invited Talk by Prof. K. Suvarna
Prof. Bh.
Dept. of Mathematics., S.K.
Satyanarayana
University
Ananthapur
Title: Some Studies on Periodic
Rings
Tea Break
Paper Presentations
1. Algebra (Room No.
Prof. K. Suvarna
260)
2.Fluid Dynamics (Room
Dr. G. Viswanatha
No.235)
Reddy
3. Life sciences &
Prof. P. Balasiddamuni
Engineering
( Room No. 110)
General Body Meeting (Room No.
235)
Cultural /Dinner
5
XXI CONGRESS & NATIONAL CONFERENCE ON APPLICATIONS OF
MATHEMATICS IN ENGINEERING, PHYSICAL AND LIFE SCIENCES
PROGRAMME SCHEDULE
Date : 09-12-12 (SUNDAY)
Venue:
8.30 a.m-9.00
a.m
Break fast (
9.00 a.m -9.3o
a.m
Smt. Sri G.P. Sarma Memorial
Endowment Lecture Sponsored by
Dr. G. Lalitha by Prof. SSVN.
Sarma
Professor of Computer Science,
Kakatiya University, Warangal
Endowment Lecture by Prof. N.Ch.
Pattabi Ramacharyulu
Rtd. Professor of Mathematics, NIT,
Warangal
Title: Cubic and Bioquadratic
Equations –Ramanujan’s
Solutions
9.30 a.m -10.00
a.m
)
10.00 a.m-10.30 Invited Talk by Prof. V.V.
a.m
Vittal,
Chairpersons
Prof. s.
Ramakrishna
Prof. I. H.
Nagaraja Rao
Prof. P. Rajasekhara
Reddy
10.30 a.m-11.00 Invited Talk by 1. Dr. Y. Bhavani Prof. S.Sreenadh
a.m
Kumar, Scientist-E, NRL,
Gadanki
Invited Talk by 2. Dr. Rushi
Prof. K. Rama
Kumar,
Krishna Prasad
VIT University, Vellore
11.00 a.m Tea Break
11.15a.m .
6
11.15 a.m 1.30a.m
1.30 a.,m -2.30
a.m
2.30 a.m -3.30
a.m
Paper Presentation
1.Algebra (Room No. 260)
2.Fluid Dynamics (Room
No.235)
3. Life sciences &
Engineering
( Room No. 110)
Lunch Break
Dr. V.Sugunamma
Dr. D. Bharathi
Dr. C. Jaya Subba
Reddy
Validictory
7
Inauguration
Department of Mathematics, Sri Venkateswara University, Tirupati
and
Andhra Pradesh Society for Mathematical Sciences
Invites you to the Inaugural Function of
XXI Congress & National Conference on
Applications of Mathematics in Engineering, Physical and Life Sciences
(Sponsored by UGC & Ministry of Earth Sciences, Govt. of India)
Chief Guest
Prof. W. Rajendra
Honorable Vice-Chancellor, S.V. University, Tirupati
Guest of Honours
Prof. K. Satyavelu Reddy
Registrar, S.V. University, Tirupati
Prof. A. Papa Rao,
Principal, SVU College of Sciences, Tirupati
Key Note Address
Prof. P .Seshu
Scientist-in-Charge, C-MMACS, Bangalore.
President
Prof. G. Sarojamma
President, APSMS & Former Vice-Chancellor, SPMVV, Tirupati.
Date : 07-12-2012
Time : 10.15A.M.
Venue : Srinivasa Auditorium, S.V. University, Tirupati.
Prof. S. Sreenadh
Dr. S. Sivaiah
Prof. S.V.K. Varma
Head,
Department of Mathematics,
General Secretary, APSMS
Organising Secretary
8
Valediction
Department of Mathematics, Sri Venkateswara University, Tirupati
and
Andhra Pradesh Society for Mathematical Sciences
Invites you to the Inaugural Function of
XXI Congress & National Conference on
Applications of Mathematics in Engineering, Physical and Life Sciences
(Sponsored by Ministry of Earth Sciences, Govt. of India)
Chief Guest
Prof. MA.K. SUKUMAR
Rector, S.V. University, Tirupati.
Guest of Honour
Dr. A. Jaya Raman
Director, NARI, Department of Space, Govt. of India
&
Prof. K. Nagendra Prasad
Registrar, Vikrama Simhapuri University, Nellore.
President
Prof. G. Sarojamma
President, APSMS & Former Vice-Chancellor, SPMVV, Tirupati.
Date : 09-12-2012
Time : 02.30 P.M.
Venue : 235, Hall of Ramanujan, Department of Mathematics, Prakasam Bhavan,
S.V. University, Tirupati.
Prof. S. Sreenadh
Dr. S. Sivaiah
Prof. S.V.K. Varma
Head,
Department of Mathematics,
General Secretary, APSMS
Organising Secretary
9
ABOUT THE DEPARTMENT OF MATHEMATICS
The Department of Mathematics of Sri Venkateswara University was one
among the first Six Departments started in September, 1954. The Department had
the good fortune of being lead by the renowed Indian Mathematician Prof. R.
Vaidyanatha Swamy, UGC has recently sanctioned SAP-DRS-I Program and two
major projects for the department in addition to B.S.R. Fellowships to its scholars.
The Department has made many strides and established a multi-dimensional
growth in the fields of Ring Theory, Semi Group Theory, Graph Theory, Full
Dynamics, Cryptography, Operation Research and Theoretical Computer Sciences.
ORGANIZING COMMITTEE
Chief Patron
:
Patrons
:
Directors
:
Convener
:
Organizing Secretary
:
Joint Secretary
:
Treasurer
:
Co-ordinators
:
Prov. W. Rajendra
Vice-Chancellor, S.V. University
Prof. M.A.K. Sukumar
Rector, S.V. University
Prof. K. Sathyavelu Reddy
Registrar, S.V. University
Prof. A.Papa Rao
Principal, S.V.U. College of Sciences
Prof. A. Ramakrishna Rao
Principal, S.V.U. College of Engineering
Prof. K. Ramakrishna Prasad
Ex-Vice-Principal,
S.V.U. College of Sciences
Prof. S. Venkataramana
Department of Mathematics, S.V.U.
Prof. N. Bhaskar Reddy,
Department of Mathematics, S.V.U
Prof. S. Sreenadh
Head, Department of Mathematics, S.V.U.
Prof. S.V.K. Varma
Department of Mathematics, S.V.U.
K.M. Bhanu
Department of Mathematics, S.V.U.
Dr. G. Viswanatha Reddy
Associate Professor,
Department of Mathematics, S.V.U
Dr. V. Sugunamma
Associate Professor,
Department of Mathematics, S.V.U.
Dr. D. Bharathi
Associate Professor,
Department of Mathematics, S.V.U.
Dr .C. Jaya Subba Reddy
Assistant Professor,
Department of Mathematics, S.V.U.
10
APSMS EXECUTIVE COUNCIL
President
:
Vice Presidents
:
General Secretary
:
Office Secretary
:
Treasurer
:
Members
:
Prof. G. Sarojamma
Former Vice-Chancellor,
Dept. of Applied Mathematic,s
Sri
Padmavathi
Mahila
Viswavidyalaam,
Tirupati.
Dr. Odelu Ojjela,
Dept. of Mathematics,
Jyothishmathi Institute of Tech & Science,
Nustulapur, Karim Nagar – 505481
Dr. K .Sarath Babu,
Assoc. Professor,
Swarna Bharathi Institute of Tech & Sciences,
Khammam – 507 002.
Dr. S. Sivaiah,
Principal,
Malla Reddy PG College,
Maisammaguda, Secunderabad – 500 014.
Dr. D. Srinivasacharya,
Dept. of Mathematics, NIT, Warangal.
Dr. G. Omprakasham,
Dept. of Mathematics,
Vasavi College of Engineering,
Hyderabad – 500 031
Prof. L. Anand Babu (Ex. Office)
Dept. of Mathematic,s
Osmania University, Hyderabad – 500007
Dr. C. Jaya Subba Reddy
Asst. Professor
Dept. of Mathematics, S.V. University, Tirupati.
Dr. B. Ravindra Reddy
Dept. of Mathematics,
JNTUH College of Engineering,
Jagitial, Karimnagar Dist.
Dr. A. Sree Rama Murthy
Professor of Mathematics,
Ideal Inst. Of Technology, Kakinada.a
Dr. K.V.S. Sarma,
Assoc. Professor,
Regency Institute of Technology, Yanam-533464
Dr. B. Rami Reddy
Lecturer, Dept. of Mathematics, Hindhu College,
Guntur.
Dr. V. Srinivasa Rao
Anurag Group of Institutions
Venkatapuram (V), Ghatkesar (M), R.R. Dist
S.V. Siva Rama Raju
Assoc. Professor, SITAM, Vizianagaram
11
SRI VENKATESWARA UNIVERSITY
Tirupati-517502
Chittoor District
Andhra pradesh
INDIA
Grams:”UNIVERSITY”
Website:www.svuniversity.in
Prof. W. Rajendra
Vice-Chancellor
MESSAGE
I am very much delighted to note that Department of Mathematics, Sri
Venkateswara University is organizing XXI Congress & National Conference on
Applications of Mathematics in Engineering, Physical and Life Sciences during 7-9
December, 2012 at Srinivasa Auditorium, Sri Venkateswara University, Tirupati.
This Conference aims to equip the young scholars, scientists and researchers in the
fields of Number theory, Mathematics/ Applied Mathematics, Engineering, Physical and Life
sciences with the latest trends and techniques pertaining to Algebra, Discrete Mathematics,
Graph Theory, Cryptography, Computational Fluid Dynamics, Atmospheric, Fluid
Dynamics, Bio- Mechanics, Magneto Hydrodynamics, Heat and Mass Transfer, Numerical
Analysis, Operation Research, Applied Statistics, Environmental Sciences, Data Mining,
Dynamical Systems and Fuzzy logic.
I am confident that this memorable event will result in enlightening the present
scenario in defining scientific gaps, research priorities in order to provide decision makers
in governments, Industry, Academia and especially the future Mathematicians with the
knowledge required to understand the present and future role of Mathematics in resolving
problems in coming years.
I congratulate Prof. S. Vijaya Kumar Varma, Organizing Secretary and faculty
members of the Department of Mathematics and all the members of for organizing this
event
I wish the event a grand success.
(W. RAJENDRA)
12
SRI VENKATESWARA UNIVERSITY
Tirupati-517502
Andhra Pradesh
Phone: 2289410/2289559
Telegram: “UNIVERSITY”
Tirupati
Prof.M.A.K.Sukumar
Rector& Professor of English
Member, Executive Council
MESSAGE
I am immembly happy to know that the Department of Mathematics, Sri
Venkateswara University is organizing a XXI congress Andhra Pradesh Society of
Mathematical Sciences ,on “ Applications of Mathematics in Engineering Physics
and Life Sciences” on 7-9 Dec 2012. The theme of the conferences has
contempory relevance and thus holds a benefit to the society .I am sure that there
would be thought proviking deliberations which would throw light on new vistas in
the topic of “Applications of Mathematics in Engineering Physics and Lifes
Sciences” .
I congratulate Prof.S.V.k.Varma and his new for organizing a conference to
celebrate the 125th birth anniversary of Srinivasa Ramanujan , the stalvent of
Indian mathematical studies. The endowment memorial lecturers planned for the
conference hope certainly benefit te students and research scholars .
I wish you all the best.
(M.A.K.SUKUMAR)
13
SRI VENKATESWARA UNIVERSITY
Tirupati-517502
Chittoor District
Andhra pradesh
Phone: 2289410/2289559
Grams:”UNIVERSITY”,
Tirupati.
Prof.K.Satyavelu Reddy,
M.Sc., Ph.D
Registrar, Tirupati.
MESSAGE
I feel very happy and very much impressed to note that the department of
Mathematics, Sri Venkateswara University is organizing XXI congress of Andhra
Pradesh
Society Of Mathematical Sciences and the National Conference on
“Applications Of Mathematic In Engineering Physics and Life Sciences” from 7-9
Dec 2012, during the year of Mathematics 2012.
This event is of first time organizing by APSMS in Sri Venkateswara
university, Tirupati for the past 59 years. This conference aims to equip the young
scholars , scientists and researchers in the field of Number theory, Mathematics,
Applied Mathematics ,Engineering, Physics and Life Sciences with the latest trends
and techniques pertaining to Algebra, Graph theory ,Cryptography, Computational
Fluid Dynamics, Atmospheric Fluid Dynamics, Bio-Mechanics, Operation research,
Applied statistics, Environmental Sciences.
At
this
context,
I
congratulate
and
appreciate
the
efforts
of
Prof.S.V.K.Varma, Secretary, Organizing committee and faculty of the Department
for having this great event in the campus.
(K. SATHYAVELU REDDY)
14
15
SRI VENKATESWARA UNIVERSITY
S.V.U. College of Sciences,
S.V. University,
Tirupati – 517 502, A.P.
Cell : 92478 26300
Res : 0877-2246239
Prof. A. Paparao
Principal
Professor of Anthropology,
MESSAGE
I am delighting to give my best wishes to all the members of the Department
of Mathematics and especially the organizing secretary.
The Department of Mathematics conducting first time APSMS on “
Applications of Mathematics in Engineering Physics and Life Sciences” and the
conference with around 250 Research papers and members of invited lecturers
being delivered.
This National conference, ultimately, will lead to new opportunity for the
participants and for the Department . I know the pain taken and the amount of
systematic work put in by the members of the Department and especially
Prof.S.V.K.Varma.
I congratulate the organizing committee and all the members of the
Department and wish them a wonderful Conference-time
( A.PAPARAO)
16
SRI VENKATESWARA UNIVERSITY
Prof.K.Ramakrishna Prasad
Off: 0877-2289490
Cell: 9247826300
Res: 0877-2246239
R es: 9-66/23,101,1st Floor
,
Sai Suja Apartments,
New Maruti Nagar
M.R.Palli, Tirupati-517502.
M.Sc.,Ph.D.
Professor of Mathematics
Ex-Vice Principal, Principal
(FAC)
S.V.Univeersity,Tirupati517502.
MESSAGE
I am extremely happy to inform that the Department of Mathematics, S.V.
University is organizing XXI congress of Andhra Pradesh Society of Mathematical
sciences and National Conference on “Applications f Mathematics In Engineering
Physics and Life Sciences” from 7th to 9th Dec 2012. The department has fortunate
to have same renowned persons as faculty in its nascent years and nurtured by
successive eminent Professors. It has been in forefront both in Research and
Teaching.
I am happy to note that several eminent Acadamicians, scientists from all
over the state are participating in this event. I am sure that the presentations and
deliverations of their meet benefits and provide an excellent opportunity for the
young and enthusiastic mathematicians to interact with the renowned research in
their field.
I congratulate the organization committee especially Prof.S.V.K.Varma,
organization secretary for under taking the organizational responsibilities and also
for bringing out the book containing the abstracts and programmes for the benefits
of academic and scientific committee.
I have great pleasure in wishing this XXI congress and the National
conference great success.
(K.RAMAKRISHNAPRASAD)
17
SRI PADMAVATI MAHILA VISVAVIDYALAYAM
Tirupati-517502. Andhra Pradesh
Dr. G. Sarojamma
Professor of Applied
Mathematics
President, APSMS
Former, Vice-Chancellor,
Co-ordinator, Tirupati,
Regional Centre of A.P,.
Akademi of Sciences
Ph : 0877-2284575
MESSAGE
On behalf of the Andhra Pradesh Society for Mathematical Sciences and on
my own behalf I congratulate the Faculty of the Department of Mathematics, S.V.
University for organizing the XXI Congress of APSMS and National Conference
on Applications of Mathematics in Engineering, Physical and Life Sciences
during this National year of Mathematics, commemorating the 125th birth
anniversary of the great Indian Mathematician Sri Srinivasa Ramanujan. The theme
of the conference will provide an opportunity for the upcoming researchers to know
the various applications of Mathematics in all branches of Science. I wish the
organizers all the best for the grand success of the conference.
(G.
Sarojamma)
18
ENDOWMENT LECTURERS AND INVITED TALKS
DIFFUSION-THERMO AND RADIATION EFFECTS ON UNSTEADY
MHD FLOW THROUGH POROUS MEDIUM PAST AN IMPULSIVELY
STARTED INFINITE VERTICAL PLATE WITH VARIABLE
TEMPERATURE
AND MASS DIFFUSION
By J. Prakash,
Department of Mathematics, University of Botswana, Botswana.
ABSTRACT : The objective of this study is to investigate diffusion-thermo
(Dufour effect) and radiation effects on unsteady MHD free convection flow
past an impulsively started infinite vertical plate with variable temperature
and uniform mass diffusion in the presence of transverse applied magnetic
field through porous medium. At time t > 0, the plate is given an impulsive
motion with constant velocity u0 in the vertical upward direction against to
the gravitational field. At the same time, the plate temperature is raised
linearly with time t and the level of concentration near the plate is raised to
C_w. A magnetic field of uniform strength B0 is applied normal to the
direction to the flow. The dimensionless governing equations are solved in
closed form by Laplace transform technique. The effect of flow parameters
on velocity, temperature, concentration, the rate of heat transfer and the
rate of mass transfer are shown through graphs.
CFD AND ITS APPLICATIONS
Dr. S.P.ANJALI DEVI
Professor and Head, Department of Applied Mathematics
Bharathiar University, Coimbatore-641046, India
Email: anjalidevi_s_p@yahoo.co.in
ABSTRACT : In recent years, CFD finds its applications in various fields
like Aerodynamics of aircraft and vehicles, Hydrodynamics of ships, Power
plants, Turbo machinery flows inside rotating passages, diffusers,
Electrical and electronic engineering, Chemical process engineering,
External and internal environment of buildings, Marine engineering,
Environmental engineering, Hydrology and Oceanography, Meteorology and
Biomedical engineering. In view of all these applications, my invited talk is
chiefly dealt with CFD. Especially, special focus is given to Finite Volume
Method (FVM) among CFD methods, Conservation form of governing
equations of fluid flow, Differential and integral forms of general transport
equations, Advantages of FVM, FVM for one-dimensional steady state
diffusion problems and its illustration, FVM for two-dimensional diffusion
problems and Software involving FVM and its validity will be discussed in
detail. Further, applications of FVM for Hypersonic flow problems will also
be presented.
MATHEMATICAL APPLICATIONS IN LASER RADAR REMOTE
SENSING OF ENVIRONMENT
19
Y.Bhavani Kumar
National Atmospheric Research Laboratory (NARL)
Department of Space, Government of India
Gadanki-517112, Pakala Mandal, AP, India
ypbk@narl.gov.in
ABSTRACT: Laser radar is a kind of radar system that employs laser for
probing the environment. In this type of system, a laser pulse train is fired
into the atmosphere and analyzes the collected backscatter photons as a
function of time. Since laser travels at the speed of light, the time of flight
information provides the range of atmospheric targets. The laser radar
technique is an established method for monitoring the structure,
composition and dynamics of the earth’s atmosphere. The use of laser
radar techniques on space, airborne and ground based platforms have
contributed significantly to our knowledge of the Earth’s atmosphere. High
spatial and temporal resolution of the measurements, the possibility of
observing the atmosphere at ambient conditions, and the potential of
covering the height range from the ground to more than 100 km altitude
make up the attractiveness of lidar instruments. It is particularly useful for
the investigation of highly variable atmospheric parameters. Simple
backscatter lidars have been used to investigate turbulent processes and
the diurnal cycle of the planetary boundary layer. Polarization Lidar
systems are is used to distinguish water droplets from ice crystals in
clouds. Rayleigh-scatter lidars provide middle atmosphere temperatures
and present long-term variability in the thermal structure. Resonancefluorescence lidars probe the mesospheric region and provide the winds
driven metal layer densities. Raman lidars work on the principle of Raman
Effect and provides an approach to the range resolved measurement of
atmospheric trace species.
Different mathematical techniques have been adopted to retrieve the
environmental parameters such as (i) height of atmospheric boundary layer
(ABL), (ii) Scattering and depolarization properties of high altitude clouds,
(iii) altitude profiles of aerosol backscatter and extinction in the
troposphere and stratosphere, (v) profiles of temperature in the lower and
middle atmosphere, (vi) vertical profiles of mesospheric metal density, and
(iv) trace species mixing ratio profiles in the lower atmosphere from the
intensity profiles of lidar data. This lecture covers an introduction to the
atmosphere, basics of laser remote sensing, explanation of lidar equation,
different analytical methods for retrieving ABL height, application of
inversion algorithm for deriving particle/aerosol scattering coefficient,
stokes vector and depolarization ratio, matrix method for deriving the
particle size distribution from multi-wavelength lidar data, application of
inversion algorithm to derive middle atmospheric temperatures, iterative
method for deriving the metal atom density in the mesopause region of
upper atmosphere and finally the derivation of trace species mixing ratio in
the lower atmosphere using Raman lidar data.
SOME QUASI DISTRIBUTIVE PROPERTIES
VVS SASTRI
20
ABSTRACT : In this talk we recall some quasi distributive and related
properties of arithmetical functions and some results of S.Ramanujan.
These quasi-distributive properties were generalised to Vasu's s-regular
and A-regular functions studied by us. We there by pay tributes to the
great S.Ramanujan in this national Maths Year and also the founder
professor of this SVU Department, Prof RV and also to Prof MVS
INJUNUITY OF SRINIVASA RAMANUJAN – A CASE STUDY
SOLUTION OF CUBIC AND QUADRATIC EQUTION
N.Ch. Pattabhi Ramacharulu
(Cell No. 9440575881)
Professor (Rtd) NIT pattabi1933@yahoo.com
Warangal-506004.
ABSTRACT : S. Ramanujan Ayengar (1887-1920) is a self taught
mathematical prodigy. As Prof. Hardy rightly puts it- he is a natural
genius. Despite a little formal training, just at school level, he produced
miraculous results in mathematics that baffled seasoned mathematicians
of his times and later also. He exhibits in his contributions, his flair for
recognition of wonderful patterns in Numbers-Magic squares –solutions/
roots of polynomial equations and simultaneous equations etc., in his
idiosyncratic manner even before he went on searching for diverging series,
series inversions, continued fractions, infinite integrals modular functions/
equations and many more such advanced topics in mathematics. All these
he could do during the short span of his life of just thirty two years. While
in India, before he left for England in the year 1914, he was jotting down
his results, invariably without providing any proof in small note books
which are popularly referred as Note Books of Srinivasa Ramanjan (NBSR).
The facsimiles of these fascinating note books were published by T.I.F.R. in
the year 1957 and made them accessible to the world at large. By a careful
survey of these volumes, one gets amazed in finding some entries,
sprinkled here and there, disorderly placed, that can be discussed even at
the school/ under graduate level. It would be a rich fruitful exercise to the
Mathematics Teachers if they put in some effort to bring down S.R. to
Schools that would inspire their trainees in understanding the spirit of
Ramanujan. This would incidentally remove a prevailing misnomer that all
the contributions of
S.R. are beyond the scope and reach of school/ college teachers and
students.
This presentation aims at a discussion of S.R’s most novel way of
handling cubic and biquadratic equations. His methods are simple and
exhaustive differing basically from those promoted earlier in the 15th and
16th centuries (A.D.) by mostly Italian Mathematicians. Contributions of
Luca Pieioli (1445-1514), Ferrow (1465- 1526), Tartaglia (1499-1557),
Cardano (1501-1576) and his pupil Ferrari (1522- 1548) are worth
mentioning in this context. The later two - Cardano and Ferrari gave
21
general solutions for the cubic and biquadratic equations and these have
become familiar by their inclusion in almost all treatises on Classical
Algebra. Others cited above gave solutions for the equations with specially
chosen numerical values of the coefficients in the equations [2,3]. A few of
the entries from his Note Books [1,4] Ramanujan communicated as
problems for solving, to the Journal of Indian Mathematical Society. When
no solutions were forth coming from the readers, S.R. him self gave the
solutions at the behest of the editor of the Journal.
MULTIGRID METHODS – AN INTRODUCTION
Dr. Satteluri R.K. Iyengar
I.I.T, New Delhi
(Retired)
The numerical solution of IVP and BVP by finite difference or finite
element methods leads to the solution of a system of algebraic equations.
The solution is obtained by direct or iterative methods and it is taken as
the required solution. In the solution procedure, there is no interplay
between discretization and solution processes. The smoothness of the
solution is not fully exploited and advantage is not taken from the fact that
the algebraic system is an approximation to continuous equations.
Multigrid methods (multilevel adaptive techniques – MLAT) take into
account these factors where a hierarchy of grids of increasing fineness is
constantly made to interact with each other. This procedure accelerates the
convergence.
Abstract: Lecture in honor of Prof.NCh.Pattabhi Ramacharyulu, one of the
funding members of APSMS intuited by same life members of APSMS
admires and research associates of
Prof.NCh.Pattabhi Ramacharyulu
delivered by Prof. Anjali Devi
22
ELLIPTIC CURVE CRYPTOGRAPHY
By
Prof. Rajat Tandon,
Dept of Maths and Stats,
University of Hyderbad, Hyderabad-5000046.
Abstract: Elliptic curves have been widely used in Cryptography, even
more so now. Their use in Cryptography has led to several purely
mathematical problems. I will make an attempt to show why they are
useful in the security of systems.
Endowment Lecture by Prof. S.P. Anjali Devi, Bharathiyar University,
Lecture in honour of Prof. N. Ch. Pattabhi Ramacharyulu, One of the
Founding Members of APSMS instituted by Some Life Members of APSMS ,
Admirers and Research Associates of Prof.N.Ch.Pattabhi Ramacharyulu.
Title:
THE PRIME GRAPH OF AN INTEGRAL DOMIAN
Prof. Bhavanari Satyanaryana
Acharya Nagarjuna University, India
bhavanari2002@yahoo.co.in
Satyanarayana, Syam Prasad and Nagaraju [11] introduced
the
concept
‘Prime Graph of R’ (denoted by PG(R)), where R is a given associative ring.
This concept ‘prime graph of a ring’ is a new bridge between the graph
theory and ring theory. This concept provides a geometric presentation of
rings via graph theory
23
A Tribute to Prof.R.Vaidynathaswamy*
Prof.P.V.Arunachalam
RV was born onoct 9, 1894 in the village of Sethalapathy on the
banks of the river Arasalar in Tanjore District, Tamilnadu. He was the
eldest of four sons and three daughters.His father Rama SwamyIyer was an
orthodox Brahmin of the traditional type, well read in Sanskrit lore but,
without English education.The family owned some landed property which
gave them a moderate income and this enabled RV to have his school
education in Mayavaram and later in Madras Pachaiyappa’s High School,
whence he matriculated. Then he joined MCC for his intermediate course
and completed it in 1912, and joined Presidency college, Madras ,in
BA(Hons) class in Mathematics. He got BA Degree in 1915 and two years
later he got MA Degree.
He served as a teacher for some time and later obtained a research
fellowship of Madras University, and worked there for four years. Then he
went UK with scholarship from the University of Madras and worked with
H.W.Turnbull of St Andrews, Prof ET Whittaker of Edinburgh and Prof
H.F.Baker of Cambridge. His papers on binary and double binary forms
obtained him the Ph.D degree of St Andrews University, while his studies
on pedal correspondence, the general (m,n) correspondence and on mixed
determinants, earned for him D.Sc degree of the same University. After
three years stay in UK, Dr.RV returned to India in 1925. After teaching for
a year at BHU he took charge of the newly formed research department of
the Madras University in 1927, and worked there till his retirement in
1952, conducting and guiding research and lecturing on many basic
modern disciplines like Symbolic Logic, Set Theory, Lattice Theory,
Topology etc. He published in 1947 a treatise on Set Topology, the first
book on the subject published in India in which he made partial order and
Lattice theory the basis of the whole treatment.
Earlier to establishment of the Department of research in
Mathematics by the University of Madras, it encouraged young men of
promise to undertake research studies in Mathematics in the University.
The first of them was the late SrinivasaRamanujan, who was given a
special
research scholarship for a number of years, while he was pursuing his
prolific work on the Theory of Numbers with Professor Hardy at Cambridge.
He was offered a professorship in the Department of Mathematics,
24
University of Madras, after his return from England. He could not,
however, take up this position owing to his serious illness. His untimely
death after his return to India deprived the University of the chance of
making him the first Professor of Mathematics and starting the Department
of Mathematics then. The extraordinary abilities of SrinivasaRamanujan,
F.R.S. helped the revival of an interest in this part of the country in
Mathematics.
*Text of the lecture delivered at the annual Conference of A.P. Society
of Mathematical Sciences, S.V.University,Tirupati on 7th December 2012.
The next student who received a foreign scholarship from the Madras
University for higher studies in the subject was Sri R.Vaidyanathaswamy.
He held it for a little over two years and he also got a scholarship to
continue his work after his return to India. Dr.R.Vaidyanathaswamy, M.A.,
Ph.D. (London), D.Sc. (Edin.), was appointed Reader by the Madras
University in 1927 to develop the Department of Mathematics as a centre
for research. He served the Department for 25 years till his retirement in
1952. From 1952, Dr.V.S.Krishnan, M.A., M.Sc., B.T. (Madras), D.Sc.
(Paris), was in charge of the Department as Reader in Mathematics. The
history of the Department's activities during the first thirty years may be
roughly divided into four periods 1927 to 1936, 1937 to 1948, 1949 to
1952 and 1952 to 1957.
During the period 1927 to 1936, Dr.Vaidyanathaswamy concentrated
on Geometry, and algebraic methods in geometry. He also guided students
working in real and complex analysis. He published a number of papers on
topics like 'Multiplicative arithmetic functions', 'Quadratic reciprocity of
polynomials modulo p', The rational norm curve', Closed forms and polar
forms', 'Apolarquadro loci', and 'The Hart system of circles'. The work of the
research students was co-ordinated with the work of the Reader.
The period 1937 to 1948 was one of considerable research activity
and Dr. R.Vaidyanathaswamy, introduced to his students, in various
lecture courses arranged for their benefit in the Department, many of the
new developments in the subject. This University Department, was then
the first, and for some time the only center where some of these topics of
basic importance were studied. The topics included: Modern Algebra,
Symbolic Logic, Boolean Algebra and its relation to Logic, Elements of Set
Theory, Topology of Points Sets, Study of Linear Spaces, of Spectral Theory
in a Hilbert space, Convergence questions in topology, Partial order lattice
25
theory, etc. Among the publications of the period are articles by Dr.
R.Vaidyanathaswamy and students on such topics as: The Algebra of
Quadratic Residues, the Group operations of a Boolean algebra, QuasiBoolean Algebras and Open sets of a Topological Space, Localization Theory
in Set Topology, etc., The students published articles on Tauberian
theorems, Systems of non-linear integral equations, Legendre functions,
Semi-convergent series, Expansions in Eigenfunctions, Multiplicative
functions, Structure of the propositional calculus, Bessel summability of
series, Riesziansummability, Intuitionistic theory of linear order, the last
residue class in a Distributive Lattice, Ramanujan's trigonometric sum,
Congruences and Homorphisms on partially ordered sets, Desarguesian
geometries, the Grassman cubic and the Wallance line, Duality of linear
complexes in affine spaces, etc. In 1947 Dr.Vaidyanathaswamy published
his 'Treatise on set-topology', in which much valuable material on the
subject is brought together, and lattice methods are systematically used.
In the period 1949 to 1952, the introduction of a new one-year M.Sc.
course in the Department for post-Honours students, made it possible to
organize a course of study that would enable bright young students from
the Honours classes to bridge the gap from the Honours level to that
necessary for taking up research work in the Department. The promotion of
Dr. R.Vaidyanathaswamy to a Professor in 1949.the appointment of
Dr.M.Venkataraman, M.A., Ph.D., as a Research Assistant the same year,
and his subsequent promotion to a senior lecturership, strengthened the
personnel of the Department. The help, willingly given, by Professors from
Colleges in and around the City in taking classes for the M.Sc. made it
possible to organize the M.Sc. course effectively. The syllabus for the
course varied from time to time during the first three years. It included
topology, function spaces, probability and quantum mechanics. Later, it
comprised modern algebra, topology, group representations, quantum
mechanics, group and lattices theories, ring and field theories,
fundamentals of set-topology and representation theory for structures. The
running of this course had greatly facilitated the training of students for
research and students who did well in the M.Sc. generally took up research
work in the Department or in other centres of research.
Form 1952 to 1957 the work of the Department was carried on along
the lines generally followed by Professor Vaidyanathaswamy till he retired
in 1952. Besides teaching of the M.Sc. classes, the newly appointed
Reader, Dr.V.S.Krishnan, who succeeded Prof. R.Vaidayanathaswamy as
the Head of the Department, and the Senior Lecturer were organizing
26
courses of lectures lasting two months or a term each, on various topics of
current interest for the benefit of the research students, like set theory,
lattice theory, modern algebra, set-topology, convergence and uniformity in
spaces, measure theory, algebraic topology, and a general analysis of
structures that combine aspects of the demi-group half lattice and
topology. During these few years the Department also had contact with the
Tata Institute of Fundamental Research at Mumbai (formerly Bombay).
Many experts were invited to give a few lectures at the University. Among
such distinguished visitors may be mentioned professors During and Siegal
from Gottingen, Professor Eichler from Germany, and Professor Ambrose
from Massachusettes.
Many students had taken their higher degrees on the basis of theses
submitted after research in the Department. Six persons secured the D.Sc.,
many were awarded the Ph.D. and the M.Sc. Degrees of the University on
the basis of the University examination for the M.Sc. since 1947. The great
traditions of research activity and the increased scope of expanding the
facilities in the Department envisaged in the programmes of the University
for the coming years, augured a bright future for the Department as one of
the important centres of mathematical studies in this country. The 'Note
books'
of
SrinivasaRamanujan
and
the
'Collected papers
of
R.Vaidyanthaswamy' were printed during the memorable year 1957, the
year of the Centenary of the Madras University.
Dr RV was the first south Indian, to undertake a serious and deep
study of lattice theory and point set topology. Dr RV’s wide scholarship and
his passionate belief that the various disciplines in mathematics are not
isolated topics , but form an integrated whole are further seen in his papers
on Group Theory,Boolean Algebra, Symbolic Logic, and Determinants.
RV was a front rank mathematician possessing a wide range of
scholarship and interest . It just happened that almost all the prominent
mathematicians of the generation next to him in this part of India are his
people and have derived their inspiration from him. He could be regarded
as having shaped the course of mathematical development in this part of
our country.He was very actively connected with the IMS as the Editor of
the Journal for several years , and as President of the Society for several
sessions. Each of his Presidential Addresses contains masterly surveys of
different fields of Mathematics.
27
As a man he was simple, even austere in his dress and habits. He
was a strict vegetarian , never drank, rarely smoked and indulged in few
luxuries unless betel and tobacco chewing and novel reading he indulged
among luxuries. Besides mathematics , he was keenly interested in
carnatic music and in Yoga sadhana. He was akeen student of Sri
Aurobindo’s philosophy. He studied the Vedas in their original Sanskrit
Text and believed with Sri Aurobindo , that there was deep inner meanings
associated with them which modern Indians should seek to unravel.
In fact right upto a brief period before his death , he was giving
lectures every week on the interpretation of some of the vedic texts . Warm
and lovable , dignified and cultured , there was nothing narrow in his
outlook He was ever ready to discuss difficult points and give helpful
guidance to students whether his own or working elsewhere. He was not
only a great mathematician , but what is rarer- a great man.
28
ABSTRACTS
29
NYM-001
TIME DEPENDENT PERISTALTIC TRANSPORT IN CURVED
CHANNELS : APPLICATIONS TO GASTROINTESTINAL TRACT
AND SIMILAR PHYSIOLOGICAL SYSTEMS
V. K. Narla & K. M. Prasad
J. V. RamanaMurthy
P. G. Siddheshwar
Department of Mathematics,
GITAM University
Hyderabad, India
Email: vknarla@gmail.com
Department of Mathematics
National Institute of Technology
Warangal,
India
Department of Mathematics,
Bangalore University
Central College Campus,
Bangalore, India
Abstract: Gastrointestinal tract is an interesting part of the human physiological system that
has many physical processes in it coupled with fluid dynamics. It is only possible to capture
certain aspects of the same in a mathematical model with essential gross features of the
system not missed out. The paper presents a generalized mathematical model describing the
time dependent peristaltic flow of a viscous fluid in a two dimensional curved channel
subject to absorption and/or desorption. The flow is investigated in a laboratory frame of
reference and the flow nature is studied by the fact that prescribing volumetric flow rate is
equivalent to prescribing normal velocity of the fluid particles at the wall. The momentum
equation has been linearized by employing lubrication theory and the analysis is restricted
to negligible flow Reynolds number. The expressions for stream function, velocity and
pressure distribution have been derived. The effects of absorption and/or desorption at the
wall on pressure distribution and local wall shear stress with respect to time are observed.
NYM-002
HOMOTOPY ANALYSIS METHOD
BOUNDARY VALUE PROBLEMS
FOR
EIGHTH
T.Hymavathi
W.Sridhar
P.Vijay Kumar
Department of Mathematics,
Adikavi Nannaya University,
Rajamundry.
talla.hymavathianur@gmail.com
Department of Mathematics,
Adikavi Nannaya University,
Rajamundry
Department of Mathematics,
Adikavi Nannaya University,
Rajamundry
ORDER
Abstract: In this paper, homotopy analysis method (HAM) is demonstrated to solve eighth
order boundary value problems. HAM solution contains an auxiliary parameter ‘h’ which
provides a convenient way to control the convergence region of the series solutions.
Numerical examples are given to check the efficiency of the method. Comparisons are made
to confirm the reliability and accuracy of the technique.
Keywords: Boundary value problem, Series solution, Error estimate, Homotopy Analysis
Method.
30
NYM-003
EXPLOSURE OF MICRO ELECTROMECHANICAL SYSTEMS
(MEMS) BASED APPLICATIONS
N. Aruna
M.N. Himabindu
Asst. Professor,
Dept. of Science & Humanities
Lakireddy Balireddy College of Engineering,
Mylavaram
Asst. Professor
Dept. of CSE
Potti Sriramulu College of Engg. &
TechnologyVijayawada-1
Abstract: Over the past two decades, several advances have been made in micro machined
sensors and actuators. These micro sensors are used in almost every possible sensing
modality including temperature, pressure, inertial forces, chemical species, magnetic fields,
radiation etc. At this time, piezoelectric aluminium-nitride-based Film Bulk Acoustic
Resonators (FBAR) have already been successfully commercialized in many applications.
Future innovations and improvements in inertial sensors for navigation, high-frequency
crystal oscillators and filters for wireless applications, micro actuators for RF applications,
chip-scale chemical analysis systems and countless other applications hinge upon the
successful miniaturization of components and integration of piezoelectrics and metals into
these systems. In this paper, a comprehensive study of microelectromechanical systems,
materials, fabrication technology and various applications of MEMS will be explained.
Key words: MEMS, Materials, Fabrication, Sensors and Actuators, Fabrication technology
NYM-004
HALL EFFECT ON MHD MIXED CONVECTION FLOW OF A PAST
AN INFINITE VERTICAL POROUS PLATE WITH MASS
TRANSFER AND RADIATION
V.Srinivasa Rao
Anurag of Group of Institutions, Venkatapur (V), Ghatkesr (M), R.R.Dist, Andhra Pradesh.
Email: uhita@yahoo.com
Abstract: An unsteady hydro-magnetic flow of a radiative vertical porous plate has been
studied with mass transfer, taking the effect of Hall currents into account. The resulting
problem has been solved by finite element method and the solutions are obtained for
velocity, temperature and concentration distributions as well as for the shearing stress, rate
of heat and mass transfer at the wall. The influence of the various parameters like Radiation
parameter, Hall parameter, Hartmann number, frequency parameter etc. on the flow field is
examined with the help of figures and tables.
Keywords: Hall Effect, MHD, radiative transfer, mass transfer, finite element method.
NYM 005
PAST, PRESENT AND FUTURE OF THE AVOGADRO NUMBER
31
U.V.S. Seshavatharama,b
Prof. S. Lakshminarayana
aHonorary
Dept. of Nuclear Physics,
Andhra University,
Visakhapatnam-03, AP, India
E-mail: lnsrirama@yahoo.com
faculty, I-SERVE, Alakapuri,
Hyderabad-35, AP.
bSr. Engineer, QA - Spun division,
Lanco Industries Ltd, Srikalahasti, AP.
E-mail: seshavatharam.uvs@gmail.com
Abstract: The definition of Avogadro number  N  and the current experiments to estimate
it, however, both rely on the precise definition of “one gram”. Hence most of the scientists
consider it as an ad-hoc number. But in reality it is not the case. In atomic and nuclear
physics, atomic gravitational constant is Avogadro number times the Newton’s gravitational
constant. Key conceptual link that connects the gravitational force and non-gravitational
forces is - the classical force limit, FC   c 4 G  . Ratio of classical force limit and weak force
magnitude is  FC FW   N 2 . Thus in this paper authors proposed many unified methods for
estimating the Avogadro number.
NYM -006
ALGORITHMS AND CRYPTOGRAPHIC PROTOCOLS USING
ELLIPTIC CURVES
Abstract: Number theory is a classical discipline in mathematics and has been studied
already in ancient times. It is the study of relations among the integers. Cryptography is the
art of secretly transmitting information and is as such as old as people trying to hide their
secrets. In recent years cryptography has changed a lot -- away from a science that was
mostly related to military and secret service to a nominee present enabler of online banking,
e Commerce, and secure email to mention just a few. Cryptography is an exciting and
motivating topic with a touch of a spy novel and thus a great background for math projects.
A solid background in number theory is essential to understand the cryptography deployed
e.g. in Internet browsers. Even though in future pupils will not be expected to build their
own crypto algorithm they should be able to understand the framework in which they are
operating, not the least to make valid decisions which services to trust. We will review
fundamental results such as the Euclidean Algorithm and the Chinese Remainder theorem
and understand the RSA cryptosystem and the original version of Diffie-Hellman key
exchange. The integers modulo a prime p form the simplest case of a finite field. Finite
fields are an important building block of cryptography, in particular of public key
cryptography. We consider general finite fields and study their use in elliptic curve
cryptography.
The relevance of elliptic curve cryptography has grown in recent years, and today
represents a corner stone in many industrial standards. Although elliptic curve variants of
classical cryptosystems such as RSA exist, the full potential of elliptic curve cryptography
is displayed in cryptosystems based on the Discrete Logarithmic problem, such as
ElGamal.For these elliptic curve cryptosystems guarantee the same security levels as their
finite field analogous, with the additional advantage of using significantly smaller key size.
In this report we show the properties of elliptic curves, cryptosystems, and the
requirements a curve must meet to be useful in this context, closely related to the number of
points.
Key words: Number theory, Cryptography, Elliptic curves, finite fields.
NYM -007
RADIATION EFFECT DUE TO NATURAL CONVECTION FLOW
BETWEEN HEATED INCLINED PLATES UNDER THE
INFLUENCE OF TRANSVERSE MAGNETIC FIELD
32
P.Mohan Krishna#1
Dr.V.Sugunamma#2
#1
Research Scholar, Department of Mathematics, S.V.University, Tirupati-517502.
Email:mohankrishna.msc@gmail.com
#2 Associate Professor, Department of Mathematics, S.V.University, Tirupati-517502.
Email:vsugunar@yahoo.co.in
Abstract : We analyse the effect of small uniform magnetic field and radiation on
separation of a binary mixture for the case of fully developed natural convection of a fluid
between two heated inclined plates is investigated. Neglecting the induced electric field the
equations governing the motion, temperature and concentration are solved by simple
perturbation technique, in terms of dimensionless parameter measuring buoyancy force.
NYM 008
NONNEGATIVE MOORE-PENROSE INVERSES OF MATRICES
Kurmayya Tamminana
Department of Mathematics, NIT Warangal, Warangal-506004, Andhrapradesh
Abstract : Let A ϵ R m x n. Then the matrix X ϵ R m x n is called the Moore-Penrose inverse of
A if AXA = A, XAX = X, (AX)T = AX and (XA)T = XA. And it is denoted by A†. In this
talk we characterize the nonnegativity of A†. Here nonnegativity means entry wise
nonnegativity.
Note: The above results are based on joint research with my Ph.D. supervisor
K.C.Sivakumar.
NYM 009
A COMPARATIVE STUDY OF EIGEN VECTOR METHOD AND
STOCHASTIC VECTOR METHOD –AN ILLUSTRATION
Dr. P.Kousalya
Dept. of Humanities and Sciences( Mathematics), Vignana Bharathi Institute of Technology
Hyderabad, Andhra Pradesh
Abstract: This paper aims to show through an example a comparative study of Stochastic
Vector method and Eigen Vector Method .The problem of selecting a computer system
which has four criteria and three alternatives that is available in the literature is applied to
stochastic vector method .The results are analyzed by considering the paired correlation
coefficients of the two methods.
33
NYM 010
A FIXED POINT THEOREM IN QUASI GAUGE SPACE
G.Venkata Rao and I.H.Nagaraja Rao
Abstract: The concept of Quasi Gauge space is due to Reilly[2]. Subramanayam[3]
introduced the concept of left and right Cauchy sequence and sequentially completeness in
Quasi Gauge space. Rao and Murty[1] proved a fixed point theorem for four self maps on
a Quasi Gauge space under certain conditions.
In this paper, the above result is generalized and extended to six self maps.
NYM 011
ON THE TRUTH VALUES OF FUZZY STATEMENTS
U.M. Swamy
Ch. Prabhakara Rao
T.Rama Rao
umswamy@yahoo.com
raoprabhakar_ch@rediffmail.com
ramaraothota99@yahoo.com
Abstract: It is known that the interval [0, 1] of real numbers is insufficient to have the truth
values of general fuzzy statements. In this paper we discuss an important class of lattices
which are most suitable to contain the truth values of almost all the fuzzy statements.
Key words: Fuzzy statements, truth values, Lattices, complete lattices, distributivity,
Infinite meet distributivity.
NYM 012
A FIXED POINT THEOREM OF GENERALIZED WEAKLY
CONTRACTIVE MAPS IN ORBITALLY COMPLETE METRIC
SPACES WHEN THE CONTROL FUNCTION IS NOT
NECESSARILY CONTINUOUS
K.P.R.Sastry
Ch.Srinivasa Rao
N.Appa Rao
8-28-8/1, Tamil street
Chinna waltair
Visakhapatnam – 530 017 India
kprsastry@hotmail.com
Department of Mathematics
Mrs.A.V.N.College
Visakhapatnam – 530 001 India.
drcsr41@yahoo.com
Department of Basic Engineering
Chalapathi institute of Engineering
and Technology, Lam
Guntur – 530 026, India.
nalluri.apparao@gmail.com
Abstract: In this paper, we have introduced the concept of a control function, and strict
generalized weakly contractive map of a metric space. We use this notion to prove a fixed
point theorem on orbitally complete metric spaces. Babu and Sailaja [2] proved a similar
result assuming the control function to be continuous an open problem is also given at the
end of the paper.
Keywords: Weakly contractive maps, Generalized weakly contractive maps, Fixed point,
T- orbital complete metric spaces, strict generalized weakly contractive map, control
function.
34
NYM 013
A FIXED POINT THEOREM IN FUZZY METRIC SPACE
S.Rajesh and I.H.Nagaraja Rao
Abstract: At times, in our daily life, we come across some vague situations that may be due
to fuzzyness rather than randomness. Those can successfully be tackled by the concept of
fuzzy sets introduced by Zadeh[3] in 1965. Kramosil and Michalek[1] initially introduced
the concept of fuzzy metric space and developed a few results. Later on an extensive study
has been done by a number of authors[1 & 2]. In this paper, we prove a common fixed point
theorem in a fuzzy metric space for four self maps, with supporting example. This is an
extension of a result of Saurabh Manro et. al.[2].
NYM 014
CHARACTERIZATION OF PARTIAL LATTICES ON LATTICE
-ALGEBRAS
D.V.S.R. Anil Kumar
J. Pramada
Venkata Sundaranand Putcha
Nizam Institute of Engg. and Tech.
Deshmukhi, Nalgonda district,
Hyderabad, A.P., India.
anilkumardaita@yahoo.in
Bharat Institute of Engg. and Tech.
Hyderabad, A.P., India
pramadadaita@yahoo.co.in
Center for Mathematical Sciences-DST, CR
Rao Advanced Institute of Mathematics,
Statistics and Computer Science,
University of Hyderabad Campus,
Hyderabad, 500 046, India
anand_putcha@yahoo.com
Abstract: In this paper new concepts countable join property, countable meet property, P–
lattice and Pδ–lattice are introduced. We established that P–lattice and Pδ–lattice are
measureable partial lattices and characterized partial lattices of a lattice through countable
join and meet properties.
*Venkata Sundaranand Putcha is supported by DST-CMS project Lr.No.SR/S4/MS:516/07,
Dt.21-04-2008 and the support is gratefully acknowledged.
Key Words: Lattice, Partial Lattice,  -Algebra, Measure
NYM 015
AN ALTERNATIVE APPROACH TO SOME CONTRACTION FIXED
POINT THEOREMS IN 2-METRIC SPACES
T. Phaneendra
K. Kumara Swamy
Applied Analysis Division,
School of Advanced Sciences
VIT-University, Vellore - 632 014, Tamil Nadu, India
E–mail: drtp.indra@gmail.com
Department of Mathematics Malla Reddy Engg.
College for women, Maisammaguga, Dhulapally
Sec Bad - 500 014 (AP), India,
E–mail: 1024kumar@gmail.com
Abstract: Joseph and Kwack worked out on an alternative approach to the proof of some
contraction fixed point theorems in metric spaces. This is based on the repeated application
of triangle inequality of the metric and elementary properties on infimum. The results of our
paper are analogues of these in 2-metric spaces.
35
Key Words: Complete 2-metric space, Contraction on a 2-metric space, Infimum, Fixed
point
NYM 016
THE ZERO DIVISOR GRAPH OF A COMMUTATIVE RING
1D.Eswara
1Research
Rao and 2Dr. D.Bharathi
scholar, Department of Mathematics, S.V.University, Tirupathi.
professor of Mathematics, S.V.Univeristy, Tirupathi.
e-mail: msceswar@gmail.com
2Associate
Abstract: we investigate the properties of Ring theory and Graph theoretic properties of
zero divisor graph Γ(R). we will discuss the construction of zero divisor graphs.
NYM 017
PHYLOGENETIC TREES IN BIOINFORMATICS
V. Manjula
Basic Engineering Department,DVR& Dr. HS MIC College of Technology, Kanchikacherla
manju_adiraju@yahoo.co.in
Abstract:-This paper describes graph theoretical application in Bioinformatics.
Bioinformatics is a newdiscipline and it has become an important and integral part of life
science courses now a days. Bioinformatics Provides essential analysis of life at molecular
level, its structure and function are regulation of gene expansion from huge database.
Phylogenetic relationships can be represented by trees. A tree can is a particular kind of
graph and a graph is a structure containing nodes connected by edges. Phylogenetic analysis
of nucleic acid and protein sequence is an important area and Phylogenetic tree is an
important graphical tool to analyze the changes that have occurred in the evolution of
different organisms. Phylogenetic analysis may also be used to follow the changes occurring
in rapidly changing species such as virus etc. The evolutionary relationships among the
sequences can be depicted by ploting sequences as outer branch of tree and branch
relationships as the inner part of the tree.The resulting relationships from
phylogenetic/claudistic analysis are most commonly represented by Phylogenetic trees.
Objective: Phylogenetic analysis can be used to discover all of branching relationships in
the tree and the branch lengths.
Important findings:
1. Phylogenetic trees are branching diagrams that represent possible evolutionary
pathways
2. Phylogenetic trees can be used to find out the evolutionary history of taxa and how
they are related to each other.
Motivation and method of solution The comprehensive outlook of present work is
focused on Graph Applications to Bio –Informatics. Concepts and notations are from
prescribed text books.
36
NYM 018
A RESULT ON HAMILTONIAN AND MEDIAN GRAPHS
S. Venu Madhava Sarma
Assistant Professor of Mathematics
K. L. University, Vaddeswaram
E-mail: svm190675@gmail.com
N.B.V.Prasad
Department of Mechanical Engineering
K.L. University, Vaddeswaram
E-mail: prasadnbv_css@kluniversity.in
Abstract: In this paper we discuss about Hamiltonian graphs, , Median graphs and obtained
a result on Hamiltonian and median graphs.
Key words: Graph, Hamiltonian path, inference graph, median graph.
NYM 019
IMPROVED UPPER BOUNDS FOR SOME OF THE RADIO
K-CHROMATIC NUMBER OF PATHS
Srinivasa Rao Kola
Pratima Panigrahi
Department of Mathematics
Rajiv Gandhi University of Knowledge Technologies
Hyderabad 500032, India
Department of Mathematics
Indian Institute of Technology Kharagpur
Kharagpur 721302, India
Abstract: Radio coloring is a variation of channel assignment problem discussed by Hale in
1980. For any simple connected graph G with diameter d and an integer k, 1 ≤ k ≤ d, a radio
k-coloring is an assignment f of positive integers to the vertices of G such that |f(u)−f(v)| ≥
1+k −d(u; v), where u and v are any two distinct vertices of G and d(u; v) is the distance
between u and v. The maximum color (positive integer) assigned by f to some vertex of G is
called the span of f. The minimum of spans of all possible radio k-colorings of G is called
the radio k-chromatic number of G, denoted by rck(G). For any path Pn of order n and for
any integer k, 1 ≤ k ≤ n − 1, Chartrand et al. have given an upper bound for the radio kchromatic number of Pn as
k 2  2k  1
k 2  2k  2
when k is odd and
when k is even. For k
2
2
= n − 1, n − 2, n − 3, and n − 4 (n odd) the exact values of the radio k-chromatic numbers
have been determined. Here we improve the upper bound of rck(Pn) for every k ≥ 7 and k +
4≤n≤
3k  1
k 1
by defining radio k-colorings for Pk+s, 4 ≤ s ≤
Moreover, for fixed k the
2
2
improvement of the upper bound of rck(Pn) is different for different values of n.
37
NYM 020
COMPLEMENTARY TREE VERTEX EDGE DOMINATION
S.V. Siva Rama Raju
I.H. Nagaraja Rao
Department of Mathematics
M.V.G.R. College of Engineering
Vizianagaram, India, shivram2006@yahoo.co.in
G.V.P. College for P.G. Courses
Visakhapatnam, India
ihnrao@yahoo.com
Abstract:-The concept of complementary tree vertex edge dominating set(ctved- set) of a
_nite, connected graph G is introduced and characterization result for a non empty proper
subset of the vertex set V of G to be a ctved-set is obtained. The minimum cardinality of a
ctved-set is de- noted by ctve(G) and is called as ctved number of G. Bounds for this
parameter as well, are obtained. Further, the graphs of order n for which the ctved numbers
are 1; 2; n − 1 are characterized. Trees hav- ing ctved − numbers n − 2; n − 3 are also
characterized. Exact values of this parameter for some standard graphs are given.
NYM 021
CONSTRUCTED AN ALGORITHM FOR FINDING A NON- SPLIT
DOMINATING SET OF A CIRCULAR-ARC GRAPH
Dr. A. Sudhakaraiah
V. Rama Latha
Associate Professor
Department of Mathematics
S. V. University
Tirupati-517502, Andhra Pradesh, India.
sudhamath.svu@gmail.com
Research Scholar
Department of Mathematics,
S.V.University
Tirupati, AP, India
sudhamath.svu@gmail.com
Abstract: In graph theory, a connected component of an undirected graph is a subgraph in
which any two vertices are connected to each other by paths. For a graph G, if the sub graph
of G itself is a connected component then the graph is called connected, else the graph G is
called disconnected and each connected component subgraph is called it’s components.
Circular-arc graphs have variety of applications involving traffic light sequencing, genetics
etc. A dominating set D of graph G = (V,E) is a non-split dominating set if the induced
subgraph < V-D > is connected. The non-split domination number  ns (G ) ) of G is the
minimum cardinality of a non-split dominating set .In this paper we constructed an
algorithm for finding a non-split dominating set of a Circular-Arc graph and also its
relationships with other parameters is investigated.
Keywords: Circular-arc family, Circular-arc graph, Dominating set, Non-split dominating
set, Non-split domination num
38
NYM 022
THE SZEGED INDEX OF TENSOR PRODUCT GRAPHS
K.V.S.Sarma
I.H. Nagaraja Rao
Associate Professor
Regency Institute of Technology
Yanam
Sr.Professor & Director
G.V.P. College for P.G. Courses
Visakhapatnam, India. ihnrao@yahoo.com
Abstract:-Here under, by a graph we mean a non-empty, connected and simple graph.
Chemical graphs are just graph-based descriptions of molecules with vertices representing
the atoms and edges representing the bonds. A numerical invariant associated with a
chemical graph is known as topological Index.
The Wiener Index is the first topological index introduced by the chemist Harold
Wiener for investigating boiling points of alkanes. A recently introduced one is “Szeged
Index” of a graph and it has considerable applications in molecular chemistry.
In this paper the Szeged indices related to the tensor product of standard graphs
namely Km  Kn, Km  Cn, Km  P3 and Km  P4 are calculated.
NYM 023
CHARACTERIZATION OF INTERVAL GRAPHS AS CONNECTED
GRAPHS, PATHS AND GENERALIZED STARS
Ms.V.Raghava Lakshmi
Dr. A. Sudhakaraiah
Research Scholar
Department of Mathematics,
S.V.University
Tirupati, AP, India
Department of Mathematics
S. V. University
Tirupati-517502, Andhra Pradesh, India.
sudhamath.svu@gmail.com
Abstract: Interval graphs play a vital role in diverse areas like networking, genetics,
archeology, sociology and psychology. In this paper, apart from discussing the
conditions required for an interval graph to be a connected graph and characterizing the
connected graph of order n, size m and degree sequence d1, d2, .....,dnas a path graph with
the help of the inequality (d12+ d22 +….+ dn2 ) < 4m, we do emphasize on specifying the
conditions under which a connected interval graph befits a generalized 3-star,
generalized double 3- star, generalized 4- star. Further more, the above said star graphs of
order n, size m and degree sequence d1, d2,......, dn are characterized in terms of the equality
(d12 + d22 +….+ dn2 ) = 4n-x, where x = 4, 2, 0 respectively.
Key Words: Interval Graphs, Connected Graphs, Paths and Generalized Stars.
NYM 024
SPLIT DOMINATING SET OF AN INTERVAL GRAPH USING
ALGORITHM.
AN
39
V. Rama Latha
Dr. A. Sudhakaraiah
Research Scholar
Department of Mathematics,
S.V.University
Tirupati, AP, India
Department of Mathematics
S. V. University
Tirupati-517502, Andhra Pradesh, India.
sudhamath.svu@gmail.com
Abstract:-Interval graphs play a vital role in diverse areas like networking, genetics,
archeology, sociology, psychology, ecology etc. and rich in combinatorial structures. Also it
has many applications in real life situations such as traffic control etc. We study the problem
of computing minimum dominating sets of n intervals on lines. In this paper present an
algorithm to find split dominating set and we discussed new algorithm for split domination
in graphs using (minimum dominating set) MDS algorithm. We get many bounds and split
domination number.
Key Words: Interval graph, Connected graph, Dominating Set, split dominating set,
Connected dominating set, split dominating number.
NYM 025
TO FIND A 2-TUPLE DOMINATING SET OF AN INDUCED
SUBGRAPH OF A NONSPLIT DOMINATING SET OF AN
INTERVAL GRAPH USING AN ALGORITHM
E. Gnana Deepika
Dr. A. Sudhakaraiah
Research Scholar
Department of Mathematics,
S.V.University
Tirupati, AP, India
Department of Mathematics
S. V. University
Tirupati-517502, Andhra Pradesh, India.
sudhamath.svu@gmail.com
Abstract: In Graph Theory, a connected component of an undirected graph is a subgraph in
which any two vertices are connected to each other by paths. For a graph G , if the subgraph
G itself is a connected component then the graph G is called connected, else the graph G is
called disconnected and each connected component subgraphs is called its components. A
dominating set D a of graph G(V,E) is a non-split dominating set, if the induced subgraph
<V- D> is connected. The non-split dominating number  ns (G ) of G is the minimum
cardinality of a nonsplit dominating set. The 2-tuple domination problem is to find a
minimum size vertex subset such that every vertex in the graph is dominated by at least 2
vertices in the set. In this paper we discussed an algorithm to find a 2-tuple dominating set
of an induced subgraph of a non-split dominating set of an interval graph.
Key Words: Interval family, Interval graph, connected graph, Dominating Set, Non-split
dominating set, 2-tuple domination, design of an algorithm.
40
NYM 026 EFFICIENT DOMINATING SET OF AN INTERVAL
GRAPH USING AN ALGORITHM
A. Sreenivasulu
Research Scholar
Department of Mathematics,
S.V.University
Tirupati, AP, India
Dr. A. Sudhakaraiah
Department of Mathematics
S. V. University
Tirupati-517502, Andhra Pradesh, India.
sudhamath.svu@gmail.com
Abstract: Interval graph has many applications in different real life situations. It is a very
important subclass of intersection graphs and perfect graphs. We study the efficient
domination on interval graphs. Interval graphs are rich in combinatorial structures. For a
graph G, if the sub graph of G itself is a connected component then the graph is called
connected, else the graph G is called disconnected. A dominating set S of a graph G is
called efficient if N (v)  S  1 for every vertex v V (G ) . A dominating set S of graph G is
called efficient if and only if every vertex is dominated exactly once. In this paper we
present an algorithm to find an efficient dominating set of an interval graph which is
connected.
Key Words: Interval Graph, Connected Graph Dominating Set, Dominating number,
Efficient Dominating set, Efficient Dominating number.
NYM 027
CONTRACTIVE MODULUS AND COMMON FIXED POINT FOR
THREE ASYMPTOTICALLY REGULAR
AND WEAKLY
COMPATIBLE SELF-MAPS
Swatmaram
T. Phaneendra
ChaitanyaBharathi Institute of Technology,
Hyderabad-500075, Andhra Pradesh State, India,
e-mail: ramuswatma@yahoo.com,
Applied Analysis Division,
School of Advanced Sciences,
VIT University, Vellore-632014, Tamil Nadu State,
India, e-mail: drtp.indra@gmail.com
Abstract: Let X be a metric space and A, S and T, self-maps on X. Given x0  X , if there are
points x1, x2, x3,... in X such that Sx2n–2 = Ax2n–1, Tx2n–1 = Ax2n for n  1 , then sequence  Axnn1
defines a sequential (S,T)-orbit or simply an orbit at x0 with respect to A. The space X
isorbitallycomplete at x0 if every Cauchy sequence in some orbit at x0 converges in X. The
pair(S, T) is asymptotically regular at x0 relative A if there is an (S, T)-orbit such that
Suppose
that
S(X)
A(X)
and
T(X)
A(X)
and
lim d ( Axn , Axn  1)  0 .
n
d(Sx,Sy)(max{d(Sx,Sy), d(Ax,Ay), d(Ax,Sx), d(Ay,Ty), d(Ax,Ty), d(Ay,Sx)}) for allx, y
X , where  is a non decreasing upper semi continuous contractive modulus with (0)  0
and (t)  t whenever t  0 . Given x0  X , if (S, T) is asymptotically regular at x0 with respect
to A and one ofA(X), S(X) and T(X) is an orbitally complete subspace ofXat x0, we prove
that A, S and T have a unique common fixed point, provided (S , A) or (T , A) is weakly
compatible. Our result generalizes the results of Singh and Mishra, and the second author.
Key words: Orbit, Asymptotic Regularity, Weakly Compatible self-maps, and Common
Fixed Point
41
NYM 028
K.PATH MINIMUM DISTANCE CONNECTIVITY FROM HEAD
QUARTER TO THE CITIES PROBLEM
P.Revathi
Dr. Sundara Murthy
Research Scholar
Department of Mathematics,
S.V.University, Tirupati, AP, India
revati.sai@gmail.com
Department of Mathematics
S. V. University
Tirupati-517502, A.P., India.
sudhamath.svu@gmail.com
Abstract: There are n cities N=1,2……n. d(i, j) be the distance from ith city to jth city in D is
the given distance matrix. Let 1 be the head quarter city. We want to connection all the (n-1)
cities from head quarter city by K.paths. Each city connected from head quarter city-1 either
directly or indirectly.
The objective of the problem is to find minimum total distance connecting all the
cities under the consideration. For this we developed algorithm called as lexi-search
Algorithm based on the pattern Recognization Technique and it is illustrated with a suitable
numerical example including two paths
NYM 029
MAGNETOHYDRODYNAMICS AND RADIATION EFFECTS ON
UNSTEADY CONVECTION FLOW OF MICROPOLAR FLUID PAST
A VERTICAL POROUS PLATE WITH VARIABLE WALL HEAT
FLUX
K.Venugopal Reddy
Department of BS&H,
Vignan’s Institute of Tech. &
Aeronautical Engineering, A.P
E-Mail: mgrmaths@gmail.com
Prof.S.Vijaya
Varma
Kumar M. Gnaneswara Reddy
Department of Mathematics
S.V.University,Tirupathi,A.P
Department of Mathematics
Acharya Nagarjuna University
Ongole Campus, Ongole,
A.P. (India) – 523 001
Abstract:An analysis is presented for the problem of the unsteady two-dimensional laminar
flow of a viscous incompressible micro polar fluid past a vertical porous plate in the
presence of a transverse magnetic field and thermal radiation with variable heat flux. The
free stream velocity follows an exponentially increasing or decreasing small perturbation
law. A uniform magnetic field acts perpendicularly to the porous surface in which absorbs
the micro polar fluid with a suction velocity varying with time. The Rosseland
approximation is used to describe radiative heat transfer in the limit of optically thick fluids.
The effects of flow parameters and thermo physical properties on the flow temperature
fields across the boundary layer are investigated. The method of solution can be applied for
small perturbation approximation. Numerical results of velocity profiles of micro polar
fluids are compared with the corresponding flow problems for a Newtonian fluid. Also, the
results of the skin friction coefficient, the couple stress coefficient at the wall are prepared
with various values of the fluid properties.
42
NYM 030
EFFECTS OF RADIATION AND CHEMICAL REACTION ON
TRANSIENT FREE CONVECTIVE MHD FLOW OVER A
VERTICAL POROUS PLATE
M. JayaBharath Reddy
G. Sivaiah
P. Srikhar Reddy
Assistant Professor in Mathematics
Oxford Degree College
Srikalahasti – 517644
mjbr246@gmail.com
Assistant Professor in Mathematic
Govt.Degree College Rajampeta
sivaiahgunti@gmail.com
Assistant Professor in Maths
KRC Degree College
Nellore
Abstract: The present paper study sought to investigate the effects of radiation and chemical
reaction as well as viscous heat dissipation on the free convection and mass transfer flow of
an electrically conducting, viscous, incompressible fluid, past an infinite vertical porous
plate, in presence of uniform externally applied transverse magnetic field. The plate is
subjected to a variable suction velocity and both the temperature as well as concentration is
assumed to be oscillating with time. The dimensionless governing equations for this study
are solved numerically using finite difference method. The velocity, temperature and
concentration profiles are shown graphically for various material parameters such as
magnetic parameter (M) ,Prndtl number (Pr),Schmidt number (Sc),Chemical reaction
parameter (Kr),Grashof number (Gr),modified Grashof number (Gm),Sink-strenfht
parameter (S),Permeable parameter (k).
Key words: Free Convection, Incompressible Fluid, Grashof number, Heat and Mass
Transfer
NYM 031
A.Venkata
Rao1
1Krishna
RADIATION AND MASS TRANSFER EFFECTS ON MHD FREE
CONVECTION FLOW THROUGH POROUS MEDIUM PAST AN
EXPONENTIALLY ACCELERATED VERTICAL POROUS PLATE
WITH VARIABLE TEMPERATURE
Srinivasa G. Venkata
Reddy2
Chaithanya Institute of
Sciences and Technology,
Markapur, Andhrapradesh (India)
Email: avsrao63@gmail.com
2Usharama
Ramana K. Jayarami Reddy3
College of Engineering
and Technology, Telaprolu, (India)
3Priyadarshini
College of
Engineering and Technology
Tirupati, (India)
Abstract: The purpose of this paper is to study the effect of mass transfer and thermal
radiation on MHD free convection flow past an exponentially accelerated vertical plate in a
porous medium with variable temperature and concentration. The fluid considered is gray,
absorbing emiting radiation but not a non – scattering medium. The dimensionless
governing equations under the Boussinesq approximation are solved by a closed analytical
method. The effects of various physical parameters on velocity, temperature and
concentration are studied. The results are shown graphically and the numerical values of
Skin friction are presented in tabular form. The analysis reveals that the Lorentz force
opposes the motion of the fluid more effectively in absence of porous matrix. Further it is
interesting to note that flow of fluid with higher thermal diffusivity in the presence of
porous matrix prevents the back flow.
Keywords: Radiation, magnetic field, exponential, accelerated vertical plate, heat transfer,
and chemical reaction
43
NYM 032
SORRET AND DUFOUR EFFECT ON CONVECTIVE HEAT AND
MASS TRANSFER THROUGH A POROUS MEDIA IN A
RECTANGULAR CAVITY
Dr.D.Chitti Babu
Prof.D.R.V.Prasada Rao
Reader in Mathematics
Govt.College(A), Rajahmundry
Department of Mathematics
Anantapur.
Abstract: In this chapter an attempt has been made to discuss the combined influence of
Sorret and Dufour effect on the convective heat and mass transfer flow of a viscous fluid
through a porous medium in a rectangular cavity using Darcy model. Making use of the
incompressibility the governing non-linear coupled equations for the momentum, energy
and diffusion are derived in terms of the non-dimensional stream function, temperature and
concentration. The Galerkin finite element analysis with linear triangular elements is used to
obtain the Global stiffness matrices for the values of stream function, temperature and
concentration. These coupled matrices are solved using iterative procedure and expressions
for the stream function, temperature and concentration are obtained as a linear
combinations of the shape functions. The behaviour of temperature, concentration, Nusselt
number and Sherwood number are discussed computationally for different values of the
governing Parameters.
NYM 033
RELIABILITY OF STRESS STRENGTH SYSTEM WHEN STRESS
FOLLOWS MIXTURE OF PARETO-DISTRIBUTION
T. Sumathi Umamaheswari
N.Swathi
Department of Mathematics
Kakatiya University,Warangal
Andhra Pradesh-506003
Email: sumathiuma21@gmail.com
Department of Mathematics
Kakatiya University,Warangal
Andhra Pradesh-506003
Abstract: Reliability is the probability of device performing its purpose adequately for the
period of time intended under the operating conditions encountered. In assessing system
reliability it is the first necessary to define and categorize different modes of system failures.
The individual distributions that are combined to form the mixture distribution are called the
mixture components, and the probabilities associated with each component are called the
mixture weights. A distinction needs to be made between a random variable whose
distribution function or density is the sum of a set of components and a random variable
whose value is the sum of values of two or more underlying random variables, in which
case the distribution is given by the convolution operator. Stress may combindly act on a
single stress system It can be assumed that the addition of stresses may not have equal ratio.
In this paper, it has been derived that the reliability of stress strength system, stress follows
mixture of Pareto distribution and strength follows Pareto distribution. Various values of
mixing parameters reliability are computed.
44
NYM 034
HEAT AND MASS TRANSFER FLOW OF A VISCOUS FLUID IN A
VERTICAL WAVY CHANNEL WITH HEAT GENERATING
SOURCES
M.Jayabharath Reddy
G.Sivaiah
Dr. K. Jayarami Reddy
Assistant Professor in Mathematics
SKIT, Srikalahasthi-517 644
Chittoor Dist
A.P. (India)
Dept. of Mathematics
Govt. Degree College
Jammalamadugu, Kadapa Dist
A.P.(India)
Professor and HOD
Dept. of Mathematics
Priyadarsini Institute of Technology
Tirupati, Chittoor Dist.
Abstract: In the present paper, the convective study of heat and mass transfer flow of a
viscous fluid in a vertical wavy channel under the influence of an inclined magnetic fluid
with heat generating sources. The walls of the channels are maintained at constant
temperature and concentration. The equations governing the flow heat and concentration are
solved by employing perturbation technique with a slope  of the wavy wall. The velocity,
temperature and concentration distributions are investigated for a different values of G, M,
m, N, N1,  and x. The rate of heat and mass transfer are numerically evaluated for a
different variations of the governing parameters.
Keywords: Magnetic field, Grashof Number and Heat and Mass Transfer
NYM 035
UNSTEADY MIXED CONVECTIVE HEAT AND MASS TRANSFER
FLOW THROUGH A POROUS MEDIUM IN A VERTICAL
CHANNEL WITH SORET AND DISSIPATION EFFECTS
Dr.P.Raveendra
Nath N.B.V.Rama Deva Prasad S.T.Dinesh Kumar
Lecturer in Mathematics
Sri Krishnadevaraya
University
College of Engg. and Tech.
S.K.University,Anantapur - 515 003
Lecturer in Mathematics
Balaji P.G.College
Anantapur
Assistant professor
Department of Mathematics
Govt.Science College
Chitradurgam, Karnataka
Abstract: Unsteady Hydromagnetic Mixed Convection flow of a viscous, electrically
conducting fluid through a porous medium confined in a vertical channel bounded by flat
walls. The unsteadiness in the flow is due to the travelling thermal wave is imposed on the
bounding walls. The concentration on the walls is maintained constant. A uniform
magnetic field of strength Ho is applied transverse to the boundaries. The coupled equations
governing the flow, heat and mass transfer are solved by using the perturbation technique
with , the aspect ratio as a perturbation parameter. The combined influence of the Soret
and dissipation effects on the velocity, temperature, concentration, stress and rate of heat
and mass transfer are discussed in detail.
Keywords: Mixed Convection, Heat Transfer, Mass Transfer, Dissipation
45
NYM 036
CONVECTIVE HEAT TRANSFER THROUGH A POROUS MEDIUM
IN A CYLINDRICAL ANNULUS WITH RADIATION AND
DISSIPATION EFFECTS
N.Srinivasa Rao
Asst.Professor, Department of Mathematics, GFGC, Hosakote, Bangalore-562114
Abstract: We make an attempt to study the mixed convective heat transfer through a porous
medium confined in a porous vertical cylindrical under a radial magnetic filed (Ho/r)
annulus between r = a and r = bi A non-linear density temperature variation is considered in
the equation state. The non-linear, coupled equations governing the flow and heat transfer
have been solved by using Gauss – Seidel iteration method. The velocity, temperature, stress
and rate of heat transfer are calculated numerically for variations in the parameters G, D -1,
M,  and .
Keywords: Heat Transfer, Porous medium, Radiation effect, Dissipation effect
NYM 037
HEAT GENERATION AND THERMAL RADIATION EFFECTS
OVER A STRETCHING SHEET IN A MICROPOLAR FLUID
M.Gnaneswara Reddy
N. Bhaskar Reddy
Department of Mathematics
Acharya Nagarjuna University
Ongole Campus, Ongole ,A.P. (India) - 523 001
E-Mail: mgrmaths@gmail.com
Department of Mathematics
Sri Venkateswara University
Tirupati, A.P.
Abstract: In the present paper, the effects of radiation and heat generation on steady thermal
boundary layer flow induced by a linearly stretching sheet immersed in an incompressible
micropolar fluid with constant surface temperature is investigated. Similarity transformation
is employed to transform the governing partial differential equations into ordinary ones,
which are then solved numerically using the Runge-Kutta fourth order along shooting
method. Results for the local Nusselt number as well as the temperature profiles are
presented for different values of the governing parameters. It is observed that the velocity
increases with an increase in the material parameter. It is seen that the temperature profile is
influenced considerably and increases when the value of heat generation parameter
increases along the boundary layer. Also, the temperature distribution of the fluid increases
with an increase in the radiation parameter. Comparisons with previously published work
are performed and the results are found to be in very good agreement.
Keywords: Heat transfer, Thermal radiation, Micropolar fluid, Stretching sheet, Heat
generation
46
NYM 038
CONVECTIVE HEAT TRANSFER IN A RECTANGULAR CAVITY
UNDER
THE
INFLUENCE
OF
RADIATION,
VISCOUS
DISSIPATION AND TEMPERATURE GRADIENT DEPENDENT
HEAT SOURCES.
Dr.V.Nagaradhika79
Associate Professor, Dept of Mathematics, Intellectual Institute Of Technology
Gutkur (V&P), Bellary Road,Anantapur-515711
Abstract: We consider the radiation effect on the free convective flow and heat transfer in a
heat generating viscous dissipative fluid in a saturated porous medium enclosed in a
rectangular duct with temperature gradient dependent heat source . The heat flux is
maintained constant on the top and bottom walls of the duct. The temperature on the vertical
walls is taken as a power function of distance along the wall.
Keywords: Finite Element, Rectangular Duct, Non-Darcy, Heat Source, Momentum
Energy.
NYM 039
ON VISCOUS DISSIPATION
THROUGH POROUS MEDIA
MODELLING
D. Bhargavi
V. V. Satyamurty
National Institute of Technology
Warangal 506 004
Indian Institute of Technology
Kharagpur 721302, India
FOR
FLOWS
Abstract: The form of the dissipation function for flows through porous media is not unique
and is axiomatic. Different models proposed by different authors for the dissipation function
applicable for porous media, have not always been compatible with the momentum
equations actually used in those particular investigations. The five forms of the dissipation
function, available in the literature for flow through porous media have been applied for
unidirectional flows only. Distinctly different forms are proposed in [1-3] These forms in
vogue for porous media in the literature do not follow when the procedure for clear fluid
flows as in, say, Schlichting and Gersten [4] has been adapted to obtain the conservation of
thermal energy equation. Different studies yielded differing results except at very small
Darcy numbers for convection problems employing the different dissipation models. In the
present article, the reasons for non-uniqueness of the viscous dissipation function applicable
for flow through porous media have been traced as mainly due to the convective terms
being absent (in most cases) in the momentum equations for the porous media and the
Darcian velocity term has no counterpart in the Navier-Stokes equations. Also, the models
available in the literature have not been derived considering a particular momentum
equation applicable for the porous media. A unified approach has been followed in the
present investigation to obtain the different models and the assumptions involved have been
brought out. In addition, it has been shown that additional forms of the viscous dissipation
functions are plausible for multi dimensional flow fields. Also, it has been shown that
certain models are mutually exclusive.
47
NYM 040
UNSTEADY HYDROMAGNETIC HEAT TRANSFER FLOW IN A
VERTICAL WAVY CHANNEL WITH RADIATION EFFECT
N.B.V.Rama Deva Prasad
Dr.P.Raveendra Nath
Lecturer in Mathematics
Balaji P.G.College, Anantapur
Lecturer in Mathematics
S.K. University College of Engg. and Tech,
S.K. University, Anantapur - 515 003,.
Abstract: In this paper we study the unsteady Convective Heat Transfer flow of a viscous
electrically conducting fluid in a vertical wavy Channel under the influence of an inclined
magnetic field. The unsteadiness in the flow is due to an Oscillatory flux in the fluid region.
The equations governing the flow and Heat Transfer which are Non-linear coupled in nature
are solved by employing a perturbation technique with the slope of the wavy walls as
perturbation parameter the influence of Hall effects the radiation and Heat sources on the
flow and Heat Transfer characteristics has been studied graphically the average Nusselt
Number on the boundary walls are numerically evaluated for different values of β, and N.
Key words: Heat Transfer,Wavy channel,Radiation effect
NYM 041
SECOND LAW ANALYSIS OF MHD FLOW OF IMMISCIBLE
MICROPOLAR FLUIDS IN A CHANNEL
J.V Ramana Murthy
J. Srinivas
Department of Mathematics
National Institute of Technology
Warangal 506 004, INDIA
jvrjosyula@yahoo.co.in
Department of Mathematics
National Institute of Technology
Warangal 506 004, INDIA
j.srinivasnit@gmail.com
Abstract: An analytical work has been taken up to study the First and Second Law (of
thermodynamics) characteristics of flow and heat transfer i.e., entropy generation due to the
flow of immiscible fluids and heat transfer inside a horizontal channel between two
parallel plates under the action of transverse magnetic field. The flow is assumed to be
steady, laminar, hydro-dynamically and thermally fully developed and electrically
conducting fluid. Both horizontal walls are maintained at constant temperatures. The flow is
assumed to be governed by Eringen's micropolar fluid flow equations. The flow region is
divided into two zones, the flow of the heavier fluid taking place in the lower zone-I. No
slip condition is taken on the plates and at the interface continuity of velocity, microrotation, temperature, heat flux and shear stresses is imposed. Governing equations are
simplified and solved analytically to develop expressions for velocity, micro-rotation,
temperature, entropy generation number (Ns), Bejan number (Be) and irreversibility
distribution ratio(). Velocity, temperature and entropy generation profiles are presented
graphically. The effects of parameters like micropolarity (cross viscosity), couplestress on
the velocity, micro-rotation, temperature are investigated. The derived equation for the
dimensionless entropy generation number is used to interpret the relative importance of
frictions to conduction by varying viscous dissipation parameter. It is observed that the
entropy generation near the plates increases more rapidly in fluid I than in fluid II as viscous
dissipation effects becomes more important in zone I.
NYM 042
CONVECTIVE HEAT TRANSFER FLOW OF A VISCOUS
ELECTRICALLY CONDUCTING FLUID IN A VERTICALLY
WAVY CHANNEL WITH HALL EFFECTS
48
S.T.Dinesh Kumar
Dr.P.Raveendra Nath
N.B.V.Rama Deva Prasad
Assistant professor
Department of Mathematics,
Govt. Science College,
Chitradurgam, Karnataka
Lecturer in Mathematics
Sri Krishnadevaraya University College of
Engineering and Technology
S.K. University, Anantapur - 515 003
Lecturer in Mathematics Balaji
P.G.College Anantapur
Abstract: We make an attempt to investigate the Convective Heat transfer flow of a viscous
electrically conducting fluid in a vertical wavy channel. A non-linear in nature. By taking
into the account hall effect, i
as a perturbation parameter the governing equations are solved by using Regular
are evaluated numerically for different set of parameters.
Keywords: Convectiveheattransfer, Wavy channel, Hall Effect
NYM 043
THERMAL
DIFFUSION,
CHEMICAL
REACTION
AND
RADIATION EFFECTS ON UNSTEADY MHD FREE CONVECTION
FLOW PAST AN EXPONENTIALLY ACCELERATED VERTICAL
PLATE
T.Sudhakar Reddy
M.C.Raju
S.V.K.Varma
Department of Mathematics
Department of Mathematics
Department of
Annamacharya Institute of
Sri Venkateswara University Tirupati517502
Mathematics,
Technology and Sciences Rajampet
svijayakumarvarma@yahoo.co.in
(Autonomous), Rajampet Kadapa
Global college of
Engineering, Kadapa A.P mcrmaths@yahoo.co.in
India 516101.
Email:
tsreddy939@gmail.com
Abstract: This paper is concerned with the study of an unsteady, MHD free convective
boundary layer flow of a viscous, incompressible and electrically conducting, chemically
reacting fluid over an exponentially accelerated infinite vertical plate embedded in a porous
medium in presence of thermal diffusion, radiation and temperature dependent heat source
or sink. The fluid considered is a gray, absorbing/emitting radiation but non scattering
medium. The dimensionless governing equations for this investigation are solved
analytically using Laplace transform technique. Numerical evaluation of the analytical
results is performed and graphical results for velocity, temperature and concentration
profiles within the boundary layer are discussed. Also, the expressions for skin-friction,
Nusselt number and Sherwood number have been derived and discussed for variations in the
governing parameters.
Key words: MHD, Thermal radiation, Chemical reaction, Thermal diffusion, Heat
Source or Sink and Exponentially accelerated plate.
49
NYM 044
NON-DARCY FREE CONVECTION IN A POWER-LAW FLUID IN
THE PRESENCE OF MAGNETIC FIELD AND STRATIFICATION
WITH SORET AND DUFOUR EFFECTS
Dr.J.Pranitha
Dr.D.Srinivasacharya
Department of Mathematics
NIT Warangal-506004
Department of Mathematics
NIT Warangal-506004
Abstract: In this paper we have studied the effects of Soret and Dufour on free convection
heat and mass transfer along a vertical plate embedded in a doubly stratified power-law
fluid saturated non-Darcy porous medium in the presence of magnetic field is considered.
The governing partial differential equations are transformed into ordinary differential
equations using similarity transformations and a local similarity solution is obtained
numerically. A parametric study of the physical parameters involved in the problem is
conducted and a representative set of numerical results is illustrated graphically.
NYM 045
UNSTEADY MIXED CONVECTIVE FLOW AND HEAT TRANSFER
IN A VERTICAL CORRUGATED CHANNEL WITH TRAVELING
THERMAL WAVES FOR COMPOSITE POROUS MEDIA
J.C. Umavathi
M. Shekar
Department of Mathematics
Gulbarga University, Gulbarga, Karnataka – 585106
jc_uma11@yahoo.com
Department of Mathematics
Gulbarga University, Gulbarga, Karnataka – 585106
shekarm872@gmail.com
Abstract: In this paper we discuss the unsteady mixed convection flow and heat transfer in a
vertical corrugated channel containing porous and fluid layer. The flow is generated by the
periodic thermal waves prescribed at the wavy walls of the channel. The equations of
momentum and energy are solved subject to a set of appropriate boundary and interface
conditions by assuming that the solution consists of a mean part and a perturbed part. The
exact solutions are obtained for the mean part and perturbed part is solved using long wave
approximation. Separate solutions are matched at the interface using suitable matching
conditions. The effects of pertinent parameters such as Grashof number, viscosity ratio,
width ratio, conductivity ratio, frequency parameter and traveling thermal temperature are
plotted for different values. It is observed that Grashof number, width ratio promotes the
velocity parallel to the flow direction and reversal effect is observed on the velocity
perpendicular to the flow direction. The viscosity ratio, conductivity ratio and porous
parameter suppress the velocity parallel to the flow direction and promote the velocity
perpendicular to the flow direction.
50
NYM 046
MIXED CONVECTION FLOW OF CHEMICALLY REACTING
COUPLE STRESS FLUID IN AN ANNULUS WITH SORET AND
DUFOUR EFFECTS
D. Srinivasacharya
K. Kaladhar
Department of Mathematics
National Institute of Technology
Warangal 506 004, INDIA
Department of Mathematics
National Institute of Technology
Warangal 506 004, INDIA
Abstract: A steady mixed convection flow of couple stress fluid in circular annulus is
studied. First order chemical reaction, Soret and Dufour effects are taken into consideration.
The governing partial differential equations are transformed into a system of ordinary
differential equations and solved by Homotopy Analysis Method (HAM). The effects of
Soret number, Dufour number, chemical reaction parameter and couple stress parameter on
the dimensionless velocity, temperature and concentration are analyzed graphically
NYM 047
EFFECTS OF CHEMICAL REACTION ON UNSTEADY MHD
FLOW OVER A VERTICAL MOVING POROUS PLATE WITH
VISCOUS DISSIPATION AND SORET EFFECT
G. S. S. Raju
N. V. R. V. Prasad
S. Venkataraman[
Department of Mathematics
J N T U A College of Engg.
Pulivendula
Department of Mathematics
S.V.G.S. Junior Colege, Nellore
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Abstract: The present work analyzes the influence of a first-order homogeneous chemical
reaction and thermal radiation on hydromagnetic free convection heat and mass transfer for
a viscous fluid past a semi-infinite vertical moving porous plate embedded in a porous
medium in the presence of thermal diffusion and heat generation. The fluid is considered to
be a gray, absorbing-emitting but non-scattering medium, and the Rosseland approximation
is used to describe the radiative heat flux in the energy equation. The plate moves with
constant velocity in the direction of fluid flow while the free stream velocity is assumed to
follow the exponentially increasing small perturbation law.
A uniform magnetic field acts perpendicular to the porous surface, which absorbs
the fluid with a suction velocity varying with time. The dimensionless governing equations
for this investigation are solved analytically using two-term harmonic and non-harmonic
functions. The effects of various parameters on the velocity, temperature and concentration
fields as well as the skin-friction coefficient, Nusselt number and the Sherwood number are
presented graphically and in tabulated forms.
Keywords : MHD, boundary layer, porous medium, heat and mass transfer, thermal
radiation, chemical reaction, thermal diffusion, heat generation.
NYM 048
AXI-SYMMETRIC MOTION OF A POROUS APPROXIMATE
SPHERE IN AN APPROXIMATE SPHERICAL CONTAINER
D. Srinivasacharya
M. Krishna Prasad
51
Department of Mathematics
National Institute of Technology
Warangal 506 004, INDIA
dsc@nitw.ac.in , dsrinivasacharya@yahoo.com
Department of Mathematics
National Institute of Technology
Warangal 506 004, INDIA
kpm973.nitw@gmail.com
Abstract: The creeping motion of a porous approximate sphere at the instant it passes the
center of an approximate spherical container with Ochoa-Tapia and Whitakar’s stress jump
boundary condition has been investigated analytically. The Brinkman’s model for the flow
inside the porous approximate sphere and the Stokes equation for the flow in an
approximate spherical container were used to study the motion. The stream function (and
thus the velocity) and pressure (both for the flow inside the porous approximate sphere and
inside an approximate spherical container) are calculated. The drag force experienced by the
porous approximate spherical particle and wall correction factor are determined in closed
forms. The special cases of porous sphere in a spherical container and oblate spheroid in an
oblate spheroidal container are obtained from the present analysis.
NYM 049
COMPUTATIONAL METHOD FOR SINGULARLY PERTURBED
SINGULAR BOUNDARY VALUE PROBLEM USING NON POLYNOMIAL SPLINE
K. Phaneendra
Y.N. Reddy
Department of Mathematics
National Institute of Technology
Warangal 506 004, INDIA
Department of Mathematics
National Institute of Technology
Warangal 506 004, INDIA
Abstract: In this paper, we present a numerical solution for a class of singularly perturbed
two-point singular boundary value problems on a uniform mesh by using non-polynomial
spline function. We develop the discretization equation for the problem using the condition
of continuity for the first order derivatives of the non polynomial spline at the interior nodes
which is not valid at the singularity. Hence, at the singularity zero, we modify the boundary
value problem and we get a three term relation by the method. Using it, we solve the
tridiagonal scheme obtained by the method using discrete invariant imbedding. We discuss
the convergence of the method and present maximum absolute errors for the standard
examples chosen from the literature to show the efficiency of the method.
NYM 050
SEXTIC B-SPLINE COLLOCATION METHOD FOR EIGHTH
ORDER BOUNDARY VALUE PROBLEMS
K.N.S.Kasi Viswanadham
Y.Showri Raju
Department of Mathematics
National Institute of Technology
Warangal – 506004 (INDIA)
Department of Mathematics
National Institute of Technology
Warangal – 506004 (INDIA)
52
E-mail: kasi_nitw@yahoo.co.in
E-mail: showri_y@rediffmail.com
Abstract:- A finite element method involving collocation method with sextic B-splines
as basis functions has been developed to solve eighth order boundary value problems.
The sixth order, seventh order and eighth order derivatives for the dependent variable
are approximated by the central differences of fifth order derivatives. The basis
functions are redefined into a new set of basis functions which in number match with
the number of selected collocated points in the space variable domain. The proposed
method is tested on several linear and non-linear boundary value problems. The
solution of a non-linear boundary value problem has been obtained as the limit of a
sequence of solutions of linear boundary value problems generated by
quasilinearization technique. Numerical results obtained by the present method are in
good agreement with the exact solutions available in the literature.
NYM 051
NON-SIMILARITY SOLUTIONS FOR FREE CONVECTION
FROM A VERTICAL SURFACES IN DOUBLY STRATIFIED
POROUS MEDIUM
D. Srinivasacharya
Surender Ontela
Department of Mathematics
National Institute of Technology
Warangal – 506004 ,INDIA
dsc@nitw.ac.in
Department of Mathematics
National Institute of Technology
Warangal – 506004 ,INDIA
dsrinivasacharya@yahoo.com
Abstract: In this paper, non-similarity solutions for free convection heat and mass
transfer along a vertical plate with uniform wall temperature and concentration in a
doubly stratified fluid saturated porous medium are obtained. The Darcy-Forchheimer
based model is employed to describe the flow in the porous medium. The nonlinear
governing equations and their associated boundary conditions are initially cast into
dimensionless forms by pseudo-similarity variables. The resulting system of partial
differential equations is then solved numerically using the Keller-box method. The
effects of thermal and solutal stratification parameters on the dimensionless velocity,
temperature and concentration are presented graphically. The effect of thermal and
solutal stratification parameters on heat and mass transfer coefficients respectively, and
the effect of Forchheimer number on dimensionless temperature and concentrations are
also discussed.
NYM 052
CHEMICAL REACTION AND RADIATION EFFECTS ON
MIXED CONVECTION IN POWER-LAW FLUID SATURATED
POROUS MEDIUM
D.Srinivasacharya
G.Swamy Reddy
Department of Mathematics
National Institute of Technology
Warangal-506004, India
Department of Mathematics
National Institute of Technology
Warangal-506004, India
53
Abstract: Mixed convection heat and mass transfer from a vertical plate embedded in a
power-law fluid saturated Darcy porous medium with Chemical reaction and Radiation
effects is studied. The governing partial differential equations are transformed into
ordinary differential equations using similarity transformations and then solved
numerically using Shooting method. The non- dimensional velocity, temperature and
concentration are presented graphically for various values of power-law index,
chemical reaction and radiation parameters. In addition, the rate of heat and mass
transfer on the plate are shown in a tabular form for various values of power-law index,
chemical reaction and radiation parameters.
NYM 053
EFFECT OF DOUBLE STRATIFICATION ON MHD FREE
CONVECTION IN A MICROPOLAR FLUID
D. Srinivasacharya
Upendar Mendu
Department of Mathematics
National Institute of Technology
Warangal-506004, India
Department of Mathematics
National Institute of Technology
Warangal-506004, India
Abstract: This paper analyzes the flow and heat and mass transfer characteristics of the
free convection on a vertical plate with variable wall temperature and concentration in a
doubly stratified micropolar fluid. A uniform magnetic field of magnitude B0 is applied
normal to the plate. The governing nonlinear partial differential equations are
transformed into a system of coupled nonlinear ordinary differential equations using
similarity transformations and then solved numerically using the Keller-box method.
The numerical results are compared and found to be in good agreement with previously
published results as special cases of the present investigation. The non-dimensional
velocity, microrotation, temperature and concentration are presented graphically for
various values of magnetic parameter, coupling number, thermal and solutal
stratification parameters. In addition, the rate of heat transfer and the ratio of
convective to diffusive mass transport on the plate, the skin friction coefficient and the
wall couple stress are shown in a tabular form for various values of magnetic
parameter, coupling number, thermal and solutal stratification parameters, Prandtl
number and Schmidt number.
54
NYM 054
RADIATION AND MASS TRANSFER EFFECTS ON A FREE
CONVECTION FLOW THROUGH A POROUS MEDIUM
BOUNDED BY A VERTICAL SURFACE
P.Chandra Reddy
M.C.Raju
S.V.K.Varma
G.S.S.Raju
Dept. of Mathematics
NIST, Rajampet -516115
chandrramsc01@gmail.com
Department of Mathematics
Annamacharya Institute of Tech.
and Sciences, (Autonomous),
Rajampet Kadapa -516126.
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Department of Mathematics
JNTUA College of
Engineering pulivendula
Pulivendula, A.P, India
rajugss@yahoo.com
mcrmaths@yahoo.co.i
n
svijayakumarvarma@
yahoo.co.in
Abstract: In this paper the effects of radiation on a free convection flow bounded by a
vertical surface embedded in porous medium is studied. The problem is solved
analytically and the expressions for velocity, temperature, concentration, skin friction
and rate of heat and mass transfer are derived and the effects of various physical
parameters like radiation parameter F, Grashof number Gr, modified Grashof number
Gm, Prandtl number Pr, permeability of the porous medium k are studied though graphs
and tables.
Key words: Mass transfer, Radiation, Porous medium and vertical surface.
NYM 055
THERMAL RADIATION EFFECT ON UNSTEADY MHD FREE
CONVECTION
FLOW
PAST
AN
EXPONENTIALLY
ACCELERATED VERTICAL PLATE THROUGH POROUS
MEDIUM WITH HEAT ABSORPTION
S.Harinath Reddy
M.C.Raju
T.Sudhakar Reddy
S.V.K.Varma
Department of Mathematics
NIST,Rajampet -516115
chandrramsc01@gmail.com
Department of Mathematics
Annamacharya Institute Tech.
and Sciences (Autonomous),
Rajampet Kadapa -516126.
Department
of
Mathematics,
Global college of
Engineering,
Kadapa A.P, India
516101.
Email:
tsreddy939@gmail.c
om
Department of Mathematics
Sri Venkateswara University
Tirupati517502
mcrmaths@yahoo.c
o.in
svijayakumarvarma@yahoo.co.in
Abstract: An unsteady, MHD free convective boundary layer flow of an incompressible
and electrically conducting fluid along an exponentially accelerated infinite vertical
plate embedded in the porous medium in presence of thermal radiation and temperature
dependent heat source or sink is analyzed. Here the fluid considered is a gray,
absorbing/emitting radiation but non scattering medium. The dimensionless governing
equations for this investigation are solved analytically using Laplace transform
technique. Numerical evaluation of the analytical results is performed and graphical
results for velocity, temperature and concentration profiles within the boundary layer
are discussed. Also, the expressions for skin-friction, Nusselt number and Sherwood
number have been derived and discussed for variations in the governing parameters.
Keywords: MHD, radiation, free convection flow, porous medium, and temperature
dependent heat absorption.
55
NYM 056
CHEMICAL REACTION AND RADIATION EFFECTS ON
UNSTEADY MHD PERIODIC FLOW OF A VISCOUS FLUID
THROUGH SATURATED POROUS MEDIUM IN A PLANER
CHANNEL
M.C.Raju
T.Sudhakar Reddy
S.V.K.Varma
Department of Mathematics
Annamacharya Institute of Technology
and SciencesRajampet (Autonomous),
Rajampet Kadapa -516126.
mcrmaths@yahoo.co.in
Department of Mathematics,
Global college of Engineering, Kadapa
A.P, India 516101.
Email: tsreddy939@gmail.com
Department of Mathematics
Sri Venkateswara University
Tirupati517502
svijayakumarvarma@yahoo.co.in
Abstract: In this paper the effect of slip condition, chemical reaction, radiation and
unsteady MHD periodic flow of a viscous, incompressible, electrically conducting
fluid through a porous medium in the presence of transverse applied magnetic field is
discussed in detail considering in two cases viz. Case–I: Uniform plate Temperature
and Uniform Concentration and Case–II: Constant heat and mass flux.. The governing
equations describing the flow have been solved by perturbation technique and the
solutions for velocity, temperature and concentration are obtained. The skin friction and
rate of heat transfer and mass transfer are also derived. The effects of various physical
parameters like magnetic parameter M, Reynolds number Re, Grash of number Gr,
modified Grashof number Gm, permeability parameter k, chemical reaction parameter
kc, and Schmidt number SC are analysed though graphs.
Key words: MHD, Chemical reaction, Radiation, Periodic flow, Planer channel and
Slip flow regime.
NYM 057
THE EFFECT OF SLIP CONDITION, RADIATION AND
CHEMICAL REACTION ON UNSTEADY MHD PERIODIC
FLOW OF A VISCOUS FLUID THROUGH SATURATED
POROUS MEDIUM IN A PLANER CHANNEL
N.Ananda Reddy, M.C.Raju
T.Sudhakar Reddy
S.V.K.Varma
Department of Mathematics
Annamacharya Institute of Tech. and Sci.
Rajampet (Autonomous), Rajampet
Kadapa -516126.
Department of
Mathematics, Global
college of Engineering,
Kadapa A.P, India
516101. Email:
tsreddy939@gmail.com
Department of Mathematics
Sri Venkateswara University Tirupati517502
mcrmaths@yahoo.co.in
svijayakumarvarma@yahoo.co
.in
Abstract: In this paper the effect of slip condition, Chemical reaction, radiation and
unsteady periodic flow of a viscous incompressible fluid through a porous medium in
the presence of magnetic field .the governing equations have been solved by
perturbation technique. The solution of the problem is solved analytically and the
expressions for velocity, temperature, concentration, skin friction and rate of heat and
mass transfer are derived and the effects of various physical parameters like Hartmann
number M, Reynolds number Re,, Grashoff number Gr, modified Grashoff number Gm,
permeability parameter k , the chemical reaction parameter kc, and Schmidt number
are studied though graphs.
56
Key words: Chemical reaction, MHD, Radiation, Porous medium and Heat and Mass
transfer.
NYM 058
MHD FREE CONVECTIVE, DIFFUSIVE AND CHEMICALLY
REACTIVE FLOW THROUGH POROUS MEDIUM BOUNDED
BY TWO VERTICAL PLATES
V. Ravikumar, M.C.Raju
G.S.S.Raju
S.V.K.Varma
Department of Mathematics
Annamacharya Institute of Technology and
SciencesRajampet (Autonomous),
Rajampet Kadapa -516126.
Department of Mathematics
JNTUA College of Engineering
pulivendula Pulivendula, A.P, India
rajugss@yahoo.com
Department of Mathematics
Sri Venkateswara University
Tirupati517502
mcrmaths@yahoo.co.in
svijayakumarvarma@yah
oo.co.in
Abstract: In this paper a two dimensional steady free convective and mass transfer flow
of an electrically conducting, viscous fluid through a porous medium bounded by two
stationary infinite vertical porous plates in presence of thermo diffusion and chemical
effect has been studied. A uniform magnetic field is assumed to be applied transversely
to the direction of the flow. The plates are subjected to a constant normal
suction/injection velocity. The governing equations are solved by regular perturbation
technique. The expressions for the velocity field, temperature field, species
concentration, skin friction and the coefficient of heat transfer (in terms of Nusselt
number) at the walls are obtained and their numerical values are demonstrated in
graphs. The effects of Hartmann number M, the Reynolds number Re, Schmidt number
Sc and permeability parameter k on the flow and mass transfer are discussed
Keywords: MHD, thermo diffusion, chemical reaction, skin friction, Nusselt number,
suction and injection.
NYM 059
MHD FREE CONVECTION HEAT AND MASS TRANSFER
FLOW PAST A POROUS VERTICAL PLATE THROUGH NONHOMOGENEOUS POROUS MEDIUM WITH RADIATION AND
TEMPERATURE GRADIENT DEPENDENT HEAT SOURCE IN
SLIP FLOW REGIME IN PRESENCE OF CHEMICAL
REACTION
B. Madhusudhana Rao
Department of Mathematics
R.M.K. Engineering College
Chennai
bmrao14@gmail.com
G.Viswanath Reddy, S.V.K.Varma
Department of Mathematics
Sri Venkateswara University Tirupati517502
svijayakumarvarma@yahoo.co.in
M.C.Raju
Department of Mathematics
Annamacharya Institute of Tech.
and Sciences, Rajampet
(Autonomous), Rajampet Kadapa
Abstract: The present paper deals with the analysis of unsteady free convection heat
and mass transfer flow through a porous medium with variable permeability bounded
by an infinite porous vertical plate in slip flow regime taking into account the radiation,
chemical reaction and temperature gradient dependent heat source. The flow is
considered under the influence of magnetic field applied normal to the flow. The
permeability of the porous medium and the suction velocity at the plate decrease
exponentially with time about a constant mean. Approximate solutions for velocity ,
temperature and concentration fields are obtained using perturbation technique. The
expressions for skin-friction and rate of heat transfer and rate of mass transfer are also
derived. The results obtained are discussed for cooling case (Gr>0) of the plate. The
effects of various physical parameters, encountered into the problem, on the velocity
field are numerically shown through graphs while the effects on skin-friction and rate
of heat and mass transfer are numerically discussed through tables.
57
Key words: MHD, Free convection, heat and Mass transfer radiation and chemical
reaction.
NYM 060
EFFECTS OF VELOCITY – SLIP AND VISCOSITY VARIATION
IN SQUEEZE FILM LUBRICATION OF HYDROSTATIC STEP –
SEAL
R. Raghavendra Rao, K. Gouthami
Prof. K Ramakrishna Prasad
Department of Mathematics ; Freshman Engineering
Department ; K L University; Green Fields
Vaddeswaram – 522502; Guntur District
rrrsvu@sify.com ; kgouthami@kluniversity.in
Vice –Principal, S. V. U .College of Sciences
Tirupathi - 517502, INDIA.
Abstract: A generalized form of Reynolds equation for two symmetrical surfaces is
taken by considering slip at the bearing surfaces. This equation is applied and studied
the effects of velocity – slip and viscosity variation in squeeze film lubrication of
hydrostatic step – seal . Expressions for pressure, load capacity are obtained. Also
evaluated numerically and various graphs have been plotted. The load capacity
decreases due to slip. They increase due to presence of high viscous layer near the
surface and decrease due to low viscous layer.
Key words :Reynolds Equation, velocity - slip , viscosity variation, squeeze film
lubrication, load capacity.
NYM 061
CHARACTERIZATION OF LUBRICATION OF ASYMMETRIC
ROLLERS INCLUDING THERMAL EFFECTS
S.V. Subrahmanyam
Asst. Professor
K L University, Vaddeswaram-522502
Guntur dist, India, subrahmanyam@kluniversity
Dr. S.R.K. Dhaneshwar Prasad
Associate Professor, Govt. Arts College
Yanam-533464, India.
Mobile No. 09440476396 rpdhaneshwar@gmail.com
Abstract: The present paper deals with qualitative analysis of hydrodynamic lubrication
of asymmetric rollers under adiabatic condition with non-Newtonian incompressible
power law lubricants including Newtonian as well. It is theoretically discussed for
heavily loaded rigid system with cavitations; where the consistency of the power law
lubricant is assumed to vary with the mean film temperature. The fluid flow governing
equations such as the equation of motion along with continuity and thermal equation
are solved first analytically and then investigated numerically by Runge-Kutta Fehlberg
method. Some graphs are presented in order to discuss how various bearing
characteristics are varying. As a result of this work, it is found that there is a
significant difference in temperature, pressure, load and traction with Newtonian and
non-Newtonian fluids.
Keywords: Hydrodynamic Lubrication, Non-Newtonian, Incompressible, Power law,
Thermal effects.
58
59
NYM 062
DOUBLE DISPERSION EFFECTS ON VISCOELASTIC FLUID
FLOW OVER A VERTICAL PLATE SATURATED WITH NONDARCY POROUS MEDIUM
R. Sivaraj
B. Rushi Kumar
Fluid Dynamics Division, School of Advanced Sciences, VIT
University, Vellore, India 632014
Email: sivaraj.kpm@gmail.com
Fluid Dynamics Division, School of Advanced
Sciences, VIT University, Vellore, India 632014
Email: rushikumar@vit.ac.in
Abstract: The present paper is concerned with the study of flow, heat and transfer
characteristics in the unsteady, free convective, chemically reacting flow of an
incompressible viscoelastic fluid (Walters liquid-B model) flow over a vertical flat
plate saturated with non-Darcy porous medium in the presence of transversely applied
magnetic field, double dispersion effects, Soret and Dufour effects. The constitutive
equations for the boundary layer regime are solved by an efficient finite difference
scheme of the Crank-Nicolson type. The features of the fluid heat and mass transfer
characteristics are analyzed by plotting graphs and the physical aspects are discussed in
detail to interpret the effect of significant parameters of the problem. The overall heat
and mass transfer profiles are enhanced for increasing the thermal and solutal
dispersion effects, respectively. The results indicate that the Soret and Dufour effects
have considerable effect on the viscoelastic fluid flow through non-Darcy porous
medium.
NYM 063
SORET AND DUFOUR EFFECTS ON MHD FREE
CONVECTION FLOW OF HEAT AND MASS TRANSFER OVER
A STRETCHING SHEET IN A POROUS MEDIUM WITH HEAT
SOURE/SINK
[[
B.Nagabhusanam Reddy
S.V.K.Varma
B.Rushi kumar
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Department of Mathematics
Sri Venkateswara University Tirupati517502
svijayakumarvarma@yahoo.co.in
Fluid Dynamics Division,
School of Advanced Sciences,
VIT University Vellore, India
rushikumar@vit.ac.in
Abstract: A mathematical model is presented for a two-dimensional, steady, viscous,
incompressible, electrically conducting and laminar MHD free convection flow with
soret and dufour effects in the presence of porous medium and heat
generation/absorption. The governing differential equations of the problem have been
transformed into a system of non- dimensional differential equations, which are then
solved numerically using a forth-order Runge-Kutta method along with shooting
technique. The velocity and temperature distributions are discussed numerically and
presented through graphs. The numerical values of skin-friction coefficient and Nusselt
number at the plate are derived, discussed numerically for various values of physical
parameters and presented through Tables. The numerical results are benchmarked with
the earlier studies and found to be in excellent agreement.
60
NYM 064
RADIATION AND VISCOUS DISSIPATION EFFECTS ON MHD
BOUNDARY LAYER FLOW FOR THE BLASIUS AND
SAKIADIS FLOWS WITH A CONVECTIVE SURFACE
BOUNDARY CONDITION
B.Rushi Kumar
R.Jayakar
Fluid Dynamics Division, School of Advanced Sciences,
VIT University Vellore, India
rushikumar@vit.ac.in
Fluid Dynamics Division,
School of Advanced Sciences, VIT University, Vellore,
India 632014 Email: jayakar.r2012@vit.ac.in
Abstract: This study is devoted to investigate the radiation, viscous dissipation and
magneto hydrodynamic effects on the laminar boundary layer about a flat-plate in a
uniform stream of fluid (Blasius flow), and about a moving plate in a quiescent ambient
fluid (Sakiadis flow) both under a convective surface boundary condition. Using a
similarity variable, the governing nonlinear partial differential equations have been
transformed into a set of coupled nonlinear ordinary differential equations, which are
solved numerically by using shooting technique along side with the forth order of
Runge-Kutta method and the variations of dimensionless surface temperature and fluidsolid interface characteristics for different values of Magnetic field parameter M,
Grashof number Gr, Prandtl number Pr, radiation parameter NR, parameter  and the
Eckert number Ec, which characterizes our convection processes are graphed and
tabulated. Quite different and interesting behaviors were encountered for Blasius flow
compared with a Sakiadis flow. A comparison with previously published results on
special cases of the problem shows excellent agreement.
NYM 065
MHD BOUNDARY LAYER FLOW ON HEAT AND MASS
TRANSFER OVER A STRETCHING SHEET WITH SLIP
EFFECT
R.Jayakar
B.Rushi kumar
Fluid Dynamics Division, School of Advanced Sciences, VIT
University, Vellore, India 632014
Email: jayakar.r2012@vit.ac.in
Fluid Dynamics Division, School of Advanced
Sciences, VIT University Vellore, India
rushikumar@vit.ac.in
Abstract: The present paper is to investigate the effect of linear thermal stratification in
stable stationary ambient fluid on steady MHD convective flow of a viscous
incompressible electrically conducting fluid along a Stretching sheet in the presence of
mass transfer and Magnetic effect. The governing equations of continuity, momentum
and energy are transformed into ordinary differential equations using local similarity
transformation. The resulting coupled non-linear ordinary differential equations are
solved using Runge-Kutta fourth order method along with shooting technique. The
velocity and temperature distributions are discussed numerically and presented through
graphs. The numerical values of skin-friction coefficient and Nusselt number at the
plate are derived, discussed numerically for various values of physical parameters and
presented through Tables.
61
NYM 066
DISPERSION IN A HORIZONTAL CHANNEL CONTAINING
ELECTRICALLY
CONDUCTING
AND
VISCOUS
IMMISCIBLEFLUIDS WITH AND WITHOUT CHEMICAL
REACTIONS
Dr. J. Prathap Kumar
Professor, Department of Mathematics, Gulbarga University
Gulbarga – 585 106, KARNATAKA
Abstract: A generalized theory for the investigation of the dispersion of soluble matters
between two parallel plates has been presented here. The channel is filled with
electrically-conducting and electrically non-conducting immiscible fluids. The transport
properties of both the fluids are assumed constant. The flow is accompanied by an
irreversible first-order chemical reaction. The effect of both homogeneous and
heterogeneous reactions under isothermal conditions is discussed. The results are drawn
for various values of viscosity ratio and Hartman number for both open and short
circuits on the effective Taylor dispersion coefficient and volumetric flow rate. The
effective Taylor dispersion coefficient decreases as Hartman number increases for open
and short circuit in the absence and in the presence of chemical reactions. As the
limiting cases we can deduce the results of Gupta and Gupta (1972) and hence we can
deduce the results obtained by Wooding (1960).
NYM 067
FINITE ELEMENT SOLUTION OF FLOW AND HEAT
TRANSFER IN A CIRCULAR DUCT BOUNDED BY A POROUS
BED
G. Sreedhara Rao
S.V.K.Varma
Department of Mathematics & Statistics
the University of the West Indies
Trinidad.
Department of Mathematics
Sri Venkateswara University Tirupati517502
Abstract: The flow and heat transfer in a circular duct bounded by a porous bed is
analysed using Galerkin’s finite element method. Solutions of the governing equations
have been obtained by dividing the flow region into three zones. Flows in the free
channel (Zone-I) were modelled by Navier-Stokes equations and in the porous layer the
two layered Brinkman-Darcy ( Zone-II & III) configuration used by Hill and Straughan
was employed. In zone-I &II, the momentum and temperature equations are coupled.
The velocity, temperature, shear stress and the Nusselt number are evaluated using
finite element method and their behaviour is discussed for various governing
parameters.
Keywords: Heat transfer, Permeable bed, Quadratic elements, Global matrix, Darcy
parameter, Brinkman number
62
NYM 068
HEAT TRANSFER IN IMMISCIBLE FLUIDS THROUGH A
CHANNEL
WITH
POROUS
BEDS
BOUNDED
BY
DIFFERENTIALLY HEATED PLATES USING GALERKIN’S
FINITE ELEMENT METHOD
G. Sreedhara Rao
S.Sreenadh
Department of Mathematics & Statistics
the University of the West Indies, Trinidad.
Department of Mathematics
Sri Venkateswara University Tirupati517502
Abstract: We analyze the heat transfer in the flow of two viscous incompressible,
immiscible fluids in a channel with porous beds bounded by differentially heated rigid
plates by using Galerkin’ s finite element method. The flow in the lower permeable bed
is assumed the two-layered Brinkman-Darcy configuration used by Hill and Straughan
was employed, whereas the flow in the upper permeable bed is modeled by Brinkman
equation. Solutions of the governing equations have been obtained by dividing the flow
region into five zones applying appropriate matching conditions. The velocity,
temperature and the shear stresses, Nusselt numbers are evaluated using finite element
analysis and their behavior is discussed for variations in the governing parameters.
Keywords: Convection flow, Heat transfer, Permeable bed, Quadratic elements, Global
matrix, Darcy parameter, Brinkman number
NYM 069
EFFECT OF MAGNETIC FIELD ON PERISTALTIC
TRANSPORT OF A WILLIAMSON FLUID IN A VERTICAL
ASYMMETRIC CHANNEL
M. Suryanarayana Reddy
G.S.S.Raju
Department of Mathematics
J N T U A College of Engineering,
Pulivendula-516 390, Y.S.R. (Dist), A.P, India.
E-mail: machireddysnr@yahoo.com
Department of Mathematics
J N T U A College of Engineering, Pulivendula516 390
Y.S.R. (Dist), A.P, India.
Abstract: In this paper, we studied the effect of magnetic field on Peristaltic transport
of a Williamson fluid in a vertical asymmetric channel under the assumption of long
wavelength. A regular perturbation expansion method is used to obtain the analytical
solution of the nonlinear problem when Weissenberg number is small. The expressions
for axial velocity, pressure gradient and pressure rise have been computed. The effects
of various emerging parameters on the pumping characteristics are discussed through
graphs in detail.
Keywords: Peristaltic transport, Williamson fluid, Weissenberg number, Hartmann
number, Froude number, vertical asymmetric channel
63
NYM 070
RADIATION EFFECTS ON MHD FLOW OVER A VERTICAL
MOVING POROUS PLATE WITH HEAT GENERATION BY
CONSIDERING DOUBLE DIFFUSIVE CONVECTION
Seethamahalakshmi
G.V.Ramana Reddy [
B.D.C.N. Prasad
P.V.P. Siddhartha Institute of Technology,
Kanuru, Vijayawada (A.P).
seethamahalakshmi21@yahoomail.com
K. L. University, Green Fields,
Vaddeswaram, Guntur(Dt), (A.P).
P.V.P. Siddhartha Institute of
Technology, Kanuru, Vijayawada
(A.P).
Abstract: The influence of a first-order homogeneous chemical reaction and thermal
radiation on hydromagnetic free convection heat and mass transfer for a viscous fluid
past a semi-infinite vertical moving porous plate embedded in a porous medium in the
presence of thermal diffusion and heat generation is studied in this paper. The
dimensionless governing equations for this investigation are solved analytically using
two-term harmonic and non-harmonic functions. The behavior of the velocity,
temperature, concentration, skin-friction coefficient, Nusselt number and Sherwood
number for variations in the governing thermo physical parameters are computed,
analyzed and discussed qualitatively.
NYM 071
CHEMICAL REACTION AND RADIATION ON AN UNSTEADY
MHD FREE CONVECTIVE FLOW AND MASS TRANSFER
THROUGH A VISCOUS INCOMPRESSIBLE FLUID PAST AN
INFINITE VERTICAL HEATED POROUS PLATE
Dr K. Jayarami Reddy
Dr M. Suryanarayana Reddy
R. Chandrasekhar Reddy
Professor and HOD,
Dept. of Mathematics,
Priyadarsini Institute of Technology
Tirupati, Chittoor Dist.
Assistant Professor in Mathematics,
JNTU College of Pulivendula-516 390
Assistant Professor in Mathematics,
Priyadarsini Institute of Technology
Tirupati, Chittoor Dist
Abstract: In this paper, unsteady magnetohydrodynamic free convective flow and mass
transfer through viscous incompressible fluid past a heated vertical porous plate
immersed in porous medium in the presence of heat source and chemical reaction of the
uniform transverse magnetic field, oscillating free stream and heat source when viscous
dissipation effect is also taken into account. The velocity, temperature and
concentration distributions are derived, discussed numerically and their profiles for
various values of physical parameters are shown through graphs. The coefficient of
skin-friction, Nusselt number and Sherwood number at the plate are derived, discussed
numerically and their numerical values for various values of physical parameters are
presented through graphically.
Keywords: Unsteady, MHD, chemical reaction, mass transfer, porous medium, and heat
source.
64
NYM 072
CONVECTIVE HEAT AND MASS TRANSFER FLOW OF
VISCOUS FLUID THROUGH A POROUS MEDIUM IN A
TRIANGULAR DUCT WITH CHEMICAL REACTION AND
THERMO DIFFUSION
T.Siva Nageswara Rao
Dr S.Sivaiah
Vignan’s Institute of Technology & Aeronautical Engineering,
Nalgonda, shivathottempudi@gmail.com
Mallareddy PG College, Hyderabad
Siva1339@yahoo.com
Abstract: In this analysis we investigate the effect of chemical reaction and thermo
diffusion on convective heat and mass transfer flow of a viscous fluid through a porous
medium confined in a triangular duct in the presence of heat sources. The governing
equations of momentum, heat and mass transfer are solved by employing Galerkin
finite element analysis with bilinear approximation functions. The effect of chemical
reaction and thermo diffusion on all flow characteristics has been discussed.
Key Words: Heat and Mass transfer, porous medium, heat source, chemical reaction,
rectangular duct, sorret effect
NYM 073
MHD FREE CONVECTIVE AND RADIATIVE FLOW PAST A
SEMI INFINITE VERTICAL PLATE
M.Umamaheswar
S.V.K.Varma
M.C.Raju
Department of Mathematics
SSN Engg.College, Ongole
umamaheshkrishnaveni@gmail.com
Department of Mathematics
Sri Venkateswara University
Tirupati517502
svijayakumarvarma@yahoo.co.in
Department of Mathematics AITS
(Autonomous) Rajampet Kadapa
mcrmaths@yahoo.co.in
Abstract: In this paper MHD free convection flow past semi-infinite vertical plate in
the presence chemical species concentration and thermal radiation effects is studied.
The governing boundary layer equations for this problem are reduced to a non-similar
form and are solved numerically by an implicit finite difference technique.
Representative velocity, temperature and concentration profiles are shown graphically
and the numerical values of the wall slopes of the velocity, temperature and
concentration profiles are also shown graphically. The effect of the radiation parameter,
buoyancy radio, magnetic parameter, Schmidt number and the dimensionless distance
from the leading edge of the plate on the numerical solutions are presented and
discussed.
Key words: MHD, Free convection, Radiation and Vertical plate.
65
NYM 074
HEAT AND MASS TRANSFER EFFECTS ON LINEARLY
ACCELERATED ISOTHERMAL VERTICAL PLATE WITH
VARIABLE TEMPERATURE AND MASS DIFFUSION IN THE
PRESENCE OF THERMAL RADIATION
S.K.Karunakar Reddy,
A.G. Vijaya kumar
S.V.K.Varma
Department of Mathematics,
Sree Vidyanikethan Engineering College
Tirupati, A.P, INDIA
agvijaykumar1729@gmail.com
Research Scholar,
JNTU University, Hyderabad
Department of Mathematics
Sri Venkateswara University
Tirupati517502
svijayakumarvarma@yahoo.co.in
Abstract:-Heat and mass transfer effects on unsteady free convection flow past a
linearly accelerated isothermal vertical plate with variable temperature and mass
diffusion in the presence of thermal radiation have been studied. The fluid considered
here is gray, absorbing/emitting radiation but a non-scattering medium. At time t   0,
the plate is accelerated with a velocity
u  u0t .
And at the same time, the plate
temperature is raised linearly with time t and also the mass is diffused from the plate
linearly with respect to time. The dimensionless governing equations are tackled by the
Laplace transform method. The velocity, temperature, concentration, the rate of heat
transfer and the rate of mass transfer are studied for different physical parameters like
thermal Grashof number (Gr), mass Grashof number (Gm), Schmidt number (Sc),
Prandtl number (Pr), radiation parameter (R) and time (t) graphically.
Keywords and phrases: heat and mass transfer, accelerated, isothermal, vertical plate,
thermal radiation.
NYM 075
THE EFFECTS OF HEAT SOURCE AND RADIATION ON
UNSTEADY MHD FREE CONVECTIVE FLUID FLOW
EMBEDDED IN A POROUS MEDIUM WITH TIMEDEPENDENT SUCTION WITH TEMPERATURE GRADIENT
HEAT SOURCE
B. Seshaiah
A.G. Vijaya kumar
S.V.K.Varma
Department of Mathematics
S.V.University, Tirupati
Andhra Pradesh, INDIA.
seshu.maths@gmail.com
Department of Mathematics,
Sree Vidyanikethan Engineering College
Tirupati, A.P, INDIA
agvijaykumar1729@gmail.com
Department of Mathematics
Sri Venkateswara University
Tirupati517502
svijayakumarvarma@yahoo.co.in
Abstract: An investigation is carried out to study the Effects of Thermal radiation,
time-dependant suction and chemical reaction on two dimensional MHD free
convective boussinesq fluid flow over a semi-infinite vertical plate moving
exponentially with time in the presence of temperature gradient heat source under the
influence of applied transverse magnetic field normal to the flow has been studied. The
Problem is governed by the system of coupled partial differential equations, and
employing a Perturbation technique the solutions are obtained. And the effects of
various parameters on fluid Velocity, Temperature and Concentration have been
studied through graphs and Tables.
66
NYM 076
UNIFORMLY CONVERGENT METHOD FOR CONVECTION –
DIFFUSION PROBLEM
Sharath Babu
N. Srinivasacharyulu
Professor & HOD of H&S
Swarna Bharathi Institute of Science
And Technology , Khammam
Sharathsiddipet@gmail.com
Former Professor of Mathematics
National Institute of Technology
Warangal. Khammam-507002
nsc_nitw@yahoo.co.in
Abstract: In this Paper a study of uniformly convergent method developed by Il’in –
Allen- scheme was made. A necessary condition was contemplated for uniform
convergence in the specified domain. The scheme developed is uniformly convergent
for any choice of the diffusion parameter. The method provides a first- order uniformly
convergent method with discrete maximum norm. An analysis carried out to check the
validity of solution with respect to physical aspect and it was in agreement with the
analytical solution. The uniformly convergent method gives superior results than the
finite difference methods. The computed and plotted solutions of this method are in
good agreement with the exact solution.
Key words: perturbation parameter, Elliptic operator, Uniform convergence.
NYM 077
EFFECTS OF THERMAL DIFFUSION, CHEMICAL
REACTION AND RADIATION ABSORPTION ON MHD
FLOW OF DUSTY VISCO-ELASTIC (WALTER’S LIQUID
MODEL-B) FLUID IN PRESENCE OF HEAT SOURCE/SINK
M. Madhavi
A.G. Vijaya kumar
S.V.K.Varma
Assistant Professor,
Department of mathematics,
RVP Engineering College for Women,
Tadigotla, Kadapa, A.P, INDIA. Emai:
madhavi21769@gmail.com
Department of Mathematics,
Sree Vidyanikethan Engg. College
Tirupati, A.P, INDIA
agvijaykumar1729@gmail.com
Department of Mathematics
Sri Venkateswara University
Tirupati517502
svijayakumarvarma@yahoo.co.in
Abstract: This investigation is undertaken to study the effects of Thermal diffusion,
chemical reaction and radiation absorption on unsteady MHD heat and mass transfer
flow of a dusty viscous incompressible, electrically conducting fluid between two
vertical heated, porous, parallel plates in presence of heat source or sink under the
influence of transverse applied magnetic field. Initially, it is assumed that the channel,
walls as well as dusty fluid are assumed to be at the same temperature T0 and the mass
is assumed to be present at low level such that it is everywhere C 0 . At time t > 0, the
temperature of the walls and species concentration are raised to Tw and C w
respectively. It is also assumed that the dust particles are non-conducting, solid,
spherical, and equal in size, uniformly and symmetrically distributed in the flow field.
The governing equations are solved analytically using perturbation technique. Nondimensional velocity, temperature, concentration and skin-friction are discussed
through graphs for various physical parameters entering into the problem.
Key words: MHD, Thermal diffusion (Soret effect), Radiation absorption, Heat source,
Chemical reaction
67
NYM 078
THERMAL DIFFUSION AND RADIATION EFFECTS ON
UNSTEADY MHD FREE CONVECTION FLOW PAST AN
INCLINED PLATE WITH VARIABLE TEMPERATURE AND
MASS DIFFUSION IN THE PRESENCE OF HEAT
SOURCE/SINK
A.G. Vijaya Kumar
S.V.K.Varma
Department of Mathematics,
Sree Vidyanikethan Engineering College
Tirupati, A.P, INDIA
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Abstract:-An analytical study is performed is to investigate thermal diffusion and
radiation effects on unsteady MHD flow past an inclined plate with variable
temperature and mass diffusion in the presence of heat source or sink under the
influence of applied transverse magnetic field. The fluid considered here is a gray,
absorbing/ emitting radiation but a non-scattering medium. At time t>0, the plate is
exponentially accelerated with a velocity u  u 0 exp at  in its own plane. And at the
same time, the plate temperature and concentration levels near the plate raised linearly
with time t.
The dimensionless governing equations involved in the present analysis are
solved using the Laplace transform technique. The velocity, temperature, concentration,
the rate or heat transfer and the rate of mass transfer are studied through graphs and
tables in terms of different physical parameters like magnetic field parameter (M),
radiation parameter (R), heat source parameter (H), Schmidt parameter (Sc),
inclination parameter (  ), soret number (So), Prandtl number (Pr), thermal Grashof
number (Gr), mass Grashof number (Gm) and time (t).
Key Words: MHD, heat and mass transfer, thermal diffusion, exponentially,
Accelerated, inclined plate, radiation.
NYM 079
THE EFFECTS OF THERMAL VARIATION FOR SQUEEZING
FILM FOR POWER LAW LUBRICANTS FOR PARALLEL
PLATES AND SPHERICAL BEARINGS
Prof .K. Ramakrishna Prasad
P. Suneetha
Professor, Department of Mathematics
S.V.University , Tirupati, AP,INDIA
Prof.ramakrishnaprasad@gmail.com
Research Scholar, Department of Mathematics,
S.V.University, Tirupati, AP, INDIA
psuneetha3@gmail.com
Abstract: In this paper a generalized Reynolds equation for power law fluid is derived
considering thermal variation and various special cases have been obtained and it is
applied to study the squeeze film incase of squeezing between two surfaces
considering thermal variation and it is applied to study the squeeze films between
parallel plates and spherical bearing. A parameter q is introduced to see the effects
of thermal variation. It is shown that the effects of q is to decrease the load capacity
and squeezing time and these factors increase due to the power law fluid factor n.
68
NYM 080
THE EFFECTS COUPLE STRESSES IN FINITE JOURNAL
BEARING USING RAPID-NARANG TECHNIQUE
Prof .K. Ramakrishna Prasad
V.Bharath Kumar
Professor, Department of Mathematics
S.V.University , Tirupati, AP,INDIA
Prof.ramakrishnaprasad@gmail.com
Research Scholar, Department of Mathematics,
S.V.University , Tirupati, AP, INDIA
vedagiri.1986@gmail.com
Abstract: In this paper the effects of couple stresses in the lubrication of finite journal
bearing using Rapid-Narang Technique is studied . The case of long journal bearing
and short journal bearings are analyzed. These two are combined to get the results of
finite journal bearing using Rapid-Narang Technique. The effects of long chain
molecule on load capacity is studied numerically by plotting the graphs
NYM 081
HEAT SOURCE EFFECTS ON MHD FREE CONVECTION
FLOW PAST A VERTICAL PLATE WITH RAMPED WALL
TEMPERATURE THROUGH A POROUS MEDIUM
K. Jonah Philliph
V. Rajesh
S.V.K.Varma
Research Scholar
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Department of Engineering Mathematics,
GITAM University, Hyderabad-502329
(A.P), India. Email:
v.rajesh.30@gmail.com
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Abstract: An analytical study is performed to examine the effects of temperature
dependent heat source on the unsteady free convection flow of a viscous
incompressible electrically conducting fluid past an infinite vertical plate containing a
ramped type temperature profile with respect to time under the action of a uniform
magnetic field through porous medium. The temperature of the plate is raised or
t
lowered to T  Tw  T  when t   t0 , and thereafter, for t   t0 , the temperature of
t0
the plate is maintained at the constant temperature Tw . The exact solutions of the energy
and momentum equations, under the usual Boussinesq approximation have been
obtained in closed form by the Laplace transform technique. The influence of the
various parameters, entering into the problem, on the velocity field, temperature field,
Skin friction and Nusselt number is extensively discussed with the help of graphs.
Keywords: MHD, free convection, porous medium, heat source, ramped temperature,
Laplace transform technique.
69
NYM 082
THE EFFECTS OF THERMAL VARIATION FOR SQUEEZING
FILM FOR POWER LAW LUBRICANTS FOR JOURNAL
BEARING AND CIRCULARPARALLEL PLATES
Prof .K. Ramakrishna Prasad
M.EswaraRao
Professor, Department of Mathematics
S.V.University , Tirupati, AP,INDIA
Prof.ramakrishnaprasad@gmail.com
Research ScholarDepartment of Mathematics,S.V.University
Tirupati, AP, INDIA
mannerieswar99@gmail.com
Abstract: In this paper a generalized Reynolds equation for power law fluid is derived
considering thermal variation and various special cases have been obtained and it is
applied to study the squeeze film incase of squeezing between two surfaces
considering thermal variation and it is applied to study the squeeze films between
circular parallel plates and journal bearing. A parameter q is introduced to see the
effects of thermal variation. It is shown that the effects of q is to decrease the load
capacity and squeezing time and these factors increase due to the power law fluid
factor n.
NYM 083
THERMAL DIFFUSION EFFECT ON UNSTEADY MHD
CONVECTIVE FLOW BOUNDED BY A SEMI-INFINITE
VERTICAL PERMEABLE MOVING PLATE WITH HEAT
ABSORPTION, RADIATION AND CHEMICAL REACTION
K. Jonah Philliph
S.V.K.Varma
M.C.Raju
Research Scholar
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Department of Mathematics
AITS (AUTONOMOUS)
Rajampet Kadapa
Abstract: The problem of unsteady, two dimensional, laminar, boundary-layer flow of
a viscous, incompressible, electrically conducting radiative, chemically reacting and
heat-absorbing fluid along a semi-infinite permeable moving plate in the presence of a
uniform transverse magnetic field and thermal diffusion and concentration beoyancy
affects is considered. The plate is assumed to move with a constant velocity in the
direction of fluid flow while the free stream velocity is assumed to flow the
exponentially increasing small perturbation law. Time-dependent wall suction is
assumed to occur at permeable surface. The dimensionless governing equations for this
investigation are solved analytically using two-term hormonic and non-hormonic
function. Numerical evaluation of the analytical results is performed and some
graphical results for the velocity, temperature and concentration profiles within the
boundary layer and also the expressions for the skin-friction coefficient, Nusselt
number and the Sherwood number are presented and discussed.
Key words: Thermal diffusion, MHD, Porous medium, Radiation and chemical
reaction.
70
NYM 084
RADIATION AND CHEMICAL REACTION EFFECTS ON
UNSTEADY MHD FREE CONVECTIVE AND ROTATING
FLUID PAST AN IMPULSIVELY STARTED VERTICAL
POROUS PLATE
K.V.S.Raju
T.S.Reddy
S.Venkataramana
Deparrrtment of Mathematics
KORM College of Engineering
Kadapa.
Email:kvsrajuphd999@yahoo.co.in
Department of Mathematics, S.V.K.Varma
of Mathematics
Global
college
of Department
Sri Venkateswara University
Tirupati517502
Engineering,
Kadapa A.P India 516101.
tsreddy939@gmail.com
Abstract: This article is the study on the effects of radiation and chemical reaction on
unsteady free convection flow past an impulsively started vertical porous plate with
variable mass diffusion where the fluid and the plate are considered to be rotating in
presence of transversely applied magnetic field. The equations governing the flow are
solved by usual Laplace transform technique. The expressions for velocity, temperature
and concentration are obtained. With the aid of the expressions the quantities for skin
friction, rate of heat transfer and rate of mass transfer are also derived. The effects of
various physical parameters on the above quantities are studied through graphs and the
results are discussed.
Key words: MHD, Rotating fluid, Radiation, Chemical reaction, Porous medium and
impulsively started vertical plate.
NYM 085
RADIATION AND DIFFUSION-THERMO EFFECTS ON MHD
FLOW PAST AN INFINITE VERTICAL POROUS PLATE IN
THE PRESENCE OF A CHEMICAL REACTION
G. Venkata Ramana Reddy
Ch.V. Ramana Murthy
N. Bhaskar Reddy
Department of Mathematics,
KL University, Vaddeswaram, (India)
gvrr1976@gmail.com
LakiReddy BaliReddy College of
Engineering, Mylavaram, (India)
Department of Mathematics
S. V. University, Tirupati, (India)
Abstract: The objective of the present paper is study to investigate the effect of flow
parameters on the free convection and mass transfer of an unsteady
magnetohydrodynamic flow of an electrically conducting, viscous, and incompressible
fluid past an infinite vertical porous plate under oscillatory suction velocity and thermal
radiation. The Dufour (diffusion thermo) and Chemical reaction effects are taken into
account. The problem is solved numerically using the perturbation technique for the
velocity, the temperature, and the concentration field. The expression for the skin
friction, Nusselt number and Sherwood number are obtained. The effects of various
thermo-physical parameters on the velocity, temperature and concentration as well as
the skin-friction coefficient, Nusselt number and Sherwood number has been computed
numerically and discussed qualitatively.
Keywords: Radiation, chemical reaction, temperature, porous plate, MHD, mass
transfer
71
NYM 086
PERISTALTIC MOTION
THROUGH A POROUS
CHANNEL
OF A WILLIAMSON FLUID
MEDIUM IN A SYMMETRIC
S. Harinath Reddy
M.V. Subba Reddy
Department of Mathematics
AITS (AUTONOMOUS)
Rajampet,Kadapa
harinath.singamala@gmail.com
Professor, Department of Computer Science & Engineering,
Sri Venkatesa Perumal College of Engineering &
Technology,
Puttur-517583, Chittoor, A.P., India
Abstract: In this paper, the peristaltic flow of a Williamson fluid through a porous
medium in a planar channel, under the assumptions of low Reynolds number and long
wavelength is studied. The flow is investigated in a wave frame of reference moving
with velocity of the wave. The perturbation series in the Weissenberg number (We <1)
was used to obtain explicit forms for velocity field, pressure gradient and friction force
per one wavelength. The effects of Weissenberg number We, Darcy number Da and
amplitude ratio on the pressure gradient, pumping characteristics and friction force are
discussed through graphs in detail.
Keywords: Darcy number, Peristaltic flow, Weissenberg number, Williamson fluid
NYM 087
EFFECTS OF VISCOUS DISSIPATION ON TRANSIENT FREE
CONVECTIVE MHD FLOW THROUGH A POROUS MEDIUM
J. Girish Kumar
P. M. Kishore
Dept. Of Mathematics,
Govt. Degree College, Jammalamadugu,
Kadapa(Dt.), A. P.
Dept. Of Mathematics,
Narayana Engineering College, Nellore, A. P.
Abstract: The present study sought to investigate the effects of viscous heat dissipation
on the transient free convective and mass transfer flow of on electrically conducting,
viscous, incompressible fluid, past an infinite vertical porous plate, in presence of
uniform externally applied transverse magnetic filed through porous medium. The
plate is subjected to a variable suction velocity and both the temperature as well as
concentration is assumed to be oscillating with time. The governing nonlinear partial
differential equations are transformed to nonlinear orderinary differential equation and
it is numerically solved using an unconditionally stable explicit finite difference
method of DuFort – Frankel’s type. Velocity, temperature and concentration profiles
are presented graphically and the effects of different physical parameters involved are
discussed. It is noticed that an increase in viscous dissipation heat leads to increase in
both the transient velocity as well as the temperature. During the course of discussion,
it is found that the flow is appreciably influenced by magnetic field, viscous heat
dissipation as well as time.
72
NYM 088
RADIATION EFFECT ON MIXED CONVECTIVE FLOW
THROUGH A POROUS MEDIUM IN A VERTICAL CHANNEL
MAINTAINED AT NON-UNIFORM
TEMPERATURE
WITH QUADRATIC DENSITY TEMPERATURE VARIATION
Dr. M.Bharathi
Prof.D.R.V.Prasada Rao (Rtd.),
Lecturer in Mathematics
GDC for Men, Kurnool
S.K.University
Anantapur.
Abstract: In this paper we investigate the radiation effect on the mixed convective
flow through a porous medium confined in a vertical channel whose walls are
maintained at non-uniform temperature. A quadratic density temperature variation is
used in the equation of state. The governing equations are solved by regular
perturbation method with delta ,the slope of the boundary temperature as a perturbation
parameter. The velocity, the temperature, the shear stress, the rate of heat transfer are
discussed for different variations of G, D-1, R, , N1, x . The stress and the rate of
heat transfer on the boundary walls have been evaluated numerically for different sets
of variations.
NYM 089
RADIATION AND MASS TRANSFER EFFECTS ON MHD
FLOW BETWEEN TWO PARALLEL PLATES IN THE
PRESENCE OF CHEMICAL REACTION
P. Bala Anki Reddy
N. Bhaskar Reddy
Fluid Dynamics division, VIT University,
Vellore, Tamil Nadu -632014, India
Department of Mathematics
S. V. University, Tirupati, (India)
Abstract: This paper investigates the effect of thermal radiation on an steady heat and
mass transfer flow of a viscous incompressible electrically conducting fluid through a
channel filled with saturated porous medium, taking homogeneous chemical reaction of
first order into account. Using the similarity variable, the partial differential equations
were reduced to ordinary differential equations. The coupled ordinary differential
equations were solved numerically using shooting method. The effect of various
physical parameters on the flow variables are computed and discussed in graphically.
NYM 090
FLOW OF A JEFFREY FLUID THROUGH A TAPERED TUBE
WITH PERMEABLE WALL
G. Sucharitha
Department of Mathematics,
Priyadarshini Institute of Technology,
Tirupati, A.P. India
P. Lakshminarayana
Department of Mathematics,
Sree Vidyanikethan Engineering
College-517 102, Tirupati
S. Sreenad
Department of Mathematics
S. V. University,
Tirupati, (India)
Abstract: The Jeffrey fluid flow through a tapered tube with permeable wall is
analyzed. The radius of the tube is assumed to vary linearly with z. The expressions for
the velocity fields and volume flow rates are obtained using Beavers and Joseph (1967)
and Saffman (1971) slip conditions at the permeable walls of the tube. The effect of
various parameters on the pumping characteristics have been investigated and the
results are shown graphically as well as numerically.
73
NYM 091
FINITE ELEMENT ANALYSIS OF CONVECTIVE HEAT AND
MASS TRANSFER FLOW OF A VISCOUS FLUID PAST A
VERTICAL PLATE WITH CHEMICAL REACTION AND
RADIATION ABSORPTION
M.Arjun
Abstract: We investigate the effect of chemical reaction, radiation absorption on double
diffusive heat transfer flow of viscous electrically conducting fluid through a porous
medium over a semi infinite vertical plate. The non-linear coupled equations governing
the flow, heat and mass transfer are solved numerically by Galerkin Finite Element
Analysis. The velocity, temperature, concentration, rate of heat and mass transfer are
discussed for different variation of the governing parameters.
Keywords: Chemical reaction, Radiation absorption, Dissipation, Porous medium,
Heat and mass transfer, Radiation and Heat sources.
NYM 092
FLOW OF A COUPLE STRESS FLUID THROUGH A POROUS
LAYER BOUNDED BY PARALLEL PLATES
K. Nandagopal
Assistant Professor
Dept. of GEBH(Mathematics)
Sree Vidyanikethan Engg.College, TPT
S. Sreenad
Department of Mathematics
S. V. University, Tirupati, (India)
Abstract: The flow of a couple stress fluids through a porous medium bounded by
parallel plates is investigated. The permeability of the porous medium is taken as k. The
lower and upper plates are maintained at fixed temperatures T1 and T2 respectively. The
X- axis is taken along the central line of the channel and Y-axis is perpendicular to it.
The width of the porous channel is 2h. The expressions for the velocity and the
temperature are obtained. The mass flow rate and its fractional increase are determined
.The effect of permeability and couple stress parameters on the velocity and the
temperature are discussed through graphs.
NYM 093
FINITE ELEMENT ANALYSIS OF CONVECTIVE HEAT AND
MASS TRANSFER FLOW IN A CIRCULAR ANNULUS WITH
SORET AND DUFFER EFFECT
Dr.S. Jafarunnisa
Assistant Professor
Intell Engineering College Anantapur
Prof.D.R.V. Prasada Rao
Professor, Dept of Mathematics
S.K. University, Anantapur.
Abstract: We consider Heat and Mass transfer flow of viscous electrically conducting
fluid in a circular annulus with soret and duffer effect. The coupled equations are
solved by employing Galerkine finite element analysis with three noded line segments.
The effect of thermodiffusion and diffusion thermo on all flow characteristics have
been investigated.
Key words: Heat and Mass transfer, Circular annulus, Soret and duffer effect and
Porous Medium.
74
NYM 094
DOUBLE DIFFUSIVE HEAT TRANSFER FLOW IN A
CIRCULER ANNULER REGION – A FINITE ELEMENT STUDY
Dr.S. Jafarunnisa
Prof.D.R.V. Prasada Rao
Associative Professor, Dept. of Mathematics
Sri venkateswara Institute of Technology,
Anantapur Andhrapradesh, India
ymsmadhu@gmail.com
Professor
Dept of Mathematics
S.K. University, Anantapur.
drv_atp@yahoo.in
Abstract: The mixed convective heat and mass transfer flow of a viscous fluid through
a porous medium in cylindrical annulus is considered. The non coupled equations
governing the heat and mass transfer are solved by employing a finite element analysis.
The effect of various fluid forces on the velocity, temperature, concentration is
analyzed. The rate of heat and mass transfer on the inner and outer cylinders are
evaluated numerically for different parametric values.
Key words: Mixed convective heat and mass transfer flow, porous medium, Galarkin
finite element analysis.
NYM 095
RADIATION ABSORPTION AND CHEMICAL REACTION
EFFECTS ON MHD FREE CONVECTION FLOW PAST
A VERTICAL POROUS PLATE IN A SLIP FLOW REGIME
K. Gopal Reddy
Department of Mathematics
Sri Venkateswara University Tirupati,
Andhra Pradesh, India
kallurugopalreddy009@gmail.com
K.S. Balamurugan
Department of Mathematics, RVR & JC
College of Engineering, Guntur, Andhra
Pradesh, India
muruganbalaks@gmail.com
S.V.K.Varma
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Abstract: The objective of this study is to investigate radiation absorption and chemical
reaction effects on unsteady hydromagnetic free convection flow of a viscous,
incompressible, electrically conducting fluid with heat and mass transfer past a moving
porous vertical plate of infinite length with time dependent suction in the presence of
heat source in a slip flow regime. Slip flow conditions for the velocity and jump in
temperature are taken into account in the boundary conditions. A uniform transverse
magnetic field is applied. The free stream velocity is considered to follow an
exponentially small perturbation law. The dimensionless governing equations are
solved analytically using the perturbation method and solutions for velocity,
temperature and concentration are obtained. Further, the results of the skin friction
coefficient and dimensionless rate of heat and mass transfer at the plate are also
presented. The effects of various physical parameters over the velocity, temperature
and concentration distribution as well as on skin friction coefficient, dimensionless rate
of heat transfer and dimensionless rate of mass transfer at the plate are shown through
graphs.
Keywords: Free convection, Slip flow, Perturbation method, Chemical Reaction,
Radiation absorption
75
NYM 096
AN UNSTEADY VISCOUS FLOW THROUGH A POROUS
SLAB BOUNDED BETWEEN TWO
IMPERMEABLE
PARALLEL PLATES
Md. Sarfaraz Hussain
Dr.N.Ch.Pattabhi Ramacharyulu
Asst.Prof. in Mathematics,
Shadan College of Engg. & Tech.,
Hyderabad -08
Retd. Prof. of Mathematics
NIT Warangal
Abstract: The present investigation deals with an unsteady flow of viscous
incompressible Newtonian fluid through a porous medium bounded between two
impermeable parallel plates. The momentum equation for the flow through a porous
medium takes care of fluid inertia and the Newtonian stresses in addition to classical
Darcy’s friction. Initially, the flow is generated by a constant pressure gradient down
the plates. When the steady state is reached, the pressure gradient is suddenly
withdrawn and the subsequent fluid-flow is analyzed employing the Laplace transform
technique to obtain the fluid-velocity field. Expressions for a further, flow-rate, skin
friction on the boundary having been obtained.
The variations of flow parameters are illustrated and conclusions are drawn
based on the observations.
NYM 097
MASS TRANSFER EFFECTS ON MHD FREE CONVECTION
FLOW THROUGH A POROUS MEDIUM BOUNDED BY AN
INCLINED SURFACE
S.Masthan Rao
K.S. Balamurugan
S.V.K.Varma
Department of Mathematics, RVR & JC
College of Engineering, Guntur,
Andhra Pradesh, India
muruganbalaks@gmail.com
Department of Mathematics,
RVR & JC College of Engg. Guntur,
Andhra Pradesh, India
muruganbalaks@gmail.com
Department of Mathematics
Sri Venkateswara University
Tirupati517502
[
Abstract: An analysis of steady two-dimensional free convection and mass transfer
flow of a viscous incompressible electrically conducting fluid through a porous
medium bounded by an inclined surface with constant suction velocity, constant heat
and mass flux in the presence of uniform magnetic field is presented. The equations
governing the fluid flow are solved using perturbation method and the expressions are
obtained for velocity, temperature and concentration fields. The skin friction
coefficient, the rate of heat transfer and the rate of mass transfer in terms of Nusselt
number, Sherwood number at the surface are also presented. The effects of Grashof
number for heat transfer (Gr > 0, corresponds to externally cooled plate and Gr < 0
specifies condition for externally heated plate), Grashof number for mass transfer,
Schmidt number, Eckert number, Permeability parameter and Magnetic number on
velocity, temperature and concentration profiles as well as on skin friction coefficient,
dimensionless rate of heat transfer and dimensionless rate of mass transfer at the
surface are discussed analytically and shown graphically.
Keywords: Porous medium, free convection, Inclined surface, Heat flux, Mass flux
76
NYM 098
CHEMICAL REACTION AND RADIATION EFFECTS ON MHD
FREE CONVECTION FLOW OF DISSIPATIVE FLUID PAST
AN EXPONENTIALLY ACCELERATED VERTICAL PLATE
EMBEDDED IN A POROUS MEDIUM
P.M. Kishore
D. Bhanumathi
S.V.K.Varma
Department of Mathematics, Narayana
Engineering College, Nellore - 524001
(A.P), India.
pmk_pjamuna@yahoo.co.in
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Abstract: A numerical study is presented on the effects of chemical reaction and
magnetic field on the unsteady free convection flow, heat and mass transfer
characteristics in a viscous, incompressible and electrically conducting fluid past an
exponentially accelerated vertical plate embedded in a porous medium by taking into
account the heat due to viscous dissipation. The problem is governed by coupled nonlinear partial differential equations. The dimensionless equations of the problem have
been solved numerically by the implicit finite difference method of Crank – Nicolson’s
type. The effects of governing parameters on the flow variables are discussed
quantitatively with the aid of graphs for the flow field, temperature field, concentration
field, skin-friction, Nusselt number and Sherwood number. It
is found that under the influence of chemical reaction, the flow velocity as well as
concentration distributions reduce, while the velocity reduces as porous medium
increases. Viscous dissipation parameter leads to increase the temperature.
NYM 099
CHEMICAL REACTION EFFECTS ON MHD FREE
CONVECTION FLOW IN AN IRREGULAR CHANNEL WITH
POROUS MEDIUM
B.Devika
P.V.Satya Narayana
S.Venkataramana
Research Scholar
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Fluid Dynamics Division, SAS
VIT University, Vellore – 632 014 T.N, India
Corresponding author: pvsatya8@yahoo.co.in
Department of Mathematics,
Sri Venkateswara University
Tirupati – 517 502, A.P, India
Abstract: This paper analysis the influence of chemical reaction and heat source on two
dimensional free convection MHD flow of a viscous incompressible fluid through a
finitely long vertical wavy wall and a smooth flat wall. A uniform magnetic field is
assumed to be applied normal to the insulating walls of the channel. The equations
governing the flow filed have been solved by using regular perturbation technique by
subjecting to a set of appropriate boundary conditions. The solution of the mean part
and the total solution of the problem have been evaluated analytically for several sets of
values of the parameters pertaining to the problem and are shown graphically.
Key words: MHD, viscous incompressible fluid, chemical reaction, heat source/ sink.
77
NYM 100
INFLUENCE OF CHEMICAL REACTION AND RADIATION
ABSORPTION ON MHD MICROPOLAR flOW OVER A
MOVING VERTICAL POROUS PLATE
D.Harish Babu
P.V.Satya Narayana
SVPCET, Puttur-517 583 A.P,
India
Fluid Dynamics Division, SAS
VIT University,
Vellore – 632 014 T.N, India
email: pvsatya8@yahoo.co.in
Abstract: An analysis of unsteady free convection with heat and mass transfer flow for
a micropolar fluid through a porous medium with a variable permeability bounded by a
semi infinite vertical plate in the presence of heat generation, thermal radiation, firstorder chemical reaction and the radiation absorption are reported. The plate is assumed
to move with a constant velocity in the direction of fluid flow. A uniform magnetic
field acts perpendicular to the porous surface in which absorbs micro polar fluid with a
suction velocity varying with time. The dimensionless governing equations for this
investigation are solved analytically using two-term harmonic and non-harmonic
functions. To observe physical insight and interesting aspects of the problem, the
velocity, angular velocity, temperature and concentration field are numerically studied
and displayed graphically for pertinent parameters.
Key words: Micropolar fluid, Chemical reaction, Heat generation, Radiation
absorption, Thermal radiation.
NYM 101
EXACT SOLUTION OF HEAT AND MASS TRANFER OF AN
UNSTEADY PERIODIC MHD POISEUILLE FLOW WITH
TRANSPIRATION COOLING AND THERMAL RADIATION
Y. Swapna
S.V.K.Varma
Research Scholar
Department of Mathematics
Sri Venkateswara University, Tirupati517502
Department of Mathematics,
Sri Venkateswara University
Tirupati – 517 502, A.P, India
Abstract: An analysis of an oscillatory flow of a viscous, incompressible and
electrically conducting fluid with heat and mass radiation in a horizontal porous
channel is carried out. The lower stationary plate and the upper plate in unsteady
periodic motion are subjected to a same constant injection and suction velocity
respectively. The temperature of the upper plate in periodic motion various periodically
with time. The concentration of the upper plate in periodic motion various periodically
with time. The flow in the channel is also acted upon by periodic variation of pressure
gradient. A magnetic field of uniform strength is applied in the direction normal to the
plates. A closed form solution of the problem is obtained. The effects of various flow
parameters on the velocity, temperature and concentration fields have been shown
graphically and discussed in detail.
Keywords: Unsteady periodic, MHD flow, Porous channel, Transpiration cooling,
Thermal radiation.
78
NYM 102
UNSTEADY FLOW OF COUPLE STRESS
CONTACT WITH A NEWTONIAN FLUID
PERMEABLE BEDS
FLUID IN
BETWEEN
S. Sreenad
A.Parandhama
R.Hemadri Reddy
Department of Mathematics
S. V. University, Tirupati, (India)
Assistant Professor
Dept. of GEBH(Mathematics)
Sree Vidyanikethan Engg.College, TPT
School of Advanced Sciences,
VIT University, Vellore-632014,
India.
Abstract: Unsteady flow of two immiscible fluids between two permeable beds of
different permeability is analyzed. The flow region between permeable beds is divided
into two regions. The flow region between the nominal surface of the lower permeable
bed and the interface y=0 is named as Region-1 and the flow region between the
interface and the upper permeable bed is designated as Region-2.The flow in Region1 is described by Couple stress model and the flow in Region-2 is governed by NavierStokes equations. The flow is assumed to be driven by an exponentially time dependent
pressure gradient. Expressions for the velocity distributions in the two regions,
interface velocity and the mass flow rate are obtained. The effects of physical
parameters such as couple stress parameter and viscosity ratio on the flow are found
and shown graphically.
Key words: Couple stress fluid, Newtonian fluid, Permeable bed.
NYM 103
THERMAL RADIATION EFFECT ON UNSTEADY MHD FREE
CONVECTION HEAT AND MASS TRANSFER FLOW OF
MICROPOLAR FLUID PAST A VERTICAL POROUS PLATE
P.V.Satya Narayana
B.Venkateswar
S.Venkataramana
Fluid Dynamics Division, SAS
VIT University, Vellore – 632 014
T.N, India
pvsatya8@yahoo.co.in
Research Scholar
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Department of Mathematics,
Sri Venkateswara University
Tirupati – 517 502, A.P, India
Abstract: This paper studies the effect of thermal radiation on unsteady MHD free
onvection heat and mass transfer flow of micropolar fluid through a porous medium
bounded by a semi-infinite porous plate with constant heat source, taking an oscillatory
plate velocity and a constant suction velocity at the plate. The plate velocity is assumed
to oscillate in time with a constant frequency, it is assumed that the solutions of the
boundary layer are the same oscillatory type. The governing non-dimensional equations
are solved analytically after using perturbation technique. The effects of the various
flow parameters and thermophysical properties on the velocity, angular velocity,
temperature and concentration fields across the boundary layer are investigated.
Numerical results of velocity profiles of micropolar fluids are compared with the
corresponding flow problems for a Newtonian fluid. The result shows that there exists
completely oscillating behavior in the velocity distribution.
Keywords: Thermal radiation, Chemical reaction, MHD, Heat source, Micropolar
fluid, Porous plate
79
NYM 104
JORDAN DERIVATIONS ON SIMPLE RINGS
Dr. C. Jaya Subba Reddy1
Dr. P. Gurivi Reddy2
K. Hemavathi 3
1Assistant
Professor,Department of Mathematics, S.V.University Tirupathi. .
e-mail:cjsreddysvu@gmail.com
2Lecturer in Mathematics, SBVR Degree College, Badvel
3Research scholars,Department of Mathematics, S.V.University, Tirupathi
Abstract: I.N.Herstein proved that any Jordan derivation on a prime ring of
characteristic not 2 is a derivation. M.Bresar extended this result to semiprime rings,
while in this paper we extend our results to simple rings.
Through out this paper all rings will be associative. We shall denote by Z(R) the
centre of a ring R. An additive mapping D: R  R will be called a derivation if D (xy)
= D(x) y + x D(y) holds for all pairs x, y  R. We call an additive mapping D: R  R a
Jordan derivation if D(x2) = D(x) x + x D(x) holds for all x  R. Obviously, every
derivation is a Jordan derivation. The converse is in general not true.
In this paper we prove that let R be a 2-divisible simple ring and let D: R  R
be a Jordan derivation. Then D is a derivation.
NYM 105
CHEMICAL REACTION AND THERMAL DIFFUSION
EFFECTS ON MHD FREE CONVECTION FLOW PAST A SEMI
INFINITE VERTICAL PERMEABLE MOVING PLATE
Shaik ABZAL
N.B.K.R Institute of Science & Technology,
Vidyanagar, A.P
INDIA-524413
abbuoct23@gmail.com
G. V. Ramana Reddy
KL UNiversity, Vaddeswaram,
A.P, INDIA-522502
S.V.K.Varma
Department of Mathematics
Sri Venkateswara University
Tirupati517502
svijayakumarvarma@yahoo.co.in
Abstract: The present work analyzes the influence of a first-order homogeneous
chemical reaction and thermal radiation on hydromagnetic free convection heat and
mass transfer for a viscous fluid in the presence of thermal diffusion and heat
generation. The plate is assumed to moves with a constant velocity in the direction of
the flow. A uniform magnetic field acts perpendicular to the porous surface which
absorbs the fluid with a suction velocity varying with time. The dimensionless
governing equations for this investigation are solved analytically using two terms
harmonic and non-harmonic functions. The effects of various parameters on the
velocity, temperature and concentration fields are presented graphically and discussed
qualitatively.
Key words: Thermal radiation, chemical reaction, MHD, free convection, heat
generation.
80
NYM 106
NON – DARCY EFFECTS ON NATURAL CONVECTION IN
POROUS MEDIA
Dr.D.R.V.Prasad Rao,M.Sc,P.Hd,
Ch.Chandra Sekhar,M.Sc,M.Phil,(P.Hd),
Department Of Mathematics,
S.K University, Anantapur.
Department Of Mathematics,
S.V College Of Engineering, Nellore(D.T).
Abstract : In this paper we studied the “Non – Darcy effects on natural convection in
porous media”. The expressions for velocity field and temperature field are obtained
analytically. The effects of various pertinent parameters on the velocity field and
temperature field are studied in detail through graphs . Hear we used perturbation
technique.
NYM 107
SECOND ORDER FLUID FLOW PAST A SEMI INFINITE
PLATE – THE ANALOGY WITH MIXED CONVECTIVE FLOW
OVER A NON-ISOTHERMAL VERTICAL POROUS PLATE
WITH APPLIED MAGNETIC FIELD
K. R. Kavitha
Ch. V. Ramana Murthy
Lakireddy Bali Reddy College of Engineering,
Mylavaram-521 230. (a.p) India.
Department Of Mathematics,
S.V College Of Engineering, Nellore(D.T).
Abstract: Mixed convection flow over a non-isothermal vertical surface with respect to
the fluid flow disturbances on an inclined plate has been examined. High variation in
the wall temperature is generally observed in fluid within the boundary layer as a result
of which the temperature decreases and the free stream temperature is attained within
the short distance from the boundary. In the case of fluid past an inclined plane, as the
porosity increases the fluid flow across the plane decreases and the velocity profiles are
seen to be similar to that of the dimensionless temperature in the case of mixed
convective radiation. In the case of fluid flow past a semi-infinite plate, the influencing
parameters are porosity and magnetic field while in case of mixed convection it is mass
radiation parameter. The profiles in both the cases are noticed to be similar. The mass
radiation is noticed to be inversely proportional to temperature. The effect of mixed
convective parameter is negligible at the plate end and at the edge of the boundary.
While in the case of fluid flow past a semi-infinite bounding surface, increase in
magnetic intensity decreases fluid velocity. The velocity profiles almost are found to be
replica of each other. The effect of mixed convection is noticed to be similar to the
applied magnetic field while the temperature can be related to the velocity. The
parameter influencing is radiation parameter in a situation of aiding and opposing flows
while in the other case it is the applied magnetic field and the angle of inclination on
the velocity profiles.
81
NYM 108
SORET AND DUFOUR EFFECTS ON MHD MIXED
CONVECTION STAGNATION POINT FLOW OF A
RADIATING AND CHEMICALLY REACTING FLUID PAST
AN ISOTHERMAL VERTICAL PLATE IN POROUS MEDIUM
WITH VISCOUS DISSIPATION AND HEAT GENERATION/
ABSORPTION
M.Prasanna Lakshmi
Department of Mathematics
Sri Venkateswara University
Tirupati517502
N. Bhaskar Reddy
Department of Mathematics
Sri Venkateswara University
Tirupati517502
S.Suneetha [
Department of Mathematics,
YSR College of Engineering of
YVU, Prodattur
Abstract: The objective of the present paper is to analyze the effects of Soret, Dufour,
chemical reaction and volumetric heat generation/absorption on a mixed convection
stagnation point flow of a viscous incompressible electrically conducting and radiating
fluid past an isothermal vertical plate in a porous medium by taking viscous dissipation
into account. The governing boundary layer equations have been transformed to a twopoint boundary value problem in similarity variables and the resultant problem is
solved numerically using the Runge-Kutta method with shooting technique. The
influence of various governing parameters on the fluid velocity, temperature,
concentration, skin-friction coefficient, Nusselt number and Sherwood number are
computed and shown in figures and tables.
NYM 109
SORET AND DUFOUR EFFECTS ON MHD HEAT AND MASS
TRANSFER FLOW OVER A MOVING NON-ISOTHERMAL
VERTICAL PLATE WITH THERMAL STRATIFICATION AND
VISCOUS DISSIPATION
M.Prasanna Lakshmi
N. Bhaskar Reddy
A. Neeraja
Department of Mathematics
Sri Venkateswara University
Tirupati517502
Department of Mathematics
Sri Venkateswara University
Tirupati5175
Department of Mathematics,
M.S. Engineering college ,
Bangalore - 562110.
Abstract: This paper focuses on the numerical solution of a steady MHD convective
heat and mass transfer flow of a viscous incompressible electrically conducting fluid
along a moving, non-isothermal vertical plate in the presence of mass transfer, Soret
and Dufour effects and viscous dissipation. The governing boundary layer equations
have been transformed to a two-point boundary value problem in similarity variables
and the resultant problem is solved numerically using the fourth order Runge-Kutta
method along with shooting technique. The influence of various governing parameters
on the fluid velocity, temperature, concentration, skin-friction coefficient, Nusselt
number and Sherwood number are computed and discussed in detail
82
NYM 110
RADIATION AND VISCOUS DISSIPATION EFFECTS ON MHD
CONVECTIVE FLOW PAST AN ACCELERATED VERTICAL
POROUS PLATE EMBEDDED IN A POROUS MEDIUM WITH
CHEMICAL REACTION
M.Prasanna Lakshmi
Department of Mathematics
Sri Venkateswara University
Tirupati517502
N. Bhaskar Reddy
Department of Mathematics
Sri Venkateswara University
Tirupati517501
P. Bala Anki Reddy
Department of Mathematics,
SAS, VIT University
Vellore- 632 014.
.
Abstract : This paper analyzes the radiation effects on an unsteady mixed convection
mass transfer flow of a viscous incompressible electrically conducting fluid past an
accelerated infinite vertical porous flat plate embedded in a porous medium, when the
plate accelerates in its own plane, by taking viscous dissipation into account. .
Similarity transformation is employed to convert the governing partial differential
equations into ordinary differential equations. The resultant equations are then solved
numerically using Runge-kutta fourth order method along with shooting technique. The
effects of the flow parameters on the velocity, temperature and concentration
distribution in the flow field have been computed and represented through figures and
tables.
NYM 111
RADIATION AND MASS TRANSFER EFFECTS ON AN
UNSTEADY MHD CONVECTION FLOW PAST A SEMI –
INFINITE VERTICAL PERMEABLE MOVING PLATE
EMBEDDED IN A POROUS MEDIUM WITH HEAT
ABSORPTION
V.Srinivasa Rao
L. Anand Babu
Anurag of Group of Institutions
Venkatapur (V),Ghatkesr (M), R.R.Dist,
Andhra Pradesh. Email: uhita@yahoo.com
Anurag of Group of Institutions
Venkatapur (V),Ghatkesr (M), R.R.Dist,
Andhra Pradesh.
Abstract: An unsteady, two – dimensional, hydro magnetic, laminar mixed convective
boundary – layer flow of an incompressible, Newtonian, electrically – conducting and
radiating fluid along a semi – infinite vertical permeable moving plate with heat and
mass transfer is analyzed, by taking into account the effect of heat absorption. The plate
moves with a constant velocity in the direction of fluid flow while the free stream
velocity follows an exponentially increasing small perturbation law. The dimensionless
governing equations for this investigation are solved numerically using finite element
method and graphical results for velocity, temperature and concentration profiles within
the boundary layer and tabulated results for the skin – friction coefficient, Nusselt
number and Sherwood number are presented and discussed. It is observed that when the
radiation parameter increases, the velocity and temperature decrease in the boundary
layer, whereas when thermal and solutalGrashof increase, the velocity increases.
Keywords: Radiation, Heat absorption, Heat and mass transfer, Finite element method.
83
NYM 112
MATHEMATICAL APPLICATIONS OF HUBBLE VOLUME IN
PARTICLE COSMOLOGY
U.V.S. Seshavatharama,b
Prof. S. Lakshminarayana
Honorary faculty, I-SERVE, Alakapuri,
Hyderabad-35, AP.
bSr. Engineer, QA - Spun division,
Lanco Industries Ltd, Srikalahasti, AP.
E-mail: seshavatharam.uvs@gmail.com
Dept. of Nuclear Physics,
Andhra University,
Visakhapatnam-03, AP, India
E-mail: lnsrirama@yahoo.com
Abstract: If we do not yet know whether the universe is spatially closed or open, then
the idea of Hubble volume can be used as a mathematical or physical tool in cosmology
and unification. In the universe, if the critical density is c   3H 02 / 8 G  and the
characteristic Hubble radius is R0   c / H0  , mass of the cosmic Hubble volume is
M 0  c 3 / 2GH 0 . One interesting microscopic observation is


c Gmp M 0 me  1
where m p and me are the rest masses of proton and electron respectively. With this
coincidence obtained value of the present Hubble’s constant is H 0  70.75
km/sec/Mpc. Thus it can be suggested that, in the presently believed atomic and nuclear
physical constants, there exists one cosmological variable. Similar to the planck mass,
considering the elementary charge, a new mass unit e2 / 4 0G  M C can be
constructed. Surprisingly it is noticed that, cosmic thermal energy density, matter
density and critical density are in geometric series and the geometric ratio is
1  ln  M 0 / M C  . Thus the obtained present CMBR temperature is 2.718 0 K and is
very close to the actual value 2.725 0 K . It is assumed that, there exists a charged heavy
massive elementary particle M X in such a way that, inverse of the fine structure ratio is
close to the natural logarithm of the sum of number of positively and negatively
charged M X in the Hubble volume. Surprisingly it is noticed that, M X mass is close to
Avogadro number times the rest mass of electron and plays an important role in atomic
and nuclear physics. With this coincidence obtained value of the present Hubble’s
constant is H 0  69.54 km/sec/Mpc.
NYM 113
A SUSCEPTIBLE-INFECTIVE EPIDEMIC MODEL WITH TIME
DELAY AND STOCHASTIC EFFECTS
A. Sabarmathi
Fluid Dynamics Division, School of
Advanced Sciences,
VIT University Vellore, India
sabarmathi.a@gmail.com
B.Rushi kumar
Fluid Dynamics Division, School of
Advanced Sciences,
VIT University Vellore, India
rushikumar@vit.ac.in
Kalyan Das
National Institute of Food
Technology Entrepreneurship and
Management, Department of
Mathematics,
Kundli - 131028, Haryana, India.
daskalyan27@gmail.com
Abstract: The research article concentrates on the study of delay and stochastic effect
on a density dependent Susceptible-Infective (S-I) epidemic model with randomly
fluctuating environment. The study shows the effect of noise on the size of epidemic is
remarkable. The fluctuations lead to noise contributions of additive character and
additive noise of sufficient richness reduces the random attractor to a single point.
Numerical simulations are also performed to validate the results.
84
NYM 114
SOME COSMOLOGICAL MODELS
THEORY OF GRAVITATION
IN
BRANS-
DICKE
Charan Kumar Ganteda
Raju papilla
K.L. University
Charankumarganteda@kluniversity.in.
Priyadarsini institute of science and technology
rajupapalla@gmail.com
Abstract: Einstein special theory of relativity deals with uniform motions and inertial
frames. General theory of relativity deals with relativity of all kinds of motion. It is based
on three basic principles: Principal of co-variance. Principal of equivalence states that
accelerated and gravitational systems are equivalent. This theory of gravitation has been
very successful in surveying the gravitation phenomena. It is also useful to construct
cosmological models of the universe. However a number of modifications of Einstein
theory have been proposed from time to time.In recent years there has been a lot of
interest in the study of the various aspects of these series and then to compare them with
results of general theory of relativity. With this motivation, the researchers have taken up
the study of cosmological models of physical interest in the scalar tensor theories of
gravitation.
The proposed work entitled SOME COSMOLOGICAL MODELS IN BRANSDICKE SCALAR TENSOR THEORY OF GRAVITATION. A lot of work is available
in literature on BRANS-DICKE theory of gravitation. General theory of relativity brings
in the considerations of gravitational field into the development of the theory. Max
principal states that the inertial properties depend on the surrounding matter distribution.
Keeping in view the above three principles Einstein formulated general theory of
relativity.
In our proposed work we intend to investigate the following problems in scalar
tensor theory of gravitation. Bianchi models which are 9 in number play a vital role in
understanding the early stages of evaluation of the universe i.e., the structure formation
and galaxy formation in the universe. We proposed to investigate bianchi type-I model in
size ballaster theory in the presence of perfect distribution. We would like to obtain FRW
(Friedmann Roderteson-walker) universe in size ballester theory. We also proposed to
establish Birkhoff’s theorem of general relativity and to determine the interior solution of
a perfect fluid sphere in this theory.
The above investigations when completed will help in understanding the scalar
tensor cosmology which will through a better light on the study of large scale structure of
the universe in relation to scalar tensor theories of gravitation.
85
NYM 115
A NON – LINEAR MATHEMATICAL MODEL OF A SINGLE
SPECIES ECO SYSTEM
V.Anand
Prof.N.Ch.Pattabhi Ramacharyulu
Asst. Professor in Mathematics
CJITS,Jangaon, Warangal
Prof(Retd) in Mathematics NIT,Warangal
Abstract:- In the present paper a non linear growth of a single species eco system is
examined. The growth rate equation is
. In all three
equilibrium points are exist. The criteria of their stability derived. Based upon a set of
arbitrary chosen coefficients in the growth rate equation some threshold results have
been obtained.
NYM 116
A
HOSTMORTAL
COMMENSAL
IMMIGRATION OF BOTH THE SPECIES
MODEL
WITH
N. Seshagiri Rao
N.Ch. Pattabhi Ramacharyulu
Faculty in Mathematics, Department of
Basic Sciences& Humanities
Vignan’s Lara Institute of Technology and Science
Vadlamudi – 522213, Guntur, India
Formerly Faculty, Department of Mathematics &
Humanities
National Institute of Technology, Warangal – 506004,
India
Abstract:-This paper presents an analytical investigation on two species commensalhost ecological model with commensal mortality rate. Further, both the species are with
natural limited resources and are immigrating at constant rates.
The mathematical model is characterized by a couple of first order non-linear
ordinary differential equations. The lone existing equilibrium point is identified and the
stability criterion for it is derived. Solutions for the linearized perturbed equations are
found and results presented. The growth rate equations of the species are solved
numerically employing Runge-Kutta fourth order method and the trajectories of the
species are illustrated. Further, some threshold results are stated followed by the
identification of threshold regions through illustrations by selected values to the
parameters. Criteria for global stability of linearized equations are discussed employing
a properly constructed Liapunov’s function.
NYM 117
ON DISCRETE CIRCULAR MODELS
S.V.S.Girija
A.V. Dattatreya Rao
Associate Professor, Dept. of Mathematics
Hindu College, Guntur svs.girija@gmail.com
Professor of Statistics, Acharya Nagarjuna University
Guntur, avdrao@gmail.com
Abstract: Circular data arise in various fields. Many models on circle are constructed
by wrapping the existing linear continuous models. Here an attempt is made to
construct Discrete circular models by the method of wrapping the linear discrete model
around a unit circle [Mardia and Jupp (2000)]. As reduction modulo 2 wraps the line
onto the circle, reduction modulo 2 m where m is a positive integer wraps the integers
onto the group of mth roots of 1, regarded as a subgroup of the circle.
86
NYM 118
A
HOSTMORTAL
COMMENSAL
MODEL
WITH
IMMIGRATION OF THE COMMENSAL AND MIGRATION OF
THE HOST SPECIES
K. Kalyani
Faculty in Mathematics Department of
Basic Sciences& Humanities
Vignan University,
Vadlamudi Guntur, India
N.Ch. Pattabhi Ramacharyulu
Formerly Faculty
Department of Mathematics &
Humanities
National Institute of Technology,
Warangal – 506004, India
G.Sarojamma
Former Vice-Chancellor Dept. of
Applied Mathematics
Sri Padmavati Mahila
Viswavidyalayam
Tirupati, India
Abstract: The present paper is devoted to an analytical investigation on two species
commensal-host ecological model with commensal mortality rate and is being
immigrated at a constant rate. Further, both the species are with natural limited
resources and the host species are migrating at constant rate.
The mathematical model is characterized by a couple of first order non-linear
ordinary differential equations. All the possible existing equilibrium points of the
model are identified and the stability criterion for it is derived. Solutions for the
linearized perturbed equations are found and results presented. The growth rate
equations of the species are solved numerically employing Runge-Kutta fourth order
method and the trajectories of the species are illustrated. Further, some threshold results
are stated followed by the identification of threshold regions through illustrations by
selected values to the parameters. Criteria for global stability of linearized equations are
discussed employing a properly constructed Liapunov’s function.
NYM 119
STABILITY ANALYSIS OF TWO MUTUALLY INTERACTING
SPECIES WITH LIMITED RESOURCES FOR BOTH THE
SPECIES AND TIME DELAY
B. Ravindra Reddy
N. Ch. Pattabhi Ramacharyulu
JNTUH College of Engg.,
Jagitial, Katimnagar-505501.
Professor (Retd.) of Mathematics
NIT, Warangal – 506004
[
Abstract:-The present paper deals with a two species mutualism model incorporating
(i)
limited alternative food for both the species
(ii)
time delay
The model is characterized by a coupled system of first order ordinary delayintegro differential equations. In all four equilibrium points are identified and their
stability criteria are derived. Solutions of the linearized perturbed equations are
described. Further some threshold results are illustrated. Global stability is discussed
using Liapunov’s method.
87
NYM 120
NUMERICAL SOLUTION OF FOURTH ORDER BOUNDARY
VALUE PROBLEMS BY GALERKIN METHOD WITH CUBIC
B-SPLINES
K.N.S. Kasi Viswanadham
B. Srinivasulu
Department of Mathematics
National Institute of Technology ,Warangal
Warangal - 506004, India
e-mail:kasi_nitw@yahoo.co.in
Department of Mathematics
National Institute of Technology ,
Warangal Warangal - 506004, India.
e-mail:kasi_nitw@yahoo.co.in
Abstract:-A finite element method involving Galerkin method with cubic B-splines as
basis functions has been developed to solve fourth order boundary value problems. In
the method, the basis functions are redefined into a new set of basis functions which
vanish at the boundary where the Dirichlet type of boundary conditions are prescribed.
The proposed method is tested on several numerical examples of fourth order linear and
nonlinear boundary value problems. The solution of a non-linear boundary value
problem has been obtained as the limit of a sequence of solutions of linear boundary
value problems generated by quasilinearization technique. Numerical results obtained
by the proposed method are in good agreement with the exact solutions available in the
literature.
NYM 121
NUMERICAL SOLUTIONS OF DI_ERENTIAL ALGEBRAIC
EQUATIONS (DAES)
Nageswara Rao Narni
Department of Mathematics,Rajiv Gandhi University of Knowledge Technologies,
Gachibowli, Hyderabad 500032
Abstract:-Differential equations with invariant constraints appear in all _leds of science
and engineering. The invariancy of it is due to conservation laws like, conservation of
mass, energy, etc. In this paper breakage population balance equation is considered
which is an intrgro-partial di_erential equation of linear type. The breakage equation is
widely used in high shear granulation, crystallization, atmospheric science and many
other particle related engineering problems.
A new Di_erential Algebraic Equation formulation of breakage equation is
considered along with invariant constraint like conserva- tion of volume, etc. The index
of the new DAE system is calculated and a suitable numerical scheme is used to solve it
numerically. The numerical solutions of the DAE form are compared with the analytical solutions of the breakage equation. It was observed that this new approach is more
e_cient than the standard ones.
88
NYM 122
A DISCRETE HOST COMMENSAL SPECIES WITH LIMITED
RESOURCES AND
MORTALITY RATE FOR THE
COMMENSAL
R. Srilatha
N.Ch. Pattabhi Ramacharyulu,
Sreechaitanya Inst. of Tech. Science
LMD Colony, Timmapur
Karimnagar-505001
Professor (Retd.) of Mathematics
National Institute of Technology ,
Warangal Warangal - 506004, India
Abstract:-This paper deals with an investigation on a Discrete Host-Commensal
species with limited resources and mortality rate for the commensal.
The model
comprises of a commensal (S1), host (S2) that would benefit S1, without getting effected
either positively or adversely. The model is characterized by a couple of first order
non-linear ordinary differential equations.
All possible equilibrium points are
identified based on the model equations at two stages and criteria for their stability are
discussed. Further the growth rates of the species are numerically estimated using
Runge-Kutta fourth order scheme.
NYM 123
TESTING OF HYPOTHESES
B.Sarath Babu
Siddartha Institute of Science & Technology, Puttur
Abstract: The field of statistics deals with the collection presentation, analysis and use
of data to make decisions and solve problems. The main objective of any statistical
study is to draw conclusions about a collection of objects (observations) under study.
This collection is called the population. Instead of examining this population, which
may be difficult populations which is known as sample. This can be done with the aim
of drawing inferences about the population by using information from the sample, this
process is known as statistical inferences. The theory of statistical inference can be
divided in two major areas. i)Estimation of parameters ii) Testing of hypotheses. A
study of either type of inferences about a population may lead to correct conjectures
about the population. Procedure of estimating a population (parameter) by using sample
information is referred as Estimation. Procedure which enables one to decide whether
to accept or reject hypotheses (the conjectures about the population) are called tests of
hypothesis.
The estimating the value of a parameter (in engineering, science and
management) we need to decide whether to accept or reject a statement about the
parameter. This statement is called hypothesis and the decision-making procedure
about the hypothesis is called hypothesis testing. This one of the most useful aspects of
statistical inference, since many types of decision-making problems, tests or
experiments in the engineering world can be formulated as hypothesis-testing
problems.
89
NYM 124
NUMERICAL ANALYSIS & IT’S APPLICATIONS
Dola.Devanandam
Lecturer in Mathematics Dharma Appa Rao College Nuzvid+521201 Krishna.Dist, Andhra Pradesh, INDIA
E-Mail: ddn1998in@gmail.com Cell: 9492978132
Abstract:-Numerical analysis is a branch of applied mathematics that studies methods
for solving complicated equations using arithmetic operations, often so complex that
they require a computer; to approximate the processes of analysis Numerical analysis is
concerned not just with the numerical result of such a process but with determining
whether the error at any stage is within acceptable bounds.
The field of numerical analysis predates the invention of modern computers by
many centuries. Linear interpolation was already in use more than 2000 years ago.
Many great mathematicians of the past were preoccupied by numerical analysis, as is
obvious from the names of important algorithms like Newton's method, Lagrange
interpolation polynomial, Gaussian elimination, or Euler's method.
Nowadays numerical analysis forms an integral part in most engineering design.
The need for result validation is therefore vital throughout the design process so that the
analysis technique/methodology can be trusted and designers have confidence in the
computed results.
NYM125
A STOCHASTIC ANALYSIS OF TWO SPECIES PREYPREDATOR MODEL WITH AN OPTIMAL HARVESTING
POLICY OF BOTH PREY AND PREDATOR
M.N.Srinivas
M.A.S. Srinivas
Y.Narasimhulu
School of Advanced Sciences
V I T University, Vellore
Tamilnadu, India
Dept. of Mathematics
JNTUH College of engineering
Hyderabad, Andhra Pradesh, India
Pro vice chancellor
Central University of Orissa
Koraput, Orissa, India
Abstract:The present investigation deals with a prey - predator model incorporating (a)
the predator is provided with an alternative food in addition to the prey, (b) both prey
and predators are harvested under optimal conditions. The model is characterized by a
pair of first order non-linear ordinary differential equations. All the possible
equilibrium points of the model are identified and the criteria for the stability (both
local and global) are discussed .The possibility of existence of bio economic
equilibrium is discussed. The optimal harvesting policy is studied using Pontryagin’s
maximum principle. We provide analytical estimates of the population intensities of
fluctuations by Fourier transform methods
90
NYM 126
PROBABILISTIC
AND
STATISTICAL
COMPUTATIONAL LINGUISTICS
VIEW
OF
Mrs. M. Humera Khanam
Associate Professor, Department of CSE, SV University College of Engineering, Tirupathi,
humera_svce@yahoo.co.in
Abstract:-In this paper we explore the probabilistic and statistical view of Natural
language processing. Natural language processing is a field of computer science and
linguistics concern with the interaction between human and computer. We did some
experiments on statistical Natural language processing. Natural language processing is
not a trivial task because of ambiguity in the languages it becomes a challenging
problem to computers. We designed and develop some tools for Telugu and Urdu
language to resolve the ambiguity at word level and sentence level. At word level we
design and develop some statistical parts of speech tagger to resolves the ambiguity and
at the sentence level we develop some statistical parser to resolve the ambiguities. We
adopted three Statistical POS taggers named as Brill tagger, Maximum Entropy tagger
and Trigram ‘n’ tagger (TnT) to Telugu language and Urdu language and two
Statistical parsers Malt and MST Parsers to Teluguand Urdu language. We compare
their performance with classical approach. Classical approach requires more human
efforts. Finally we concluded that Statistical TnT tagger has showed better accuracy for
Telugu and Urdu languages. We used TnT tagger for assigning the POS tags for
developing the annotated data for parsing. As a result, we developed annotated data for
Telugu and Urdu Language using Paninian framework.
We did some experiments on two data-driven parsers Malt and MST for Telugu
and Urdu language by using this annotated data and compare results of both the parsers.
Finally we concluded that malt parser gives best results for different sentence types in
Telugu and Urdu. We describe the data and parser settings used in detail. Some of these
are specific to either one particular or all the Indian Languages. The average of best
unlabeled attachment, labeled attachment and labeled accuracies for Telugu are
91.12%, 72.03% and 74.71%.For Urdu The overall best labeled accuracy (LA)
achieved 74.48% and 90.14% of unlabeled attachment score (UAS) is achieved
respectively .We are also presented which parser gives best results for different
sentence types in Telugu and Urdu languages.
Keywords: Statistical Natural Language Processing, Statistical POS taggers, Malt
parser, MST parser, Telugu , Urdu.
91
NYM 127
FUZZY TRANSPORTATION PROBLEM USING LINEAR
PROGRAMMING
Y.L.P.Thorani
N.Ravi Shankar
Dept. of Applied Mathematics
GIS, GITAM University
Visakhapatnam, India
Dept. of Applied Mathematics
GIS, GITAM University
Visakhapatnam, India
Abstract:-Transportation models play an important role in logistics and supply chain
management for reducing cost and improving service. In this paper two new fuzzy
transportation linear programming models are developed: one with equality constraints
and other with inequality constraints using L-R fuzzy numbers. The membership
function of L-R fuzzy numbers of fuzzy transportation cost are consider to be linear
and nonlinear. This paper develops a procedure to derive the fuzzy objective value of
the fuzzy transportation problem, in that the cost coefficients and the supply and
demand are L-R fuzzy numbers. The two models are illustrated with an example. The
optimal fuzzy transportation cost for the two models slightly varies when linear
membership functions are equal and the optimal fuzzy transportation cost is same in
case of different membership functions i.e., either linear or nonlinear membership
functions defined on L-R fuzzy numbers. Most of the fuzzy transportation problems
reviewed in literature have the negative optimal fuzzy transportation cost but in our
proposed method, we obtain positive optimal fuzzy transportation cost in all most all
cases.
Keywords: Fuzzy transportation problem; Yager’s ranking index; L-R fuzzy numbers;
linear programming.
NYM 128
APPLICATIONS OF INTEGRATION IN THE REAL WORLD
G. Sreelatha
Assistant Professor
DBS Engineering College, Kavali
T. P V Ajay babu [
EEE 2nd
DBS Engineering College, Kavali
Abstract:-In this paper, we present the various applications of integration in the real or
practical world such as determining the areas, arc lengths or curve lengths, volumes of
the solids of revolution, and area of the surface of revolutions, work required for certain
physical tasks etc.
Key Words: integration, indefinite and definite integrations, decision making, drug
estimation, modeling a body of water etc.
92
NYM 129
OPTIMAL CONTROL OF AN N-POLICY TWO-PHASE MX/EK/1
QUEUEING SYSTEM WITH SERVER STARTUP SUBJECT TO
THE SERVER BREAKDOWNS AND DELAYED REPAIR
V. Vasanta Kumar
vemuri57@rediffmail.com
K.L. University,
Vaddeswaram – 522502,
T. Srinivasa Rao
tsr_2505@rediffmail.com.
Guntur (Dist) , Andhra Pradesh,
B. Srinivasa Kumar
sk_bhavirisetty@yahoo.com
India.
Abstract: This paper investigates the economic behaviour of the two-phase Mx/Ek/1
queueing system with N-policy, server startup time and unreliable server, consisting of
breakdowns and delay periods. The service is in two phases of which the first phase is
batch service provider to all customers waiting in the queue and the second phase is
individual in k exponential phases provider to each customer in the batch. The server is
turned off and takes a vacation whenever the system is empty and turned on when the
total number of customers in the system reaches the threshold N (≥1), and starts
preparatory work before providing the batch service. While the server is working with
any phase of service, it may breakdown at any instant and the service channel will fail
for a short interval of time. There may be delay in repair due to non-availability of the
repairing facility. The startup times, batch service times, individual service times,
breakdown and delay periods are assumed to follow an exponential distribution. The
closed form of expressions for the performance measures of interest is obtained. The
total expected cost function per unit time is developed to determine the optimal
threshold of N at a minimum cost. The sensitivity analysis is presented through
numerical illustration.
Keywords: Two-phase, vacation, breakdowns, N-policy, repair time, delay time, cost
function.
NYM 130
COMPARISON OF HUNGARIAN METHOD AND GENETIC
ALGORITHM METHODS TO FIND THE SHORTEST ROUTE
AND DISTANCE IN SALESMAN PROBLEM.
G.Gopi Krishna
K.V.Suryanarayana Rao
S. Ranganadham
gopikrishnagmsc@gmail.com
VMTW , Hyderbad.
suryam_1968@yahoo.co.in
RGMCET, Nandyal, Kurnool.
ranganadhams@gmail.com
Abstract:-Salesman faces many problems in route selection while travelling. There will
be n! Possible routes for n cities to visit, by passing through each city once before
finally returning to the city of departure. The aim of this problem is to discuss the
methods to find out the shortest route from among these n! Possible routes quickly and
effectively. This paper integrates the Hungarian Method and Genetic Algorithm to find
the shortest distance route and the shortest distance or the approximately shortest
distance route and the shortest distance, and constructs the shortest distance route
system for traveling. The method needs only a personal computer to find the shortest
distance route and its corresponding distance quickly and effectively.
Key Words: Traveling Salesman problem ,Hungarian Method , Genetic Algorithm,
Shortest Distance.
93
NYM 131
A REVIEW ON APPLICATION OF MATHEMATICS IN
ENTERPRISE RESOURCE PLANNING IMPLEMENTATION
RESEARCH
S. Ashok Manikandan
Dr Bh.Nagabhushana Rao
Visiting Faculty & Research Scholar
Department of Civil Engineering
Anna University, C.P.T campus
Taramani, Chennai-600113, India
Former Professor & Research Supervisor,
Department of Civil Engineering,
Anna University, Chennai-600025, India
Abstract: Enterprise Resource Planning (ERP) systems are extensively implemented as
the spinal column of many manufacturing and service firms. This paper brings about
the current state of the art in Enterprise Resource Planning (ERP) implementation
research where in mathematical models are extensively used. Further a wide range of
ERP implementation issues are discussed. This paper presents the critical view of
research in the area of ERP implementation. The various critical success factors (CSS)
and critical failure factors (CFF) in the practice of ERP implementation for different
industries and organizations were also collected from the relevant research papers. This
paper also includes case studies and empirical investigations which are all made by the
past researchers in the area of ERP implementation for different companies in different
countries. In most of the research work in various countries the data were analyzed
using multiple linear regression analysis and Robust Exploratory Factor Analysis
(EFA). In some cases Linear Programming (LP) has used for the selection of suppliers.
Apart from these for finding relationship between CSF and CFF researchers has used
hypothesis testing. The outcomes of this study have delivered a very valuable reference
for researchers and developers to identify various issues in the ERP implementation
research.
NYM 132
MAKING DHCP
NETWORKS
VIABLE
FOR
WIRELESS
SENSOR
Dr. K.Satya Rajesh
Dr. Md. Ali Hussain
Md.Abdul Ahad,
Assoc.Professor,
Dept. of ECM K L University, Guntur,
AP, India.
ksatyarajesh@kluniversity.in
Dept. of ECM
K. L. University, Green Fields,
Vaddeswaram, Guntur(Dt), (A.P).
dralihussain@kluniversity.in
Asst.Professor, Dept of ECM ,
K L University, Guntur,
AP, India
abdulahad@kluniversity.in
Abstract:-The TCP/IP protocol suite, which has proved itself highly successful in wired
networks, is often not suited for wireless micro-sensor networks. Sensor networks
based on DHCP have the advantage of being able to directly communicate with an
infrastructure consisting either of a wired IP network or IP-based wireless technology
such as GPRS. In this paper we focus on Dynamic Host Configuration Protocol
(DHCP) is an auto-configuration protocol used on IP networks. The protocol simplifies
addressing, making it particularly useful in enterprise networks where the volume of
connected devices can be immense. To this end, we identify key requirements to
develop a small device that is representative of the class.
Keywords : TCP/IP, DHCP, GPRS, Sensor Networks.
94
NYM 133
RECENT TRENDS IN MORPHOLOGICAL CELL ANALYSIS
BY IMAGE PROCESSING
S.Ramamurthy
V.SivaramakrishnaReddy
CH. Soma Shekar
GuruNanak Institute of Technology
chillara.somashekar@gmail.com
St. Mary’s College of
Engineering and Technology
sivaramakrishnareddy.v@gmail.com
Abstract: This paper depicts the recent advances in image processing methods of
morphological cell analysis. The morphological analysis has received much attention
with the increasing demands in both bioinformatics and biomedical applications.
Among many factors that affect the diagnosis of a disease, morphological cell analysis
and statistics have made great contributions for a doctor. Morphological cell analysis
finds the cellar shape, cellar regularity, classification, statistics, diagnosis and so forth.
Morphological cell analysis is a key issue for abnormality identification and
classification, early cancer detection and dynamic changes analysis under specific
environmental stress. The quantitative result is reliable and beneficial to pathologists in
making the final diagnosis and also provides fast observation and automated analysis
systems.The scope of this paper is restricted to morphological cell analysis by image
processing in the field of biomedical research. We include the representative samples of
important works and broad trends from recent years.
NYM 134
NON-DARCY CONVECTIVE HEAT AND MASS TRANSFER
FLOW IN VERTICAL CHANNEL WITH TEMPARATURE
DEPENDENT
HEAT
SOURCE,
RADIATION
AND
DISSAPATION
1
Dr.V.Raghavendra Prasad,
Assistant Professor of Mathematics,
G.Pulla ReddyEngineering College (Autonomous)
Kurnool
2
Prof. Dr. U.Rajeswara Rao & Prof. Dr. D.R.V.Prasada Rao
Dept. of Mathematics, S.K.University, Anantapur
Abstract :
In this paper, we make an attempt to study thermo-diffusion effect on nondarcy convective heat and mass transfer flow of a viscous fluid through a porous
medium in a vertical channel with radiation and heat generating sources. The
governing equations of flow, heat and mass transfer are solved by using regular
perturbation method with δ, the porosity parameter as a perturbation parameter. The
velocity, temperature, concentration, shear stress and rate of Heat and Mass transfer are
evaluated numerically for different variations of parameters.
Key Words : Heat and mass transfer, radiation effect and heat generating sources.
95
NYM 135
3D-SUBBAND DISCRETE WAVELET TRANSFORMATION
FOR VIDEO CODING
Shaik. Jumlesha
Dr.Ch.Sathyanarayana
M.e(cse).,(ph.d).,
Associate professor in CSE, Kkcw,puttur,chittore(dt)
ahmedsadhiq@gmail.com. Ph: 09951747705
M.Tech(cse).,Ph.D
Associate Professor in CSE & HOD
Jntu Kakinada, chsatyanarayana@yahoo.com
ph:9177790000
Abstract:-Motion Estimation provides Compression through Temporal redundancy
removal for the video signal. Improvement in reducing the Computations overhead and
achieves very good Peak Signal to Noise Ratio(PSNR) values, which makes the
techniques more efficient than the conventional searching algorithms. Motion
scalability is based on the simple concept that different decoding scenarios require
different Motion Prediction qualities in the optimized Rate Distortion sense .Motion
Estimation is computationally the most complex part that is why it takes most of the
time involved. For a good video system either the speed of the ME algorithm should be
fast or the complexity should be reduced. With the increasing popularity of
technologies such as Internet Streaming video and video conferencing, video
compression has became an essential component of Broadcast and Entertainment
Media. Motion Estimation (ME) and Compression Techniques, which can eliminate
temporal redundancy between adjacent frames effectively, have been widely applied to
popular video Compression Coding Standards such as MPEG-1, MPEG-2 and MPEG-4
and H.261, H.263 and H.264 are the important standards. To reduce the Motion Vector
Overhead in Bidirectional frame prediction. We utilize the K-L Transform to obtain
theoretical performance bounds at high bit-rates and compare to both optimum intraframe coding of individual Motion-Compensated pictures and Single-Hypothesis
Motion-Compensated predictive coding. The error drifting effect introduced from
quantized motion is the first problem to face, followed by the interactive issue with
other scalabilities, the embedded coding of scalable motion, and the Rate Distortion
optimized estimation algorithm for motion parameters.
Key words: ROI, Motion Estimation. PSNR.
NYM 136
SELECTION OF BEST ARMA FOR UNIVERSITIES DATA
P.Ramakrishna Reddy
Research scholar
Department of statistics
SV University, Tirupati-517502
B.Sarojamma
Assistant professor
Department of statistics
SV University, Tirupati-517502
Saroja14397@reddiffmail .com
B.Hari Mallikarjuna Reddy[
Research scholar
Department of statistics
SV University, Tirupati-517502
Abstract: -In early 1970’s George Box and Gwilym Jenkins have produced Auto
Regressive integrated moving Average models (ARIMA) applied to time series
analysis and forecasting models. ARIMA models synonymously abbreviated as box
Jenkin’s model. ARIMA model is generally used for univariate data set. If you ignore
integration in ARIMA then model becomes ARMA model. In this paper we are fitted
six types of ARMA model of different Auto regressions and moving averages. Boxpierce Q statistic and Ljung- Box Q* statistic both these statistics used for testing the
residuals from a forecast model. MSE criterion is used for select a best model to data
among six fitted ARMA models.
96
NYM 137
CHALLENGES IN IMPLIMENTATION OF ICT IN HIGHER
EDUCATION
Dr.G.Omprakasham
Associate Professor, Department of Mathematics
gomprakash_2003@yahoo.com Vasavi College of Engineering, Hyderabad-31, Andhra Pradesh
Abstract: An efficient higher education system is required for overall prosperity of a
nation. The current state of education in Mathematics is problematic in most of the
countries. The higher education in the country is experiencing a major transformation.
At present our country’s GER is 11 % which is much lower than the world’s GER of
23 %. Our 11th 5 year plan has put a target of GER 15 %. The Teachers’ training
plays an important role in the process of learning. The teachers need a proper
orientation to adopt ICT techniques. The ICT has a vital role in enhancing operational
efficiency though it is facing some challenges. The effective internet facility will only
serve the purpose
Key Words:
NYM 138
ICT : Information and Communication Technology
GER : Gross Enrolment Ratio
A 3-TIER ARCHITECTURAL SANCTUARY MODEL FOR
ENTERPRISE DATA IN CLOUD COMPUTING USING NOVEL
AES APPROACH
D.Prathima, P.Venkata Subba Reddy
II M.Tech,SVUCE ,Tirupathi. Assoc.ProfessorSVUCE,Tirupathi
Abstract: Enterprises usually store data in internal storage and install firewalls to
protect against intruders to access the data. They also standardize data access
procedures to prevent insiders to disclose the information without permission. In cloud
computing, the data will be stored in storage provided by service providers. Service
providers must have a viable way to protect their clients’ data, especially to prevent the
data from disclosure by unauthorized insiders. Storing the data in encrypted form is a
common method of information privacy protection. If a cloud system is responsible for
both tasks on storage and encryption/decryption of data, the system administrators may
simultaneously obtain encrypted data and decryption keys. This allows them to access
information without authorization and thus poses a risk to information privacy. This
study proposes a business model for cloud computing based on the concept of
separating the encryption and decryption service from the storage service. Furthermore,
the party responsible for the data storage system must not store data in plaintext, and
the party responsible for data encryption and decryption must delete all data upon the
computation on encryption or decryption is complete. A CRM (Customer Relationship
Management) service is described in this paper as an example to illustrate the proposed
business model. The exemplary service utilizes three cloud systems, including an
encryption and decryption system, a storage system, and a CRM application system.
One service provider operates the encryption and decryption system while other
providers operate the storage and application systems, according to the core concept of
the proposed business model. This paper further includes suggestions for a multi-party
Service-Level Agreement (SLA) suitable for use in the proposed business model.
97
NYM 139
A
DATA-LOG
BASED
CHECK-POINTING
AND
REPLICATION FOR OPTIMAL COMPLEXITY IN GRIDS
S Dilli Babu
Ch.Ramesh Babu
Dr.Ch.D.V Subba Rao
M.Tech Scholar ,
Dept of CSE,SVUCE,
Tirupathi, AP, sdilli@rocketmail.com
Research Scholar, JNTUK.AP
chramesh522@gmail.com
Professor, Dept of
CSE,SVUCE,,SVU Tirupathi,
subbarao_chdv@hotmail.com
Abstract: Grid computing systems are increasingly growing importance in the present
world with advances in the network technology. Grids are composed of many
geographically disturbed resources, each having its own administration domain. Grid
computing involves decentralized heterogeneous, geographically distributed resources that
can work on a job together. Since the resource availability is dynamic in nature, the grid
infrastructure is prone to failure of job lose or delay. So in order to adapt to the failure, fault
tolerant mechanism must be implemented. Commonly used techniques for fault tolerance
are checkpointing and load replication. To have an efficient fault tolerance mechanism this
paper comes up with an optimal checkpointing algorithm based on real-time work load logs
that reduces overhead caused due to checkpointing.
Keywords: Grid Computing, Fault Tolerance, Work load logs
NYM 140
PERFORMANCE EVALUATION OF AODV AND DSR IN MANET
NETWORKS
M. Noothan Kumar
Dr.Ch.D.V Subba Rao
M.Tech Scholar, Dept of CSE, SVUCE, Tirupathi.
noothanb4u@gmail.com
Professor,
Dept of CSE, SVUCE, Tirupathi.
subbarao_chdv@hotmail.com
Abstract : In MANET wireless networks we present a lightweight hierarchical routing model,
Way Point Routing (WPR), in which a number of intermediate nodes on a route are selected
as waypoints and the route is divided into segments by the waypoints. This paper introduces
waypoints, including the source and the destination, run a high-level intersegment routing
protocol, while the nodes on each segment run a low-level intrasegment routing protocol. The
major distinct advantage of our model is that when a node on the route moves out or fails,
instead of discarding the whole original route and discovering a new route from the source to
the destination, only the two waypoint nodes of the broken segment have to find a new
segment. In addition, our model is lightweight because it maintains a hierarchy only for nodes
on active routes. On the other hand, existing hierarchical routing protocols such as CGSR and
ZRP maintain hierarchies for the entire network. In this instantiation of WPR, where we use
DSR as the intersegment routing protocol and AODV as the intrasegment routing protocol.
This instantiation is termed DSR over AODV (DOA) routing protocol. Thus, DSR and
AODV—two well-known on-demand routing protocols for MANETs—are combined into
one hierarchical routing protocol and become two special cases of our protocol. Furthermore,
we present two novel techniques for DOA: one is an efficient loop detection method and the
other is a multitarget route discovery.
Key Terms: Ad hoc networks, routing protocols, scalability, hierarchical, DSR, AODV,
MANET.
98
NYM 141
CASCADE
RELIABILITY
WHEN
STRENGTH
MIXED EXPONENTIAL DISTRIBUTION
T.Sumathi Uma Maheswari
N.Swathi
Department of Mathematics
Kakatiya University, Warangal- 506009
Andhra Pradesh
Email: sumathiuma21@gmail.com
Department of Mathematics
Kakatiya University
Warangal- 506009
Andhra Pradesh
FOLLOWS
Abstract: Cascade reliability model is a special type of Stress- Strength model. The nCascade system is a hierarchical standby redundancy system, where the standby component
taking the place of failed component with decreased value of stress and independently
distributed strength.
In assessing system reliability it is first necessary to define and categorize different
modes of system failures. The individual distributions that are combined to form the mixture
distribution are called mixer components. In this paper it has been discussed that the
reliability of n- cascade system when strength follows mixed exponential distribution and
stress follows exponential distribution.
NYM 142
MASS TRANSFER EFFECTS ON MHD FREE CONVECTION FLOW
THROUGH A POROUS MEDIUM BOUNDED BY AN INCLINED
SURFACE
S.Masthanrao
K.S. Balamurugan
S.V.K. Varma
Department of Mathematics,
RVR & JC College of Engineering, Guntur,
Andhra Pradesh, India
Department of Mathematics,
RVR & JC College of Engineering,
Guntur, Andhra Pradesh, India
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Abstract : An analysis of steady two-dimensional free convection and mass transfer flow of a
viscous incompressible electrically conducting fluid through a porous medium bounded by an
inclined surface with constant suction velocity, constant heat and mass flux in the presence of
uniform magnetic field is presented. The equations governing the fluid flow are solved using
perturbation method and the expressions are obtained for velocity, temperature and
concentration fields. The skin friction coefficient, the rate of heat transfer and the rate of
mass transfer in terms of Nusselt number, Sherwood number at the surface are also presented.
The effects of Grashof number for heat transfer (Gr > 0, corresponds to externally cooled
plate and Gr < 0 specifies condition for externally heated plate), Grashof number for mass
transfer, Schmidt number, Eckert number, Permeability parameter and Magnetic number on
velocity, temperature and concentration profiles as well as on skin friction coefficient,
dimensionless rate of heat transfer and dimensionless rate of mass transfer at the surface are
discussed analytically and shown graphically.
Keywords: Porous medium, free convection, Inclined surface, Heat flux, Mass flux
99
NYM 143
AN
IMPROVED
FREQUENT
PATTERN
ASSOCIATION RULE MINING TECHNIQUE.
TREE
N. Jaya Krishna
N. Usha Rani
M.Tech Scholar, Dept of CSE,SVUCE,
Tirupathi,, e-mail: jaya1238@gmail.com
Assistant Professor
Dept of CSE,SVUCE, Tirupathi, AP,
BASED
100
Abstract: The main of this Paper is discovering association rules among the large number of
item sets. The ever increasing demand of finding pattern from large data enhances the
association rule mining. Researchers developed a lot of algorithms and techniques for
determining association rules. The main problem is the generation of candidate set. In the
existing systems pattern growth (FP-growth) method is the most efficient and won’t generate
any candidate itemset, but there is drawback with FP-growth where it generates number of
Conditional Trees. Hence we proposed a new and improved FP tree, MFI with a table and a
new algorithm for mining association rules. It also provides the frequency of frequent items,
which is used to estimate the desired association rules.
Key Terms: Data Mining, FP-Growth, Conditional Tree.
NYM 144
RINGS WITH ASSOCIATORS IN THE RIGHT NUCLEUS
Dr. C. Jaya Subba Reddy1
D. Prabhakara Reddy2
1
Dept. of Mathematics, S.V.University, Tirupathi.
Abstract:
The associator (x, y, z) is defined by (x, y, z) = (xy) z- x (yz) for all x, y, z in R. The
commutator (x,y) is defined by (x,y) = xy-yx for all x,y in R. The nucleus N of a ring R is
defined as N = {n  R / (n, R, R) = (R, n, R) = (R, R, n) = 0}. i.e., N = Nl  Nm  Nr .A ring
R is said to be simple if whenever A is ideal of R, then either A =R or A = 0.In this paper we
prove that if R is a simple ring with associators in the right nucleus, then R is associative. We
also extend this result to prime and semiprime rings as well.
NYM 145
ADAPTION OF MALT PARSER FOR TELUGU LANGUAGE
Y.Yethish
Mayana Humera Khanam
CSE Department ,SVUCE,S V University
Tirupathi. Ph.No:+91-9490182728
yethishfriend@gmail.com
Associate Professor ,CSE Department
SVUCE,S V University, Tirupathi.
Ph.No: +91-9490923045
humera_svce@yahoo.co.in
Abstract:-In this paper we adapted Malt parser for telugu language sentences. Telugu
language is morphologically rich free-word order language. We did some experiments on
Malt parser.We used the SVM Parts-Of-Speech tagger as it got the better accuracy for telugu
language.The main objective of Part-Of-Speech (POS) Tagging is to uniquely tag a given
word with its part-of-speech,which gives the meaning of the word without any ambiguity.
The POS tagged data given by the SVM tagger is used for developing the annotated data in
Conll format .This annotated data is used for Data Driven Dependency Malt Parser.We
compare the results of Malt parser with gold data.Finally we conclude that Malt parser shows
better accuracy for different sentence types in telugu language.We describe the data and
parser settings used in detail.
Keywords : Malt Parser,POS Tagging,SVM tagger, Telugu language.
NYM 146
EXPLOSURE OF MICRO ELECTROMECHANICAL SYSTEMS
(MEMS) BASED APPLICATIONS
N. Aruna
Asst. Professor,
Department of Science & HumanitiesLakireddy
Balireddy College of Engineering, Mylavaram
M.N. Himabindu
Asst. Professor Dept. of CSEPotti Sriramulu
College of Engg. & TechnologyVijayawada-1
101
Abstract : Over the past two decades, several advances have been made in micro machined
sensors and actuators. These micro sensors are used in almost every possible sensing
modality including temperature, pressure, inertial forces, chemical species, magnetic fields,
radiation etc. At this time, piezoelectric aluminium-nitride-based Film Bulk Acoustic
Resonators (FBAR) have already been successfully commercialized in many applications.
Future innovations and improvements in inertial sensors for navigation, high-frequency
crystal oscillators and filters for wireless applications, micro actuators for RF applications,
chip-scale chemical analysis systems and countless other applications hinge upon the
successful miniaturization of components and integration of piezoelectrics and metals into
these systems. In this paper, a comprehensive study of microelectromechanical systems,
materials, fabrication technology and various applications of MEMS will be explained.
Key words: MEMS, Materials, Fabrication, Sensors and Actuators, Fabrication technology
NYM 147
1
DIFFICULTIES AND CHALLENGES IN BUILDING
DATABASE SYSTEMS
Dr. R. Mahammad Shafi
Professor , E-mail: rmdshafi@gmail.com
Department of MCA, Sree Vidyanikethan Engineering
College, A. Rangampet, Tirupati.
ISTRIBUTED
2
C. Ananda Kumar Reddy
Assistant Professor anandareddychoppa@gmail.com
Department of MCA, Sree Vidyanikethan Engineering
College, A. Rangampet, Tirupati.
Abstract: A Distributed Database (DDB) is formed by a collection of multiple databases
logically inter-related in a Computer Network. Any testing process, when used in DDB
correlates a series of stages for the construction of a DDB project beginning from the ground
and is employed in homogeneous systems. This paper covers number of difficulties that often
challenge the programmers in building DDB Systems. These difficulties are identified as
openness, concurrency, scalability, fault tolerance, latency, global clock, security, and
heterogeneity. In this paper, each issue is presented and is accompanied by the solutions.
Key Areas: Distributed Database System, Openness, Latency, Security, Heterogeneity
102
NYM 148
AN EFFICIENT ALGORITHM FOR DISCOVERING MAXIMUM
FREQUENT ITEM SETS USING FA-DMI APPROACH
P.B.Archana
Dr.A.Rama Mohan Reddy
II M.Tech, SVUCE,TPT.
Professor and Head of CSE, SVUCE,TPT.
Abstract: Max Frequent pattern mining is a essential technology and step in mining
associations rules. Max frequent item sets contain the exact information of all the frequent
itemsets. This paper proposed a fast algorithm for discovering maximuum frequent itemsets
called FA-DMFI which can store attributes association information through scanning
database only once. Then the max frequent itemsets is discovered in the association matrix by
means of the bottom-up and top-down searching strategy. Therefore the algorithm execute
time is reduced remarkably.mExperimental results show its effectiveness and efficiency.
Keywords data mining; association rule; max frequent itemset; information matrix
NYM 149
ON SOME PROPERTIES OF THE RISING SUN FUNCTION
Vajha Srinivasa Kumar
Abstract : This paper studies a few interesting properties of the rising sun function of a
bounded real function defined on a closed and bounded interval on the real line. An operator
on the space of all bounded real functions defined on a closed and bounded interval is
introduced and its properties are investigated.
AMS Subject Classification : 26AXX, 26A48, 26A15, 49JXX
Key words : Rising sun function, Semi-continuity, Darboux continuity, Lower (upper)
semicontinuity, Lower (upper) semi-quasicontinuity, Symmetric continuity, Cliquishness,
Quasicontinuity, Differentiability.
NYM 150
LEFT JORDAN AND LEFT DERIVATIONS ON SEMI PRIME RINGS
Dr. D. Bharathi
Associate , Department of mathematics,
sri venkateswara universit,
Tirupati - 517502
M. Muni Rathnam
Adhoc-Lecturer, Dept of mathematics, R.K.Valley
campus, RGUKT, Idupalapaya, Andhra Pradesh,
INDIA. munirathnam1986@gmail.com
Abstract : In this paper first we prove that for 2-torsion semi prime ring R and let a, b ЄR ,
if for all x Є R the relation holds axb+bxa=0 holds then axb=bxa=0 is fulfilled for all xЄR.
Using this result we prove that ′ :R→R be a Jordan derivation .In this case ′ is a derivation.
103
NYM 151
VAGUE FIELDS AND VAGUE VECTOR SPACES
T.Eswarlal
N. Ramakrishna
Department of Mathematics KL University
Vaddeswaram, Guntur Dist. Andhra Pradesh
India. eswarlal@yahoo.com
Department of Mathematics, Mrs.A.V.N.
College, Visakhapatnam,Andhra Pradesh , India.
nrk8367@yahoo.co.in
Abstract : The notion of vague _elds and vague vector spaces with membership and nonmembership function values taking in unit interval of real num- bers are introduced, which
generalize of the existing notion of fuzzy _eld and fuzzy vector spaces, and studied various
properties.
Keywords:Vague set, , Vague _elds and Vague vector spaces.
Mathematics Subject Classi_cation (2000): 08A72, 20N25, 03E72.
NYM 152
NEW IDENTITY-BASED AGGREGATE SIGNATURE SCHEME
USING BILINEAR PAIRINGS OVER ELLIPTIC CURVES
P. Vasudeva Reddy
Dept. of Engg. Mathematics,
AU. College of Engineering,
Andhra University, Visakhapatnam
P.V.S.S.N. Gopal
Dept. of Engg. Mathematics,
AU. College of Engineering,
Andhra University, Visakhapatnam
K.A.Ajmath
Dept. of GEBHSri Vidhyanikethan
Engineering College A. Rangampet,
Tirupat
Abstract : An aggregate signature scheme is a useful digital signature that supports
aggregation: Given n signatures on n distinct messages from n distinct users, aggregate
signature scheme is possible to aggregate all these signatures into a single signature. This
single signatures, along with n original messages will convince any verifier that the n users
did indeed sign the n original messages respectively (i.e., for i=1, 2, …, n user i signed
message mi ). In this paper we propose a new aggregate signature in the identity based setting
using bilinear pairings over elliptic curves. The proposed scheme requires constant pairing
operations in the verification and the size of aggregate signature is independent of the number
of signers. We also prove that the proposed scheme is secure against existential forgery under
adaptively chosen message and identity attack in the random oracle model with the
assumption that the computational Diffie-Hellman Problem is intractable.
Keywords: Digital signature, Aggregate signature, Bilinear pairings, Identity-based
cryptography, CDH Problem.
104
NYM 153
TIME DEPENDENT PERISTALTIC TRANSPORT IN CURVED
CHANNELS: APPLICATIONS TO GASTROINTESTINAL TRACT
AND SIMILAR PHYSIOLOGICAL SYSTEMS
V. K. Narla & K. M. Prasad
Department of Mathematics GITAM
UniversityHyderabad, India Email:
vknarla@gmail.com
J. V. RamanaMurthy
Department of Mathematics National
Institute of Technology Warangal,
India
P. G. Siddheshwar
Department of Mathematics Bangalore
University Central College Campus,
Bangalore, India
Abstract : Gastrointestinal tract is an interesting part of the human physiological system that
has many physical processes in it coupled with fluid dynamics. It is only possible to capture
certain aspects of the same in a mathematical model with essential gross features of the
system not missed out. The paper presents a generalized mathematical model describing the
time dependent peristaltic flow of a viscous fluid in a two dimensional curved channel subject
to absorption and/or desorption. The flow is investigated in a laboratory frame of reference
and the flow nature is studied by the fact that prescribing volumetric flow rate is equivalent to
prescribing normal velocity of the fluid particles at the wall. The momentum equation has
been linearized by employing lubrication theory and the analysis is restricted to negligible
flow Reynolds number. The expressions for stream function, velocity and pressure
distribution have been derived. The effects of absorption and/or desorption at the wall on
pressure distribution and local wall shear stress with respect to time are observed.
NYM 154
RADIATION AND CHEMICAL REACTION
TRANSIENT MHD FREE CONVECTIVE FLOW
EFFECTS
Dr.V.Sugunamma
N.Sandeep
Associate Professor,
Department of Mathematics, S.V.University,
Tirupati,A.P.,India
Research Scholar,
Department of Mathematics, S.V.University,
Tirupati,A.P.,India
ON
Abstract : This paper analyze the Magneto hydrodynamic, Radiation and chemical reaction
effects on unsteady flow, heat and mass transfer characteristics in a viscous incompressible
and electrically conduction fluid over a semi-infinite vertical porous plate through porous
media. The porous plate is subjected to a transverse variable suction velocity. The transient,
non-linear and coupled governing equations have been solved adopting a perturbative series
expansion about a small parameter, ε. The effects of governing parameters on the flow
variables are discussed graphically.
Keywords: Transient velocity, MHD, Chemical reaction, Radiation.
105
NYM 155
HALL EFFECT ON MHD MIXED CONVECTION FLOW OF A PAST
AN INFINITE VERTICAL POROUS PLATE WITH MASS TRANSFER
AND RADIATION
V.Srinivasa Rao
Anurag of Group of Institutions, Venkatapur (V), Ghatkesr (M), R.R.Dist, Andhra Pradesh.
Email: uhita@yahoo.com
Abstract : An unsteady hydro-magnetic flow of a radiative vertical porous plate has been
studied with mass transfer, taking the effect of Hall currents into account. The resulting
problem has been solved by finite element method and the solutions are obtained for velocity,
temperature and concentration distributions as well as for the shearing stress, rate of heat and
mass transfer at the wall. The influence of the various parameters like Radiation parameter,
Hall parameter, Hartmann number, frequency parameter etc. on the flow field is examined
with the help of figures and tables.
Keywords: Hall Effect, MHD, radiative transfer, mass transfer, finite element method.
NYM 156
HOMOTOPY ANALYSIS METHOD
BOUNDARY VALUE PROBLEMS
T.Hymavathi
W.Sridhar
FOR
EIGHTH
ORDER
P.Vijay Kumar
Department of Mathematics, Adikavi
Nannaya University, Rajamundry
talla.hymavathianur@gmail.com
Abstract : In this paper, homotopy analysis method (HAM) is demonstrated to solve eighth
order boundary value problems. HAM solution contains an auxiliary parameter ‘h’ which
provides a convenient way to control the convergence region of the series solutions.
Numerical examples are given to check the efficiency of the method. Comparisons are made
to confirm the reliability and accuracy of the technique.
Keywords: Boundary value problem, Series solution, Error estimate, Homotopy Analysis
Method.
NYM 157
FULLY DEVELOPED FREE CONVECTIVE FLOW OF A JEFFREY
FLUID IN A CIRCULAR PIPE
E. Sudhakara
S.Sreenadh
P. Madhu Mohan Reddy
Department of mathematics,
sri venkateswara universit,
Tirupati - 517502
Department of mathematics,
sri venkateswara university
Tirupati – 517502
Department of mathematics,
sri venkateswara university
Tirupati - 517502
Abstract : Free convection flow of a Jeffrey fluid in a circular pipe has been investigated.
Using non-linear density temperature (NDT) relationship, the expressions for the velocity
field, the temperature distribution and the Nusselt number are obtained. It is observed that the
velocity increases with increasing  whereas the temperature decreases with increasing  .
The results have been compared with the corresponding cases of linear and quadratic density
temperature variations. The Nusselt number has also been plotted against the free convection
parameter K for various values of  and it is observed that the Nusselt number increases with
increasing K.
106
NYM 158
THE EFFECTS OF INDUCED MAGNETIC FIELD AND RADIATION
ON MHD MIXED CONVECTION FLOW OVER A POROUS
VERTICAL PLATE WITH A CHEMICAL REACTION IN THE
PRESENCE OF TEMPERATURE GRADIENT HEAT SOURCE
A.G. Vijaya Kumar
S.V.K. Varma
K.S. Balamurugan
Department of Mathematics,
Sree Vidyanikethan Engineering
College (Autonomous) A.
Rangampet , Tirupati, A.P, INDIA.
agvijaykumar1729@gmail.com
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
svijayakumarvarma@yahoo.co.in
Department of Mathematics, R.V.R and
J.C. College of Engineering,
Chowdavaram, Guntur, A.P, INDIA
Email: muruganbalaks@gmail.com
Abstract : This work is focused on the study of MHD mixed convection radiative heat and
mass transfer flow of a steady, viscous, incompressible, electrically-conducting Newtonian
fluid which is an optically thin gray gas over a porous vertical infinite plate in the presence of
first order chemical reaction and temperature gradient heat source taking into account the
induced magnetic field with a magnetic Prandtl number. The governing equations for this
investigation are formulated and solved using perturbation technique. Non-dimensional
velocity, temperature, concentration, induced magnetic field and skin-friction are discussed
through graphs for different values of parameters entering into the problem.
Key-words: MHD, Magnetic Prandtl number, Induced magnetic field, Heat and mass
transfer, Mixed convection, Chemical reaction.
NYM 159
THERMAL RADIATION EFFECTS ON MHD BOUNDARY LAYER
SLIP FLOW PAST A PERMEABLE EXPONENTIAL STRETCHING
SHEET IN THE PRESENCE OF JOULE HEATING AND VISCOUS
DISSIPATION
P. Sreenivasulu
N. Bhaskar Reddy
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Department of Mathematics, S.V.University,
Tirupati,A.P.,India
Abstract : An analysis of the thermal radiation effects on MHD boundary layer flow past a
permeable exponential stretching surface in the presence of Joule heating and viscous
dissipation is presented. Velocity and thermal slips are considered instead of no-slip
conditions at the boundary. Stretching velocity and wall temperature are assumed to have
specific exponential function forms. The governing system of partial differential equations is
transformed into a system of ordinary differential equations using similarity transformations
and then solved numerically using the Runge-Kutta fourth order technique along with
shooting method. The effects of the various parameters on the velocity, shear stress,
temperature and temperature gradient profiles are illustrated graphically and discussed in
detail.
Keywords: MHD, Thermal radiation, Viscous dissipation, Boundary layer flow, Joule
heating, Exponentially stretching surface.
107
NYM 160
ANALYSIS OF HEAT AND CHEMICAL REACTION ON AN
ASYMMETRIC
LAMINAR
FLOW
BETWEEN
SLOWLY
EXPANDING OR CONTRACTING WALLS
A. Subramanyam Reddy
S. Srinivas
T.R. Ramamohan
Fluid Dynamics Division, School of
Advanced Sciences, VIT University
Vellore, India
Fluid Dynamics Division, School of
Advanced Sciences, VIT University
Vellore, India
C-MMACS (CSIR), NAL Belur
campus, Wind Tunnel Road
Bangalore-560 037, India.
Abstract : The present study investigates the effects of heat and mass transfer on asymmetric
laminar flow in a porous channel with expanding or contracting walls in the presence of a
chemical reaction. Both walls are assumed to have different permeabilities and expand or
contract uniformly at a time dependent rate. The governing equations are reduced to ordinary
differential equations by using similarity transformation. A perturbation technique in the
permeation Reynolds number and wall dilation ratio is employed to obtain the analytical
solutions. The effects of various emerging parameters on flow variables have been discussed
numerically and explained graphically.
NYM 161
ROBUST REGRESSION MODEL FOR PREDICTION OF RAINFALL
FLOW TIME SERIES
1
2
3
4
Dr.SK.Khadar Babu , Dr.M.V.Ramanaiah , Dr.P.Bala Siddamuni , B.Rajesh Anand D.V.Ramana
1, Asst.Professor(senior),Statistics and Operations Research Division,SAS,VIT University,Vellore.
2,3,4, Department of statistics, Sri Venkateswara University,Tiruparti,
5, Research Scholar, Department of Mathematics,Sri Venkateswara University,Tirupati.
5
Abstract: In this paper, we propose robust regression model for synthetic generation of
rainfall flow/wind speed time series. But, here we are taking the rainfall flow time series data
from a meteorological station at Vellore in Tamil Nadu and generate the data using the above
regression model. It is also useful to obtain the future predictions for various atmospheric
conditions.The main statistical properties used for these purpose are mean, standard deviation
,auto correlation functions and regressions models.
Keywords:Rain-fall flow, Auto correlation functions(ACF), Applied Regression Models.
NYM 162
SORET AND DUFOUR EFFECTS ON MHD BOUNDARY LAYER
FLOW OF A CHEMICALLY REACTING FLUID PAST A MOVING
VERTICAL PLATE WITH VISCOUS DISSIPATION
M.Prasanna Lakshmi
N. Bhaskar Reddy
E.Manjoolatha
Department of Mathematics,
Sri Venkateswara universit,
Tirupati - 517502
Department of Mathematics,
Sri Venkateswara University
Tirupati – 517502
Department of Mathematics,
Sri Venkateswara University
Tirupati - 517502
Abstract : This paper investigates the Soret and Dufour effects on a steady free convection
boundary layer flow of a viscous, incompressible electrically conducting and chemically
reacting fluid past a low-heat-resistant sheet moving vertically downwards, by taking viscous
dissipation into account. The governing equations are transformed by using similarity
transformation and the resultant dimensionless equations are solved numerically using the
Runge-Kutta method with shooting technique. The effects of various governing parameters
on the velocity, temperature, concentration, skin-friction coefficient, Nusselt number and
Sherwood number are computed and shown in figures and tables.
NYM 163
RADIATION EFFECTS ON MHD FREE CONVECTION FLOW PAST
A VERTICAL PLATE EMBEDDED IN A POROUS MEDIUM WITH
CROSS-DIFFUSION AND VISCOUS DISSIPATION
108
M.Prasanna Lakshmi
Department of mathematics,
Sri Venkateswara University,
Tirupati - 517502
N. Bhaskar Reddy
Department of mathematics,
Sri Venkateswara University,
Tirupati – 517502
T.Poornima
Department of mathematics,
Sri Venkateswara University,
Tirupati - 517502
Abstract : In this paper an analysis for the radiation effects on MHD free convective flow of a
viscous incompressible fluid past a vertical semi infinite plate embedded in a porous medium,
in the presence of cross-diffusion and viscous dissipation, is presented. Similarity
transformation is employed to convert the governing partial differential equations into
ordinary differential equations. The resultant non-linear equations are then solved
numerically using Runge-Kutta method along with shooting technique. The effects of various
governing parameters on the velocity, temperature, concentration, skin-friction coefficient,
Nusselt number and Sherwood number are shown in figures and tables and discussed in
detail.
NYM 164
PERISTALTIC FLOW OF A WILLIAMSON FLUID IN A POROUS
CHANNEL WITH SUCTION AND INJECTION
P. Hari Prabakaran
S.Sreenadh
Department of Mathematics
Sreenivasa Institute of Technology and Management Studies
Chittoor-517 127, A.P, India
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Abstract : The Peristaltic transport of a Williamson fluid in a porous channel with suction
and injection is investigated. A perturbation technique in terms of small Wessienberg number
has been carried out to determine the expressions for the velocity, the stream function, the
pressure rise and the friction force under the long wavelength and low Reynolds number
assumptions. The effects of different parameters on the pumping characteristics and frictional
forces are discussed graphically.
NYM 165
PERISTALTIC TRANSPORT OF A JEFFREY FLUID IN CONTACT
WITH A NEWTONIAN FLUID IN AN INCLINED CHANNEL
A.Kavitha
S.Sreenadh
School of Advanced Sciences
VIT University, Vellore-632014
Tamil Nadu, India
Department of Mathematics,
S.V.University,
Tirupati,A.P.,India
Abstract : The peristaltic pumping of a Jeffrey fluid in contact with a Newtonian fluid in an
inclined channel is investigated under long wave length and low Reynolds number
assumptions. The channel in inclined at angle of β with the horizontal. This model may be
useful to understand the peristaltic pumping of blood in small vessels. The velocity field, the
stream function and the pressure rise over one cycle of wavelength are determined.
109
NYM 166
UNSTEADY CONVECTIVE HEAT TRANSFER FLOW OF A
VISCOUS FLUID THROUGH A POROUS MEDIUM IN A
VERTICAL CHANNEL WITH
TRAVELING THERMAL WAVE
AND QUADRATIC DENSITY-TEMPERATURE VARIATION
M.Siva Sankara Reddy
Kamrunnisa Begum
Assistant Professor, Dept. of Basic Sciences
G.Pulla Reddy Engineering College
(Autonomous), Kurnool, Andhra Pradesh, India.
Email: msreddy.atp@gmail.com
Lecturer in Mathematics,
APSWRS Jr. College, Zaffergadh,
Andhra Pradesh, India.
Abstract : In this paper we make an investigate the effect of quadratic density-temperature
variation on unsteady convective heat transfer through a porous medium in a vertical channel
on whose walls a traveling thermal wave in imposed-in the presence of the heat sources. The
equations governing the flow and heat transfer which are non-linear and coupled have been
solved by applying a regular perturbation technique with the aspect ratio  as a perturbation
parameter. The velocity and temperature are analyzed for different variations of the governed
parameters G, D-1, R, 1 and x + t. The rate of heat and mass transfer has been evaluated for
different variations.
Key Words: Viscous Fluid, Porous Medium, Quadratic Density, Convective Heat Transfer,
Traveling Thermal Wave.
NYM 167
INFLUENCE OF SLIP, HEAT AND MASS TRANSFER ON MHD
PERISTALTIC FLOW OF A HYPERBOLIC TANGENT FLUID IN A
NON-UNIFORM CHANNEL WITH WALL PROPERTIES
R. Saravana
S.Sreenadh
S. Venkataramana
Department of Mathematics, Sreenivasa
Institute of Technology and Management
Studies, Chittoor 517127, India.
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Department of Mathematics,
S.V.University,
Tirupati,A.P.,India
Abstract : The influence of slip conditions and wall properties on the MHD peristaltic
transport of a hyperbolic tangent fluid in a non-uniform channel with heat and mass transfer
is investigated under long wavelength and low Reynolds number assumptions. The non-linear
governing equations are solved using regular perturbation technique for a small Weissenberg
number. The expressions for the stream function, velocity, temperature, concentration and the
co-efficient of heat transfer are determined. The effects of various parameters in the obtained
solutions are discussed by plotting graphs. The trapping phenomenon is also analyzed. It is
noticed that the size of the trapping bolus increases with increasing the velocity slip
parameter.
110
NYM 168
PERISTALTIC MOTION OF A FOURTH GRADE FLUID IN A
POROUS CHANNEL WITH SUCTION AND INJECTION
R. Hemadri Reddy
P. Hari Prabakaran
S.Sreenadh
School of Advanced Sciences
VIT University, Vellore-632014
Tamil Nadu, India
Department of Mathematics
Sreenivasa Institute of Technology and
Management Studies Chittoor-517 127,
A.P, India
Department of Mathematics,
S.V.University,
Tirupati,A.P.,India
Abstract : The Peristaltic transport of a fourth grade fluid in a porous channel with suction
and injection is investigated. A perturbation technique in terms of small Deborah number has
been carried out to determine the expressions for the velocity, the stream function, the
pressure rise and friction force under long wavelength and low Reynolds number
assumptions. The effects of different parameters on the pumping characteristics and frictional
forces are discussed graphically.
NYM 169
RADIATION ABSORPTION AND CHEMICAL REACTION EFFECTS
ON MHD FREE CONVECTION FLOW PAST A VERTICAL POROUS
PLATE IN A SLIP FLOW REGIME
K. Gopal Reddy
K.S. Balamurugan
S.V.K. Varma
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
kallurugopalreddy009@gmail.com
Department of Mathematics, RVR &
JC College of Engineering, Guntur,
Andhra Pradesh, India
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Abstract : The objective of this study is to investigate radiation absorption and chemical
reaction effects on unsteady hydromagnetic free convection flow of a viscous,
incompressible, electrically conducting fluid with heat and mass transfer past a moving
porous vertical plate of infinite length with time dependent suction in the presence of heat
source in a slip flow regime. Slip flow conditions for the velocity and jump in temperature
are taken into account in the boundary conditions. A uniform transverse magnetic field is
applied. The free stream velocity is considered to follow an exponentially small perturbation
law. The dimensionless governing equations are solved analytically using the perturbation
method and solutions for velocity, temperature and concentration are obtained. Further, the
results of the skin friction coefficient and dimensionless rate of heat and mass transfer at the
plate are also presented. The effects of various physical parameters over the velocity,
temperature and concentration distribution as well as on skin friction coefficient,
dimensionless rate of heat transfer and dimensionless rate of mass transfer at the plate are
shown through graphs.
Keywords: Free convection, Slip flow, Perturbation method, Chemical Reaction, Radiation
absorption
111
NYM 170
NUMERICAL ANALYSIS OF FREE CONVECTIVE HEAT AND
MASS TRANSFER IN VISCOELASTIC FLOW ALONG A VERTICAL
CONE
S. Gouse Mohiddin
V. R. Prasad
Department
of
Mathematics,
Madanapalle Institute of Technology and
Science, Madanapalle- 517325, India
S.V.K. Varma
O. Anwar Bég
Department of
Mathematics,
S.V.University,
Tirupati,A.P.,India
Biomechanics and Biotechnology Research,
Aerospace Engineering Program, Mechanical
Engineering Subject Group, Sheaf Building,
Sheffield Hallam University, Sheffield, S1 1WB,
UK, England, UK Email: gousemaths@gmail.com
Abstract : A numerical study for the free convective, unsteady, laminar convective heat and
mass transfer in a viscoelastic fluid along a vertical cone is presented. The Walters-B liquid
model is employed to simulate medical creams and other rheological liquids encountered in
biotechnology and chemical engineering.
This rheological model introduces supplementary terms into the momentum
conservation equation. The dimensionless unsteady, coupled and non-linear partial
differential conservation equations for the boundary layer regime are solved by the finite
difference scheme of Crank-Nicolson type. The velocity, temperature and concentration
fields have been studied for the effect of viscoelasticity parameter, Prandtl number (Pr),
Schmidt number (Sc), buoyancy ratio parameter (N) and semi vertical cone angle. The local
skin-friction, Nusselt number and Sherwood number are also presented and analyzed
graphically. It is observed that, when the viscoelasticity parameter increases, the velocity
increases close to the cone surface. An increase in Schmidt number is observed to
significantly decrease both velocity and concentration. The present results are compared with
available results in literature and are found to be in good agreement.
NYM 171
THE EFFECTS OF MAGNETIC FIELD ON UNSTEADY MICROPOLAR FLUID THROUGH POROUS MEDIUM IN AN STOKE’S
SECOND PROBLEM
B. Reddappa
Prof. K. Ramakrishna Prasad,
Assistant Professor of Mathematics,
Department of GEBH,
Sree Vidyanikethan Engineering
College,A.Rangampet, Tirupati, A.P, INDIA
Department of Mathematics,
S.V.University,Tirupati, A.P, INDIA.
Abstract : An investigation is carried out to study the effects of Magnetic field on unsteady
one-dimensional, laminar, incompressible micropolar fluid past a vertical flat plate through
porous medium in the xy-plane and occupy the space z  0 , with z -axis in the vertical
direction. A uniform magnetic field B0 is applied transverse direction to the flow. It is
assumed that the transversely applied magnetic field and magnetic Reynolds number are very
small and hence the induced magnetic field is negligible as in Cowling (1971). The plate
initially at rest and at constant temperature   which is the free stream temperature is moved
with a velocity U 0eit in its own plane along the z-axis, and its temperature is subjected to a
periodic heating of the form (  -   ) eit , where    is some constant.
112
NYM 172
MAGNETOHYDRODYNAMIC CONVECTIVE FLOW AND HEAT
TRANSFER OF A VISCOUS HEAT GENERATING FLUID
THROUGH A RECTANGULAR DUCT
Dr S.Eswaraiah Setty,
Dr S.Sivaiah
Dr DRV Prasada Rao
Reader in MathematicsSmt.GS
College,Jaggaiah Pet,Krishna Dist
Professor & PrincipalMalla
Reddy PG
College,Secunderabad-014
Rtd Professor of mathematicsSK
University,Anantapur
Abstract : In this Paper, We analyze the steady flow and heat transfer of a viscous heat
generating electrically conducting fluid through a rectangular vertical duct under a transverse
magnetic field. The dissipative terms are taken into account in the energy equation. The
equation for the velocity and induced magnetic field are suitably coupled. The walls of the
duct normal to the direction of the applied magnetic field are thermally insulated and those
parallel to the field are maintained at constant temperature. The Galerkin finite element
method with eight noded serendipity elements is used to obtain the velocity, the temperature,
the induced magnetic field, the shear stresses, the Nusselt Number, Their behavior is
discussed for variations in the governing parameters.
Key words: Viscous incompressible fluid, Rectangular Channel, Viscous Dissipations,
Galerkin FEM
NYM 173
STEADY FORCED CONVECTIVE FLOW OF A VISCOUS LIQUID
OF FINITE DEPTH IN A POROUS MEDIUM OVER A FIXED
HORIZONTAL IMPERMEABLE BOTTOM WITH A UNIFORMLY
DISTRIBUTED CONSTANT HEAT SOURCE IN THE FLOW REGION
K.Moinuddin,
Faculty of Mathematics,
Maulana Azad Nation Urdu
University,Hyd.
Mohammad Ameenuddin
Faculty of Mathematics,
Anwarul Uloom Degree
College, Mallepally,Hyd
Prof.N.Ch.PattabhiRamacharyulu
Former Faculty of Mathematics ,
NIT Warangal,AndhraPradesh
Abstract : This paper deals with a steady forced convective flow of a viscous fluid of finite
depth in a porous medium over a fixed horizontal, impermeable bottom with a uniformly
distributed constant heat source in the flow region. Exact solutions of Momentum and Energy
equations are obtained when the temperatures on the fixed bottom and on the free surface are
prescribed. Flow rate ,Mean velocity , Temperature , Mean Temperature , Mean Mixed
Temperature in the flow region and the Nusselt number on the boundaries have been
obtained. The cases of large and small values of porosity coefficient have been obtained as
limiting cases.
Keywords: porous medium , velocity, flow rate , temperature, mean mixed temperature,
nusselt number, porosity parameter.
113
G.VIDYASAGAR
In then present paper we consider a convective heat and mass transfer in a porous
medium of an incompressible viscous conducting fluid over a permeable stretching surface
with suction and internal heat generation/absorption. Using a similarity transformation the
governing equations of the problem are converted into simultaneous linear differential
equations of first order. The governing boundary layer equations are solved numerically by
using shooting technique. In order to further study the behavior of the non linear differential
equations for various values of the physical parameters. The numerical results to bring out the
effects of the Grashof number, modified Grashof number, suction parameter, porosity
parameter, heat generation/absorption, stretching parameter, Prandtl number and Schmidt
number. The effectiveness of porosity on stagnation point flow towards a stretching surface
with heat generation/absorption Key Words: Magnetic field, Porous medium, Stagnation
point flow, Permeable stretching surface, Heat generation/ absorption, Heat and Mass
transfer.
NYM 174
EFFECTS OF RADIATION ABSORPTION AND ALIGNED
MAGENTIC FIELD ON UNSTEADY CONVECTIVE FLOW ALONG
A VERTICAL POROUS PLATE WITH VARIABLE TEMPERATURE
AND CONCENTRATION
V. Manjulatha
S.V.K. Varma
Department of Mathematics, Noble college,
Machilipatnam, Andhra Pradesh,
ndiavmanjulatha.ml@gmail.com
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Abstract : In this article, an analysis is carried out to study the effects of aligned magnetic
field, radiation absorption and viscous dissipation on the magneto hydrodynamic unsteady
convective heat and mass transfer flow of a viscous incompressible electrically conducting
and heat absorbing fluid along a vertical porous plate embedded in a porous medium with
variable temperature and concentration. Approximate solutions for velocity, temperature and
concentration are obtained by solving the governing equations of the flow field using multi
parameter perturbation technique. The expressions for the skin friction at the plate in the
direction of the main flow, the rate of heat transfer and masstransfer from the plate to the
fluid are derived in non-dimensional form.
The effects of various flow parameters affecting the flow field are discussed. It is
found that with an increasing Schmidt number the concentration and velocity profiles
decrease whereas the temperature profile increases with respect to the heat source and φ heat
sink parameters. A growing magnetic field parameter or Prandtl number or angle retards the
velocity and temperature of the flow field while the Grashof number for heat transfer or
Grashof number for mass transfer or permeability parameter or viscous dissipation reverses
the effect with respect to the heat source parameter and heat sink parameter.
Keywords: Radiation absorption, porous medium, viscous dissipation, heat source/sink,
suction.
114
NYM 175
CLIQUE DOMINATING SETS OF EULER TOTIENT CAYLEY
GRAPHS
M.Manjuri and B.Maheswari
Department of Applied Mathematics, Sri Padmavati Women’s University, Tirupati,
Andhra Pradesh, India.
manjuri.marri@gmail.com, maherahul.55@gmail.com
ABSTRACT
Graph Theory has been realized as one of the most flourishing branches of modern
Mathematics finding widest applications in all most all branches of Sciences, Social Sciences,
Engineering, Computer Science, etc. Number Theory is one of the oldest branches of
Mathematics, which inherited rich contributions from almost all greatest mathematicians,
ancient and modern. Using the number theoretic function Euler totient function we have
defined an Euler totient Cayley graph and in this paper we study the Clique domination
parameters of Euler totient Cayley graphs.
Keywords: Cayley Graph, Clique, Complete graph, Dominating clique, Euler totient Cayley
Graph
NYM 176
PHYLOGENETIC TREES IN BIOINFORMATICS
V. Manjula
Basic Engineering Department, DVR& Dr. HS MIC College of Technology, Kanchikacherla
manju_adiraju@yahoo.co.in
Abstract : This paper describes graph theoretical application in Bioinformatics.
Bioinformatics is a new discipline and it has become an important and integral part of life
science courses now a days. Bioinformatics Provides essential analysis of life at molecular
level, its structure and function are regulation of gene expansion from huge database.
Phylogenetic relationships can be represented by trees. A tree can is a particular kind of graph
and a graph is a structure containing nodes connected by edges. Phylogenetic analysis of
nucleic acid and protein sequence is an important area and Phylogenetic tree is an important
graphical tool to analyze the changes that have occurred in the evolution of different
organisms. Phylogenetic analysis may also be used to follow the changes occurring in rapidly
changing species such as virus etc. The evolutionary relationships among the sequences can
be depicted by ploting sequences as outer branch of tree and branch relationships as the inner
part of the tree.The resulting relationships from phylogenetic/claudistic analysis are most
commonly represented by Phylogenetic trees.
Objective: Phylogenetic analysis can be used to discover all of branching relationships in the
tree and the branch lengths.
Important findings:
1. Phylogenetic trees are branching diagrams that represent possible evolutionary
pathways
2. Phylogenetic trees can be used to find out the evolutionary history of taxa and how
they are related to each other.
Motivation and method of solution The comprehensive outlook of present work is
focused on Graph Applications to Bio –Informatics. Concepts and notations are from
prescribed text books.
115
NYM 177
IMPROVED UPPER BOUNDS FOR SOME OF THE RADIO KCHROMATIC NUMBER OF PATHS
Srinivasa Rao Kola
Pratima Panigrahi
Department of Mathematics
Rajiv Gandhi University of Knowledge Technologies
Hyderabad 500032, India
Department of Mathematics
Indian Institute of Technology Kharagpur
Kharagpur 721302, India
Abstract : Radio coloring is a variation of channel assignment problem discussed by Hale in
1980. For any simple connected graph G with diameter d and an integer k, 1 ≤ k ≤ d, a radio
k-coloring is an assignment f of positive integers to the vertices of G such that |f(u)−f(v)| ≥
1+k −d(u; v), where u and v are any two distinct vertices of G and d(u; v) is the distance
between u and v. The maximum
color (positive integer) assigned by f to some vertex of G is called the span of f. The
minimum of spans of all possible radio k-colorings of G is called the radio k-chromatic
number of G, denoted by rck(G). For any path Pn of order n and for any integer k, 1 ≤ k ≤ n −
1, Chartrand et al. have given an upper bound for the radio k-chromatic number of Pn as
k 2  2k  1
k 2  2k  2
when k is odd and
when k is even. For k = n − 1, n − 2, n − 3, and n
2
2
− 4 (n odd) the exact values of the radio k-chromatic numbers have been determined. Here
we improve the upper bound of rck(Pn) for every k ≥ 7 and k + 4 ≤ n ≤
radio k-colorings for Pk+s, 4 ≤ s ≤
3k  1
by defining
2
k 1
Moreover, for fixed k the improvement of the upper
2
bound of rck(Pn) is different for different values of n.
NYM 178
COMPLEMENTARY TREE VERTEX EDGE DOMINATION
S.V. Siva Rama Raju
I.H. Nagaraja Rao
Department of Mathematics
M.V.G.R. College of Engineering
Vizianagaram, India
shivram2006@yahoo.co.in
G.V.P. College for P.G. Courses
Visakhapatnam, India
ihnrao@yahoo.com
Abstract : The concept of complementary tree vertex edge dominating set(ctved- set) of a
_nite, connected graph G is introduced and characterization result for a non empty proper
subset of the vertex set V of G to be a ctved-set is obtained. The minimum cardinality of a
ctved-set is de- noted by ctve(G) and is called as ctved number of G. Bounds for this
parameter as well, are obtained. Further, the graphs of order n for which the ctved numbers
are 1; 2; n − 1 are characterized. Trees hav- ing ctved − numbers n − 2; n − 3 are also
characterized. Exact values of this parameter for some standard graphs are given.
116
NYM 179
A RESULT ON HAMILTONIAN AND MEDIAN GRAPHS
S. Venu Madhava Sarma
Assistant Professor of Mathematics
K.L. University, Vaddeswaram
E-mail: svm190675@gmail.com
N.B.V.Prasad
Department of Mechanical Engineering
K.L. University, Vaddeswaram
E-mail: prasadnbv_css@kluniversity.in
Abstract : In this paper we discuss about Hamiltonian graphs, , Median graphs and obtained a
result on Hamiltonian and median graphs.
Key words: Graph, Hamiltonian path, inference graph, median graph.
NYM 180
THE SZEGED INDEX OF TENSOR PRODUCT GRAPHS
K.V.S.Sarma
I.H. Nagaraja Rao
Associate Professor
Regency Institute of Technology
Yanam
Sr.Professor & Director
G.V.P. College for P.G. Courses
Visakhapatnam, India
ihnrao@yahoo.com
Abstract : Here under, by a graph we mean a non-empty, connected and simple graph.
Chemical graphs are just graph-based descriptions of molecules with vertices representing
the atoms and edges representing the bonds. A numerical invariant associated with a
chemical graph is known as topological Index. The Wiener Index is the first topological
index introduced by the chemist Harold Wiener for investigating boiling points of alkanes.
A recently introduced one is “Szeged Index” of a graph and it has considerable applications
in molecular chemistry.
In this paper the Szeged indices related to the tensor product of standard graphs
namely Km  Kn, Km  Cn, Km  P3 and Km  P4 are calculated.
NYM 181
ASYMPTOTIC CONES
Dr. Dhananjaya Reddy1
1Dept.
Dr. C. Jaya Subba Reddy 2
of Mathematics, Govt. Degree College, Kodur (Rly), Kadapa (dist).
2 Dept.of Mathematics, S.V.University, Tirupathi.
Abstract:
The asymptotic cone of (X, x0, d) relative to the ultrafilter  is defined by:
1 

Cone ( X , x0 )    lim  X i , x0 , d  when it is not a source of confusion we tend to suppress
i
i 

writing the base-point. Also when the choice of ultrafilter is unimportant we simply refer to
the asymptotic cone of X and use the notation Cone X. In this paper we prove that let G be
a finitely generated group. If G has a polynomial growth then every asymptotic cone of G is
locally compact.
117
NYM 182
EXPERIMENTING WITH THE IDENTITY (XY) Z = Y (ZX)
Dr. C. Jaya Subba Reddy1
T. Mahesh Kumar 2
K. Hemavathi 3
1
Assistant Professor,Department of Mathematics, S.V.University Tirupathi. .
e-mail:cjsreddysvu@gmail.com
2,3
Research scholars,Department of Mathematics, S.V.University, Tirupathi
Abstract : A non-empty set G together with a binary operation is called a quasi group or
groupoid.We knows that a groupoid is a nonempty set with a single binary operation. For a
positive integer k, we say that a groupoid is k-nice if the product of any k elements is the
same, regardless of their association or order. With this, commutativity is then equivalent to
being 2-nice. A groupoid is commutative and associative if and only if it is both 2-nice and 3nice. In this paper we show that groupoids satisfying identity (xy)z = y(zx) are k-nice for
each k  5. Also we see that this yields the corollary that any semiprime ring satisfying (xy)z
= y(zx) must be commutative and associative.
NYM 183
EFFECTS OF HALL CURRENTS ON HYDROMAGNETIC FLOW OF
AN IONIZED GAS BETWEEN PARALLEL POROUS WALLS
THROUGH A POROUS MEDIUM
A.RamaDevi1, S.Sreenadh2* and V.RameshBabu3
1,3 Department
of Mathematics, S.V.Arts College, Tirupati -517502,
of Mathematics, Sri Venkateswara University,
Tirupati - 517502, India.
E-mail: drsreenadh@yahoomail.com
2Department
Abstract : Hall effects on the hydromagnetic flow of an ionized gas between two parallel
conducting porous walls through porous medium have been studied. The analytical solution
has been derived for velocity distribution. The effects of the various parameters on primary
and secondary velocity distributions are presented graphically in both fully and partially
ionized gases. It is observed that the primary velocity and the magnitude of the secondary
velocity increase with an increase in Hall parameter m and Darcy number Da. It is also
observed that both the primary and the secondary velocities decrease with an increase in
Hartmann number M and Suction Reynolds number λ.
Keywords: Hall Currents, Porous Wall, Ionized Gas, Porous Medium
118
NYM 184
CONTRACTIVE MODULUS AND COMMON FIXED POINT FOR
THREE ASYMPTOTICALLY REGULAR
AND WEAKLY
COMPATIBLE SELF-MAPS
Swatmaram
T. Phaneendra
ChaitanyaBharathi Institute of Technology,
Hyderabad-500075, Andhra Pradesh State, India,
e-mail: ramuswatma@yahoo.com,
Applied Analysis Division, School of Advanced Sciences,
VIT University, Vellore-632014, Tamil Nadu State, India,
e-mail: drtp.indra@gmail.com
Abstract : Let X be a metric space and A, S and T, self-maps on X. Given x0  X , if there are
points x1, x2, x3,... in X such that Sx2n–2 = Ax2n–1, Tx2n–1 = Ax2n for n  1 , then sequence  Axnn1
defines a sequential (S,T)-orbit or simply an orbit at x0 with respect to A. The space X
isorbitallycomplete at x0 if every Cauchy sequence in some orbit at x0 converges in X. The
pair(S, T) is asymptotically regular at x0 relative A if there is an (S, T)-orbit such that
Suppose
that
S(X)
A(X)
and
T(X)
A(X)
and
lim d ( Axn , Axn  1)  0 .
n
d(Sx,Sy)(max{d(Sx,Sy), d(Ax,Ay), d(Ax,Sx), d(Ay,Ty), d(Ax,Ty), d(Ay,Sx)}) for allx, y
X , where  is a non decreasing upper semi continuous contractive modulus with (0)  0
and (t)  t whenever t  0 . Given x0  X , if (S, T) is asymptotically regular at x0 with respect
to A and one ofA(X), S(X) and T(X) is an orbitally complete subspace ofXat x0, we prove
that A, S and T have a unique common fixed point, provided (S , A) or (T , A) is weakly
compatible. Our result generalizes the results of Singh and Mishra, and the second author.
Key words: Orbit, Asymptotic Regularity, Weakly Compatible self-maps.
NYM 185
MATHEMATICAL APPLICATIONS OF HUBBLE VOLUME IN
PARTICLE COSMOLOGY
U.V.S. Seshavatharama,b
Prof. S. Lakshminarayana
aHonorary
Dept. of Nuclear Physics,
Andhra University,
Visakhapatnam-03, AP, India
E-mail: lnsrirama@yahoo.com
faculty, I-SERVE, Alakapuri,
Hyderabad-35, AP.
bSr. Engineer, QA - Spun division,
Lanco Industries Ltd, Srikalahasti, AP.
E-mail: seshavatharam.uvs@gmail.com
Abstract : If we do not yet know whether the universe is spatially closed or open, then the
idea of Hubble volume can be used as a mathematical or physical tool in cosmology and
unification. In the universe, if the critical density is c   3H 02 / 8 G  and the characteristic
Hubble radius is R0   c / H0  , mass of the cosmic Hubble volume is M 0  c 3 / 2GH 0 . One
interesting microscopic observation is


c Gmp M 0 me  1 where m p and me are the rest
masses of proton and electron respectively. With this coincidence obtained value of the
present Hubble’s constant is H 0  70.75 km/sec/Mpc. Thus it can be suggested that, in the
presently believed atomic and nuclear physical constants, there exists one cosmological
variable. Similar to the planck mass, considering the elementary charge, a new mass unit
e2 / 4 0G  M C can be constructed. Surprisingly it is noticed that, cosmic thermal energy
density, matter density and critical density are in geometric series and the geometric ratio is
1  ln  M 0 / M C  . Thus the obtained present CMBR temperature is 2.718 0 K and is very close
to the actual value 2.725 0 K . It is assumed that, there exists a charged heavy massive
elementary particle M X in such a way that, inverse of the fine structure ratio is close to the
natural logarithm of the sum of number of positively and negatively charged M X in the
Hubble volume. Surprisingly it is noticed that, M X mass is close to Avogadro number times
the rest mass of electron and plays an important role in atomic and nuclear physics. With this
coincidence obtained value of the present Hubble’s constant is H 0  69.54 km/sec/Mpc.
119
NYM 186
SOME COSMOLOGICAL MODELS IN BRANS- DICKE THEORY OF
GRAVITATION
Charan kumar Ganteda
Raju papilla
Kluniversity
Charankumarganteda@kluniversity.in.
Priyadarsini institute of science and technology
rajupapalla@gmail.com
Abstract : Einstein special theory of relativity deals with uniform motions and inertial frames.
General theory of relativity deals with relativity of all kinds of motion. It is based on three
basic principles: Principal of co-variance. Principal of equivalence states that accelerated and
gravitational systems are equivalent. This theory of gravitation has been very successful in
surveying the gravitation phenomena. It is also useful to construct cosmological models of the
universe. However a number of modifications of Einstein theory have been proposed from time
to time.In recent years there has been a lot of interest in the study of the various aspects of
these series and then to compare them with results of general theory of relativity. With this
motivation, the researchers have taken up the study of cosmological models of physical interest
in the scalar tensor theories of gravitation.
The proposed work entitled SOME COSMOLOGICAL MODELS IN BRANS-DICKE
SCALAR TENSOR THEORY OF GRAVITATION. A lot of work is available in literature on
BRANS-DICKE theory of gravitation. General theory of relativity brings in the considerations
of gravitational field into the development of the theory. Max principal states that the inertial
properties depend on the surrounding matter distribution. Keeping in view the above three
principles Einstein formulated general theory of relativity.
In our proposed work we intend to investigate the following problems in scalar tensor
theory of gravitation. Bianchi models which are 9 in number play a vital role in understanding
the early stages of evaluation of the universe i.e., the structure formation and galaxy formation
in the universe. We proposed to investigate bianchi type-I model in size ballaster theory in the
presence of perfect distribution. We would like to obtain FRW (Friedmann Roderteson-walker)
universe in size ballester theory. We also proposed to establish Birkhoff’s theorem of general
relativity and to determine the interior solution of a perfect fluid sphere in this theory.
The above investigations when completed will help in understanding the scalar tensor
cosmology which will through a better light on the study of large scale structure of the universe
in relation to scalar tensor theories of gravitation.
120
NYM 187
A SUSCEPTIBLE-INFECTIVE EPIDEMIC MODEL WITH TIME
DELAY AND STOCHASTIC EFFECTS
A. Sabarmathi
B.Rushi kumar
Kalyan Das
Fluid Dynamics Division, School
of Advanced Sciences, VIT
University Vellore, India
sabarmathi.a@gmail.com
Fluid Dynamics Division, School of
Advanced Sciences, VIT University
Vellore, India
rushikumar@vit.ac.in
National Institute of Food Technology
Entrepreneurship and Management,
Department of Mathematics, Kundli 131028, Haryana, India.
daskalyan27@gmail.com
Abstract : The research article concentrates on the study of delay and stochastic effect on a
density dependent Susceptible-Infective (S-I) epidemic model with randomly fluctuating
environment. The study shows the effect of noise on the size of epidemic is remarkable. The
fluctuations lead to noise contributions of additive character and additive noise of sufficient
richness reduces the random attractor to a single point. Numerical simulations are also
performed to validate the results.
NYM 188
A MATHEMATICAL MODEL OF THREE LEVEL ECOLOGICAL
AMMENSALISM-NUMERICAL STUDY
Dr.K.V.L.N.Acharyulu
Prof.N.Ch. Pattabhi Ramacharyulu
Faculty of Mathematics, Department of Mathematics
Bapatla Engineering College, Bapatla-522101,India.
kvlna@yahoo.com
.
Retired Professor, Department of Mathematics & Humanities
National Institute of Technology,
Warangal – 506004,India.
Patabhi1933@yahoo.com
Abstract : This paper purports to investigate a case numerically in three level ecological
Ammensalism with Four Species (A,P,E,H). The System comprises AmmensalPrey(A),Predator-Ammensal(P),Enemy-Ammensal(E) and malice(M) species. This model is
formed by establishing the System of an Ammensal –prey(A) , a Predator –Ammensal(P) that
endures on Ammensal–prey(A), enemy-Ammensal(E) and malice(M) for which A, P are
Ammensals respectively i.e., E and M adversely effect on A and P without themselves getting
effected in any manner. Further E is Ammensal for M and M harms E..
The three levels of Ammensalism are constituted in the pairs of (A, E), (P, H) and
(E,H). The model equations are built with a set of four first order non-linear ordinary
differential coupled equations. In this model, sixteen equilibrium points are obtained. The
interactions among the four species are investigated in view of change in the natural growth
rate of Ammensal-Prey by employing the classical R-K method of Fourth order. Global
stability of this model is ascertained in the normal steady state.
Keywords : Ammensal,Prey,Predator,Enemy,Malice,Eco-System,Equillibrium point,
stablility.
AMS Classification: 92D25, 92D40
121
NYM 189
NUMERICAL SOLUTION OF FOURTH ORDER BOUNDARY VALUE
PROBLEMS BY GALERKIN METHOD WITH CUBIC B-SPLINES
K.N.S. Kasi Viswanadham
B. Srinivasulu
Department of Mathematics
National Institute of Technology ,
Warangal Warangal - 506004, India
e-mail:kasi_nitw@yahoo.co.in
Department of Mathematics
National Institute of Technology ,
Warangal Warangal - 506004, India
e-mail:kasi_nitw@yahoo.co.in
Abstract : A finite element method involving Galerkin method with cubic B-splines as basis
functions has been developed to solve fourth order boundary value problems. In the method,
the basis functions are redefined into a new set of basis functions which vanish at the
boundary where the Dirichlet type of boundary conditions are prescribed. The proposed
method is tested on several numerical examples of fourth order linear and nonlinear boundary
value problems. The solution of a non-linear boundary value problem has been obtained as
the limit of a sequence of solutions of linear boundary value problems generated by
quasilinearization technique. Numerical results obtained by the proposed method are in good
agreement with the exact solutions available in the literature.
NYM 190
NUMERICAL SOLUTIONS
EQUATIONS (DAES)
OF
DI_ERENTIAL
ALGEBRAIC
Nageswara Rao Narni
Department of Mathematics, Rajiv Gandhi University of Knowledge Technologies,
Gachibowli, Hyderabad 500032
Abstract : Differential equations with invariant constraints appear in all _leds of science and
engineering. The invariancy of it is due to conservation laws like, conservation of mass,
energy, etc. In this paper breakage population balance equation is considered which is an
intrgro-partial di_erential equation of linear type. The breakage equation is widely used in
high shear granulation, crystallization, atmospheric science and many other particle related
engineering problems.
A new Di_erential Algebraic Equation formulation of breakage equation is considered
along with invariant constraint like conserva- tion of volume, etc. The index of the new DAE
system is calculated and a suitable numerical scheme is used to solve it numerically. The
numerical solutions of the DAE form are compared with the analyti- cal solutions of the
breakage equation. It was observed that this new approach is more e_cient than the standard
ones.
122
NYM 191
SOME ALTERNATIVE ALGORITHMS FOR MINIMIZATION OF
NON LINEAR FUNCTIONS
B.Rajesh Anand
Dr.M.Sundaramurthy
Dr.SK.Khadar Babu,
Dr.K.Karthikeyan
Department of
Mathematics,Sri
Venkateswara University,
Tirupati
Department of
Mathematics,Sri
Venkateswara University,
Tirupati
Statistics and operations
Research Division, SAS,VIT
University, Vellote, Tamil
Nadu, India.
Statistics and operations
Research Division,
SAS,VIT University,
Vellote, Tamil Nadu,
India.
Abstract : In this paper, we propose alternative algorithms for minimization of nonlinear
functions which is based on geometric construction of iteration functions of order three to
develop cubically convergent iterative methods. Then comparative study among the
alternative algorithms and Newton’s algorithm is established by means of examples.
Keywords: Nonlinear functions, Newton’s method, Third order of convergence
NYM 192
NUMERICAL ANALYSIS & IT’S APPLICATIONS
Dola.Devanandam
Lecturer in Mathematics, Dharma Appa Rao College
Nuzvid+521201 Krishna.Dist, Andhra Pradesh, INDIA
E-Mail: ddn1998in@gmail.com, Cell: 9492978132
Abstract : Numerical analysis is a branch of applied mathematics that studies methods for
solving complicated equations using arithmetic operations, often so complex that they require
a computer; to approximate the processes of analysis Numerical analysis is concerned not just
with the numerical result of such a process but with determining whether the error at any
stage is within acceptable bounds.
The field of numerical analysis predates the invention of modern computers by many
centuries. Linear interpolation was already in use more than 2000 years ago. Many great
mathematicians of the past were preoccupied by numerical analysis, as is obvious from the
names of important algorithms like Newton's method, Lagrange interpolation polynomial,
Gaussian elimination, or Euler's method.
Nowadays numerical analysis forms an integral part in most engineering design. The
need for result validation is therefore vital throughout the design process so that the analysis
technique/methodology can be trusted and designers have confidence in the computed results.
123
NYM 193
TESTING OF HYPOTHESES
B.Sarath Babu
Siddartha Institute Of Science & Technology, Puttur
Abstract : The field of statistics deals with the collection presentation, analysis and use of
data to make decisions and solve problems. The main objective of any statistical study is to
draw conclusions about a collection of objects (observations) under study. This collection is
called the population. Instead of examining this population, which may be difficult
populations which is known as sample. This can be done with the aim of drawing inferences
about the population by using information from the sample, this process is known as
statistical inferences.
The theory of statistical inference can be divided in two major areas.
i)Estimation of parameters ii) Testing of hypotheses. A study of either type of inferences
about a population may lead to correct conjectures about the population. Procedure of
estimating a population (parameter) by using sample information is referred as Estimation.
Procedure which enables one to decide whether to accept or reject hypotheses (the
conjectures about the population) are called tests of hypothesis. The estimating the value of a
parameter (in engineering, science and management) we need to decide whether to accept or
reject a statement about the parameter. This statement is called hypothesis and the decisionmaking procedure about the hypothesis is called hypothesis testing.
This one of the most useful aspects of statistical inference, since many types of
decision-making problems, tests or experiments in the engineering world can be formulated
as hypothesis-testing problems.
NYM 194
A STOCHASTIC ANALYSIS OF TWO SPECIES PREY-PREDATOR
MODEL WITH AN OPTIMAL HARVESTING POLICY OF BOTH
PREY AND PREDATOR
M.N.Srinivas
M.A.S. Srinivas
Y.Narasimhulu
School of Advanced Sciences
V I T University, Vellore
Tamilnadu, India
Dept. of Mathematics
JNTUH College of engineering
Hyderabad, Andhra Pradesh, India
Pro vice chancellor
Central University of Orissa
Koraput, Orissa, India
Abstract : The present investigation deals with a prey - predator model incorporating (a) the
predator is provided with an alternative food in addition to the prey, (b) both prey and
predators are harvested under optimal conditions. The model is characterized by a pair of first
order non-linear ordinary differential equations. All the possible equilibrium points of the
model are identified and the criteria for the stability (both local and global) are discussed .The
possibility of existence of bio economic equilibrium is discussed. The optimal harvesting
policy is studied using Pontryagin’s maximum principle. We provide analytical estimates of
the population intensities of fluctuations by Fourier transform methods
124
NYM 195
DESIGNING OF ATMOSPHERIC WAVELETS FOR MST RADARS
AND WIND PROFILE ESTIMATION
Leela Lakshmi. S.,
Varada Rajan. S
Rajani Kanth .V
Abstract : The mining of the relevant information is made difficult because quite often the
available signal for processing is entrenched in background clamor component. Extracting the
signal buried under such severe noise, which is of Gaussian in nature, is a herculean task in
the MST radar signals that are obtained due to the reflections from the various layers of
atmosphere. A new wavelet is proposed called atmoslet2g is designed exclusively for the
MST radar signals. The atmoslets uses the properties of the existing wavelets like Sym3,
Sym8, Coif 3, Coif 1, Db 1, and Db 4.Unlike the atmoslets, the proposed wavelet developed
based on the nature of the signal received, which is a harmonic in nature. The designed
wavelets are tested on various test signals and then applied on the MST radar signal to extract
the signals under low SNR conditions particularly at the altitudes over 12 KM and good
quality results are reported.
Key words: wavelet, signature, atmoslet(s), atmoslet2g, harmonic decomposition, doppler,
radar signal, orthogonality
NYM 196
DIGITAL WATERMARKING FOR GRAY SCALE IMAGES USING
2-LEVEL DISCRETE WAVELET TRANSFORM
S. Lilly Anusha
K. Purushotham Prasad
Dr. B. Anuradha
M. Tech Student, Department of
EEE, SVU College of Engineering,
Tirupati
M. Tech Student, Department of
EEE, SVU College of Engineering,
Tirupati
Associate Professor, Department of
ECE, SVU College of Engineering,
Tirupati
Abstract : The recent progress in the digital multimedia technologies has offered many
facilities in the transmission, reproduction and manipulation of data. However, this
advancement has also brought the challenges such as copyright protection for content
providers. Digital watermarking is one of the proposed solutions for copyright protection of
multimedia data. This technique is better than Digital Signatures and other methods because
it does not increase overhead.
In this paper generic image watermarking techniques are used for the copyright
protection of gray scale images and color images. In this watermarking with gray scale
images are based on 2-level discrete wavelet transform (DWT). The technique used in this
paper is multi-bit watermark is embedded into the low frequency sub-band of a cover image
by using alpha blending technique. The insertion and extraction of the watermark in the
grayscale cover image is found to be simpler than other transform techniques. The Proposed
method is compared with the 1-level DWT based image watermarking methods by using
statistical parameters such as peak-signal-to-noise-ratio (PSNR) and mean square error
(MSE). The experimental results demonstrate that the watermarks generated with the
proposed algorithm are invisible and the quality of watermarked image and the recovered
image are improved.
125
NYM 197
THREE DIMENSIONAL TWO-STAGE BULK TRANSPORTATION
PROBLEM
A.Vidhyullatha
M. Sundaramurthy
SPW Degree & PG College, Tirupati
Professor (Rtd.), Department of Mathematics
S. V. University, Tirupati
Abstract : In a transportation problem the shipment of commodity takes place from sources to
destinations directly. Instead of direct shipment if it passes through the transient nodes, the
problem is termed as Two-Stage Transportation problem. In this paper we discussed a variant
of two-stage transportation problem called “Three Dimensional Two-Stage Bulk
Transportation Problem”. It contains m-sources, n-transient nodes and p-destinations. The
destinations can get its complete requirements of a commodity from sources through transient
nodes only using different facilities. Thus the mode transportation of a commodity is done in
two stages. The cost of transportation from origin to transient node and from transient node to
destination is given. The objective of the problem is to minimize the total bulk transportation
cost on shipment of a commodity in two stages subjected to availability and requirement
constraints. Often the problem is modeled as Zero-One programming problem and illustrated
with the help of a suitable numerical example. A Lexi-Search Algorithm using Pattern
Recognition Technique is proposed to solve the problem. A computer program is developed
for the algorithm and is tested. The experimental result shows that the algorithm takes fairly
less computational time.
Key-Words: Three Dimensional Two-Stage Bulk Transportation Problem, Lexi-Search
Algorithm, Pattern Recognition Technique, Pattern, Alphabet-Table, Search- Table.
NYM 198
A VARIANT BULK TRANSPORTATION
MULTIPLE BULK COST CONSTRAINT
PROBLEM
WITH
Suresh Babu C
Prof. Sundara Murthy
Research Scholar, Dept. of Mathematics, S.V.
University, Tirupati, A.P., India
Professor (Rtd.), Dept. of Mathematics, S.V.
University, Tirupati, A.P., India
Abstract : In this paper we studied a variation of Bulk Transportation Problem, which
contains a set of I Sources and J destinations. The Cost between sources and destinations is
to be known and denoted by C (i, j). Usually the bulk cost is independent of the quantity of
the products, here we considered the cost C (i, j) is bulk unit (say α quantity) cost with some
constraints. A source ican supply its product to a destination subjected to its availability and
requirement in multiples of α, and it is practical. The above analogy takes as X (i, j) = 0, 1,
2…, k; where k denotes a number of units of transported from i to j. However, the k is
subjected to a restricting factor for digits only. So this model we call it as A Variant Bulk
Transportation Problem with Multiple Bulk Cost Constraint. The objective of the problem is
to minimize the total bulk transportation cost subjected to the availability and requirement
constraints. The problem is discussed with a suitable example. We proposed Lexi – Search
algorithm using pattern recognition technique to solve. The algorithm is tested and the
computational results are also reported.
Keywords: A variant bulk transportation problem, Integer programming, Pattern recognition
technique, Lexi-Search approach.
126
NYM 199
LOCAL STABILITY OF A SINGLE SPECIES, MONOD TYPE
POPULATION MODEL
D. Ravi Kiran
Dr. B.Rami reddy
Department of Mathematics, Shri Vishnu
engineering college for Women,
Bhimavaram, India
Head, Department of Mathematics,
Hindu college, Guntur, India
Prof. N.Ch. Pattabhi ramacharyulu
Former faculty, Department of
Mathematics, National Institute of
Technology, Warangal, India
Abstract : Prey-Predator ecological system was presented by Lotka and Volterra in their
classical model. Inspired by that, several researchers made significant contributions in this
area by considering various special types of interactions between the prey and the predator.
The single species population model proposed by Malthus is
where ‘a’ is the natural
growth rate of the species. A modified model is proposed as
where k is the
carrying capacity of the species. On experimental evidence, Monod proposed the law
which is a self inhibiting type model.
In this paper we have solved the above model equation for different values of β,
identified all the equilibrium points and examined them for stability by using quasi
linearization technique. The trajectories of the perturbed curves are drawn, identified the
inflection points of the curves and found that the equilibrium points are stable in some cases.
Conclusions are presented.
NYM 200
DESIGN AND FABRICATION OF PERISTALSIC TRANSPORT
PUMP OF A NEWTONIAN FLUID
N RSwaminathan
V. Diwakar Reddy
G. Krishnaiah
Department of Mechanical Engineering
S.V University College of Engineering,
Tirupati, A.P
S. Sreenad
Professor
Department of Mathematcs
S.V.University
Abstract : The study of peristaltic transportation instruments and application are requiring
pumps that are simulate the mathematical models. To meet the mathematical models an
attempt is made to in designing and development of new peristaltic pumps. In the present
paper, a mathematical model of variable viscosity with non uniform tube model is considered
for the design of the pump. The parametric studies of change in pressure and friction with
variation of time period is studied mathematically in detailed. The effects of various
parameters on pumping phenomenon are discussed. Further, for practical applicability of
these flow characteristics are the studies in design and development. Also in this paper it is
restricted in conducting the experiments, only the generation of pressure and discharge are
discussed. And it is observed that for variation in amplitude ratio gives rise to significant
effect on volume flow rate.
Keywords: peristalsis, pumps
127
NYM 201
FOR FINDING A SQUARE NUMBER VALUE WE HAVE A LOT OF
METHODS LIKE TRADITIONAL FORMULA USING METHODS
AND SHORT-CUT METHODS
G.Ganesh. M.B.A,
Chinthamanipalli (V), Kondakamarla(P) O.D.C(M)
Anantapur (D), Ph.No: 9642417065
Traditional Formula Method
Short – Cut Method
In Traditional formula method we are using There is a few short-cut Methods for finding
formula’s for finding square number values.
square number values.
NYM 202
A VARIANT CONSTRAINED BULK TRANSSHIPMENT PROBLEM
Sangeetham Prasad
Research Scholars
Dept of Mathematics
S.V. University, Tirupati, A.P,INDIA
Suresh Babu C
Research Scholars
Dept of Mathematics
S.V. University,
Tirupati, A.P,INDIA
Sundara Murthy M
(Rtd.), Dept. of Mathematics,
S.V.
University,
Tirupati,
A.P,INDIA.
Abstract : The Classical Transportation or Transshipment Problem is to minimize the total
cost for shipping the various capacities of the goods on the requirement of destinations from
the available sources. We have already known that the Transshipment Problem is N.P-Hard.
The usual transshipment consist a unit cost for supplied goods to destinations from the
sources. But in bulk transshipment the cost is independent of number of goods supplied to
destinations, it is practical. In this paper we investigated a “variant of constrained bulk
transshipment problem”.
Let there are m-sources and n-destinations. The destinations can get its complete
requirement from a source directly or through some destination. The practical constraint is
considered as only fewer destinations are allowed to supply its availability to some limited
destinations. The cost of transportation of products from the sources to destination and
destinations to destination is given. In this problem we take care of the restriction of
availability and requirement of product between source and destinations. i.e., the total
availability of the product at the source is greater than or equal to the total requirement of the
product at the destinations. Generally movement of a product from source to source or
destinations to source is not natural or practical, hence these possibilities are avoided and
movement from destinations to destination is only considered. This is more generalized
problem and comes under combinatorial programming problem. Often, the model is
expressed as a zero-one programming problem. The objective of the problem is to minimize
the total bulk cost of supplying the required products to the destinations with the restriction
that any destination should get its supply from one source only, even when it gets from a
destination. The concepts and algorithms developed will be illustrated by a numerical
example. In the sequel we developed a Lexi-Search Algorithm based on the “Pattern
Reorganization Technique” to solve this problem which takes care of single combinatorial
structure of the problem.
Keywords: Transportation problem, Bulk Transshipment Problem, Integer Programming,
Lexi-Search Algorithm and Pattern Reorganization Technique.
128
NYM 203
SECURITY PROVIDING TO WIRELESS SENSOR NETWORKS BY
PRESENCE OF LOCATION MONOTORING SYSTEM
B.Ravi
Mr.D.Viveknanda Reddy
M.Tech Scholar,
Dept of CSE, SVUCE, Tirupathi.
noothanb4u@gmail.com
Assistant Professor,
CSE,Department SVUCE,S.V.University
Abstract : Monitoring personal locations with a potentially untrusted server poses privacy
threats to the monitored individuals. To this end, we propose a privacy-preserving location
monitoring system for wireless sensor networks. In our system, we design two innetwork
location anonymization algorithms, namely, resource- and quality- aware algorithms, that aim
to enable the system to provide high quality location monitoring services for system users,
while preserving personal location privacy. Both algorithms rely on the well established kanonymity privacy concept, that is, a person is indistinguishable among k persons, to enable
trusted sensor nodes to provide the aggregate location information of monitored persons for
our system. Each aggregate location is in a form of a monitored area A along with the number
of monitored persons residing in A, where A contains at least k persons. The resource-aware
algorithm aims to minimize communication and computational cost, while the quality-aware
algorithm aims to maximize the accuracy of the aggregate locations by minimizing their
monitored areas.
To utilize the aggregate location information to provide location monitoring services,
we use a spatial histogram approach that estimates the distribution of the monitored persons
based on the gathered aggregate location information. Then the estimated distribution is used
to provide location monitoring services through answering range queries. We evaluate our
system through simulated experiments. The results show that our system provides high
quality location monitoring services for system users and guarantees the location privacy of
the monitored persons.
NYM 204
A COMMENSAL - HOST ECOLOGICAL INTERACTION WITH A
VARIABLE COMMENSAL COEFFICIENT
N. Phani Kumar
N. Ch. Pattabhiramacharyulu
Department of Humanities & Sciences, Faculty
in Mathematics
Vignan Institute of Technology and Science,
Hyderabadderabad – 500 014. India
Professor
Department of Mathematics & Humanities, Former
Faculty, National Institute of Technology, Warangal –
506 004, India.
Abstract : In this paper we present a two species commensal interaction with a monod typevariable coefficient of commensalism with limited resources. The growth rate equations of
the two species of this model are characterized as before by first order non- linear coupled
differential equations. In all, four equilibrium states are identified. Further, solutions for the
linearized perturbed (over the equilibrium states) equations have been obtained and results
illustrated. The numerical solutions for the growth rate equations are computed employing
Runge-kutta fourth order method. The cases of strong and weak commensalism are illustrated
through the threshold diagrams. Further, the criteria for asymptotic stability have also been
established adopting Liapunov technique. The model equations for a two species commensal
interaction with a monod type-variable coefficient of commensalism with limited resources is
given by the following system of non-linear ordinary differential equations.
129
NYM 205
DIFFICULTIES
AND
CHALLENGES
DISTRIBUTEDDATABASE SYSTEMS
IN
BUILDING
Dr.R. Mahammad Shafi
C.Ananda Kumar Reddy
Professor, Department of MCA,
Sree Vidyanikethan Engineering College,
A. Rangampet, Tirupati.
E-mail: rmdshafi@gmail.com
Assistant Professor, Department of MCA,
Sree Vidyanikethan Engineering College,
A. Rangampet,
Tirupati. E-mail: anandareddychoppa@gmail.com
Abstract : A Distributed Database (DDB) is formed by a collection of multiple databases
logically inter- elated in a Computer Network. Any testing process, when used in DDB
correlates a series of stages for the construction of a DDB project beginning from the ground
and is employed in homogeneous systems. This paper covers number of difficulties that often
challenge the programmers in building DDB Systems. These difficulties are identified as
openness, concurrency, scalability, fault tolerance, latency, global clock, security, and
heterogeneity. In this paper, each issue is presented and is accompanied by the solutions.
Key Areas: Distributed Database System, Openness, Latency, Security, Heterogeneity
NYM 206
GRAY SCALE IMAGE FORMATION AND DEFORMATION
Dr.G.Srinivasu
Abstract : This paper deals with ‘Grayscale image formation and deformation’. A grayscale
image is simply one in which the only colors are shades of gray. The reason for
differentiating such images from any other sort of color image is that less information needs
to be provided for each pixel. In fact a `gray' color is one in which the red, green and blue
components, have equal intensity in RGB space. It is needed to specify a single intensity
value for each pixel instead of three intensities needed to specify each pixel in a full color
image. Gray scale image formation model describes the points in space thesis on gray scale
image plane. From literature reviews, precise correspondence between the points in 3-D
space and their gray scale images in 2-D gray scale image plane has been discussed by using
a mathematical model that the co-ordinates get transformed between the camera frame and
the world frame and used as a mathematical model for matching process to the
correspondence problems.
NYM 207
ON SOME PROPERTIES OF THE RISING SUN FUNCTION
Vajha Srinivasa kumar
Abstract : This paper studies a few interesting properties of the rising sun function of a
bounded real function defined on a closed and bounded interval on the real line. An operator
on the space of all bounded real functions defined on a closed and bounded interval is
introduced and its properties are investigated.
AMS Subject Classification : 26AXX, 26A48, 26A15, 49JXX
Key words : Rising sun function, Semi-continuity, Darboux continuity, Lower (upper)
semicontinuity, Lower (upper) semi-quasicontinuity, Symmetric continuity, Cliquishness,
Quasicontinuity, Differentiability.
130
NYM 208
VAGUE FIELDS AND VAGUE VECTOR SPACES
T.Eswarlal
N. Ramakrishna
Department of Mathematics
KL University
Vaddeswaram, Guntur Dist. Andhra
Pradesh , India.
teswarlal@yahoo.com
Department of Mathematics, Mrs.A.V.N.
College, Visakhapatnam,Andhra Pradesh ,
India. nrk8367@yahoo.co.in
Abstract : The notion of vague _elds and vague vector spaces with membership and nonmembership function values taking in unit interval of real num- bers are introduced, which
generalize of the existing notion of fuzzy _eld and fuzzy vector spaces, and studied various
properties.
Keywords:Vague set, , Vague _elds and Vague vector spaces.
Mathematics Subject Classi_cation (2000): 08A72, 20N25, 03E72.
NYM 209
RADIATION AND CHEMICAL REACTION EFFECTS ON
TRANSIENT MHD FREE CONVECTIVE FLOW
Dr.V.Sugunamma
N.Sandeep
Associate Professor, Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Research Scholar, Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Abstract : This paper analyze the Magneto hydrodynamic, Radiation and chemical reaction
effects on unsteady flow, heat and mass transfer characteristics in a viscous incompressible
and electrically conduction fluid over a semi-infinite vertical porous plate through porous
media. The porous plate is subjected to a transverse variable suction velocity. The transient,
non-linear and coupled governing equations have been solved adopting a perturbative series
expansion about a small parameter, ε. The effects of governing parameters on the flow
variables are discussed graphically.
Keywords: Transient velocity, MHD, Chemical reaction, Radiation.
NYM 210
ANALYSIS OF HEAT AND CHEMICAL REACTION ON AN
ASYMMETRIC
LAMINAR
FLOW
BETWEEN
SLOWLY
EXPANDING OR CONTRACTING WALLS
A. Subramanyam Reddy
S. Srinivas
T.R. Ramamohan
Fluid Dynamics Division,
School of Advanced Sciences, VIT
University Vellore, India
Fluid Dynamics Division, School of
Advanced Sciences, VIT University
Vellore, India
C-MMACS (CSIR), NAL Belur
campus, Wind Tunnel Road
Bangalore-560 037, India.
Abstract : The present study investigates the effects of heat and mass transfer on asymmetric
laminar flow in a porous channel with expanding or contracting walls in the presence of a
chemical reaction. Both walls are assumed to have different permeabilities and expand or
contract uniformly at a time dependent rate. The governing equations are reduced to ordinary
differential equations by using similarity transformation. A perturbation technique in the
permeation Reynolds number and wall dilation ratio is employed to obtain the analytical
solutions. The effects of various emerging parameters on flow variables have been discussed
numerically and explained graphically.
131
NYM 211
FULLY DEVELOPED FREE CONVECTIVE FLOW OF A JEFFREY
FLUID IN A CIRCULAR PIPE
E. Sudhakara
S.Sreenadh
P. Madhu Mohan Reddy
Department of mathematics,
sri venkateswara universit,
Tirupati - 517502
Department of mathematics,
sri venkateswara university
Tirupati - 517502
Department of mathematics,
sri venkateswara university
Tirupati - 517502
Abstract : Free convection flow of a Jeffrey fluid in a circular pipe has been investigated.
Using non-linear density temperature (NDT) relationship, the expressions for the velocity
field, the temperature distribution and the Nusselt number are obtained. It is observed that the
velocity increases with increasing  whereas the temperature decreases with increasing  .
The results have been compared with the corresponding cases of linear and quadratic density
temperature variations. The Nusselt number has also been plotted against the free convection
parameter K for various values of  and it is observed that the Nusselt number increases with
increasing K.
NYM 212
THERMAL RADIATION EFFECTS ON MHD BOUNDARY LAYER
SLIP FLOW PAST A PERMEABLE EXPONENTIAL STRETCHING
SHEET IN THE PRESENCE OF JOULE HEATING AND VISCOUS
DISSIPATION
P. Sreenivasulu
N. Bhaskar Reddy
Department of Mathematics, S.V.University,
Tirupati,A.P.,India
Department of Mathematics, S.V.University,
Tirupati,A.P.,India
Abstract : An analysis of the thermal radiation effects on MHD boundary layer flow past a
permeable exponential stretching surface in the presence of Joule heating and viscous
dissipation is presented. Velocity and thermal slips are considered instead of no-slip
conditions at the boundary. Stretching velocity and wall temperature are assumed to have
specific exponential function forms. The governing system of partial differential equations is
transformed into a system of ordinary differential equations using similarity transformations
and then solved numerically using the Runge-Kutta fourth order technique along with
shooting method. The effects of the various parameters on the velocity, shear stress,
temperature and temperature gradient profiles are illustrated graphically and discussed in
detail.
Keywords: MHD, Thermal radiation, Viscous dissipation, Boundary layer flow, Joule
heating, Exponentially stretching surface.
132
NYM 213
SORET AND DUFOUR EFFECTS ON MHD BOUNDARY LAYER
FLOW OF A CHEMICALLY REACTING FLUID PAST A MOVING
VERTICAL PLATE WITH VISCOUS DISSIPATION
M.Prasanna Lakshmi
N. Bhaskar Reddy
E.Manjoolatha
Department of mathematics,
Sri Venkateswara University,
Tirupati - 517502
Department of mathematics,
sri venkateswara university
Tirupati - 517502
Department of mathematics,
sri venkateswara university
Tirupati - 517502
Abstract : This paper investigates the Soret and Dufour effects on a steady free convection
boundary layer flow of a viscous, incompressible electrically conducting and chemically
reacting fluid past a low-heat-resistant sheet moving vertically downwards, by taking viscous
dissipation into account. The governing equations are transformed by using similarity
transformation and the resultant dimensionless equations are solved numerically using the
Runge-Kutta method with shooting technique. The effects of various governing parameters
on the velocity, temperature, concentration, skin-friction coefficient, Nusselt number and
Sherwood number are computed and shown in figures and tables.
NYM 214
RADIATION ABSORPTION AND CHEMICAL REACTION EFFECTS
ON MHD FREE CONVECTION FLOW PAST A VERTICAL POROUS
PLATE IN A SLIP FLOW REGIME
K. Gopal Reddy
K.S. Balamurugan
S.V.K. Varma
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
kallurugopalreddy009@gmail.com
Department of Mathematics, RVR &
JC College of Engineering, Guntur,
Andhra Pradesh, India
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Abstract : The objective of this study is to investigate radiation absorption and chemical
reaction effects on unsteady hydromagnetic free convection flow of a viscous,
incompressible, electrically conducting fluid with heat and mass transfer past a moving
porous vertical plate of infinite length with time dependent suction in the presence of heat
source in a slip flow regime. Slip flow conditions for the velocity and jump in temperature
are taken into account in the boundary conditions. A uniform transverse magnetic field is
applied. The free stream velocity is considered to follow an exponentially small perturbation
law. The dimensionless governing equations are solved analytically using the perturbation
method and solutions for velocity, temperature and concentration are obtained. Further, the
results of the skin friction coefficient and dimensionless rate of heat and mass transfer at the
plate are also presented. The effects of various physical parameters over the velocity,
temperature and concentration distribution as well as on skin friction coefficient,
dimensionless rate of heat transfer and dimensionless rate of mass transfer at the plate are
shown through graphs.
Keywords: Free convection, Slip flow, Perturbation method, Chemical Reaction, Radiation
absorption
133
NYM 215
ROBUST REGRESSION MODEL FOR PREDICTION OF RAINFALL
FLOW TIME SERIES
1
2
3
4
Dr.SK.Khadar Babu , Dr.M.V.Ramanaiah , Dr.P.Bala Siddamuni , B.Rajesh Anand D.V.Ramana
1, Asst.Professor(senior),Statistics and Operations Research Division,SAS,VIT University,Vellore.
2,3,4, Department of statistics, Sri Venkateswara University,Tiruparti,
5, Research Scholar, Department of Mathematics,Sri Venkateswara University,Tirupati.
5
Abstract : In this paper, we propose robust regression model for synthetic generation of
rainfall flow/wind speed time series. But, here we are taking the rainfall flow time series data
from a meteorological station at Vellore in Tamil Nadu and generate the data using the above
regression model. It is also useful to obtain the future predictions for various atmospheric
conditions.The main statistical properties used for these purpose are mean, standard deviation
,auto correlation functions and regressions models.
Keywords:Rain-fall flow, Auto correlation functions(ACF), Applied Regression Models.
NYM 216
RADIATION EFFECTS ON MHD FREE CONVECTION FLOW PAST
A VERTICAL PLATE EMBEDDED IN A POROUS MEDIUM WITH
CROSS-DIFFUSION AND VISCOUS DISSIPATION
M.Prasanna Lakshmi
N. Bhaskar Reddy
T.Poornima
Department of mathematics,
sri venkateswara universit,
Tirupati - 517502
Department of mathematics,
sri venkateswara university
Tirupati - 517502
Department of mathematics,
sri venkateswara university
Tirupati - 517502
Abstract : In this paper an analysis for the radiation effects on MHD free convective flow of
a viscous incompressible fluid past a vertical semi infinite plate embedded in a porous
medium, in the presence of cross-diffusion and viscous dissipation, is presented. Similarity
transformation is employed to convert the governing partial differential equations into
ordinary differential equations. The resultant non-linear equations are then solved
numerically using Runge-Kutta method along with shooting technique. The effects of various
governing parameters on the velocity, temperature, concentration, skin-friction coefficient,
Nusselt number and Sherwood number are shown in figures and tables and discussed in
detail.
NYM 217
PERISTALTIC FLOW OF A WILLIAMSON FLUID IN A POROUS
CHANNEL WITH SUCTION AND INJECTION
P. Hari Prabakaran
S.Sreenadh
Department of Mathematics
Sreenivasa Institute of Technology and Management Studies Chittoor-517
127, A.P, India
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Abstract : The Peristaltic transport of a Williamson fluid in a porous channel with suction
and injection is investigated. A perturbation technique in terms of small Wessienberg number
has been carried out to determine the expressions for the velocity, the stream function, the
pressure rise and the friction force under the long wavelength and low Reynolds number
assumptions. The effects of different parameters on the pumping characteristics and frictional
forces are discussed graphically.
134
NYM 218
PERISTALTIC TRANSPORT OF A JEFFREY FLUID IN CONTACT
WITH A NEWTONIAN FLUID IN AN INCLINED CHANNEL
A.Kavitha
S.Sreenadh
School of Advanced Sciences
VIT University, Vellore-632014
Tamil Nadu, India
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Abstract : The peristaltic pumping of a Jeffrey fluid in contact with a Newtonian fluid in an
inclined channel is investigated under long wave length and low Reynolds number
assumptions. The channel in inclined at angle of β with the horizontal. This model may be
useful to understand the peristaltic pumping of blood in small vessels. The velocity field, the
stream function and the pressure rise over one cycle of wavelength are determined.
NYM 219
PERISTALTIC MOTION OF A FOURTH GRADE FLUID IN A
POROUS CHANNEL WITH SUCTION AND INJECTION
R. Hemadri Reddy
P. Hari Prabakaran
S.Sreenadh
School of Advanced Sciences
VIT University, Vellore-632014
Tamil Nadu, India
Department of Mathematics
Sreenivasa Institute of Technology and
Management Studies Chittoor-517 127, A.P,
India
Department of Mathematics,
S.V.University,
Tirupati,A.P.,India
Abstract : The Peristaltic transport of a fourth grade fluid in a porous channel with suction
and injection is investigated. A perturbation technique in terms of small Deborah number has
been carried out to determine the expressions for the velocity, the stream function, the
pressure rise and friction force under long wavelength and low Reynolds number
assumptions. The effects of different parameters on the pumping characteristics and frictional
forces are discussed graphically.
NYM 220
MASS TRANSFER EFFECTS ON MHD FREE CONVECTION FLOW
THROUGH A POROUS MEDIUM BOUNDED BY AN INCLINED
SURFACE
S.Masthanrao
K.S. Balamurugan
S.V.K. Varma
Department of Mathematics, RVR & JC
College of Engineering, Guntur, Andhra
Pradesh, India
Department of Mathematics, RVR
& JC College of Engineering,
Guntur, Andhra Pradesh, India
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Abstract : An analysis of steady two-dimensional free convection and mass transfer flow of a
viscous incompressible electrically conducting fluid through a porous medium bounded by an
inclined surface with constant suction velocity, constant heat and mass flux in the presence of
uniform magnetic field is presented. The equations governing the fluid flow are solved using
perturbation method and the expressions are obtained for velocity, temperature and
concentration fields. The skin friction coefficient, the rate of heat transfer and the rate of
mass transfer in terms of Nusselt number, Sherwood number at the surface are also presented.
The effects of Grashof number for heat transfer (Gr > 0, corresponds to externally cooled
plate and Gr < 0 specifies condition for externally heated plate), Grashof number for mass
transfer, Schmidt number, Eckert number, Permeability parameter and Magnetic number on
velocity, temperature and concentration profiles as well as on skin friction coefficient,
dimensionless rate of heat transfer and dimensionless rate of mass transfer at the surface are
discussed analytically and shown graphically.
Keywords: Porous medium, free convection, Inclined surface, Heat flux, Mass flux
135
NYM 221
INFLUENCE OF SLIP, HEAT AND MASS TRANSFER ON MHD
PERISTALTIC FLOW OF A HYPERBOLIC TANGENT FLUID IN A
NON-UNIFORM CHANNEL WITH WALL PROPERTIES
R. Saravana
S.Sreenadh
S. Venkataramana
Department of Mathematics, Sreenivasa
Institute of Technology and Management
Studies, Chittoor 517127, India.
Department of Mathematics,
S.V.University,
Tirupati,A.P.,India
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Abstract : The influence of slip conditions and wall properties on the MHD peristaltic
transport of a hyperbolic tangent fluid in a non-uniform channel with heat and mass transfer
is investigated under long wavelength and low Reynolds number assumptions. The non-linear
governing equations are solved using regular perturbation technique for a small Weissenberg
number. The expressions for the stream function, velocity, temperature, concentration and the
co-efficient of heat transfer are determined. The effects of various parameters in the obtained
solutions are discussed by plotting graphs. The trapping phenomenon is also analyzed. It is
noticed that the size of the trapping bolus increases with increasing the velocity slip
parameter.
NYM 222
NUMERICAL ANALYSIS OF FREE CONVECTIVE HEAT AND
MASS TRANSFER IN VISCOELASTIC FLOW ALONG A VERTICAL
CONE
S. Gouse Mohiddin
V. R. Prasad
Department of Mathematics,
Madanapalle Institute of Technology
and Science, Madanapalle- 517325,
India
S.V.K. Varma
Department of Mathematics,
S.V.University,
Tirupati,A.P.,India
O. Anwar Bég
Biomechanics and Biotechnology Research,
Aerospace Engineering Program, Mechanical
Engineering Subject Group, Sheaf Building,
Sheffield Hallam University, Sheffield, S1 1WB,
UK, England, UK Email: gousemaths@gmail.com
Abstract : A numerical study for the free convective, unsteady, laminar convective heat and
mass transfer in a viscoelastic fluid along a vertical cone is presented. The Walters-B liquid
model is employed to simulate medical creams and other rheological liquids encountered in
biotechnology and chemical engineering.
This rheological model introduces supplementary terms into the momentum
conservation equation. The dimensionless unsteady, coupled and non-linear partial
differential conservation equations for the boundary layer regime are solved by the finite
difference scheme of Crank-Nicolson type. The velocity, temperature and concentration
fields have been studied for the effect of viscoelasticity parameter, Prandtl number (Pr),
Schmidt number (Sc), buoyancy ratio parameter (N) and semi vertical cone angle. The local
skin-friction, Nusselt number and Sherwood number are also presented and analyzed
graphically. It is observed that, when the viscoelasticity parameter increases, the velocity
increases close to the cone surface. An increase in Schmidt number is observed to
significantly decrease both velocity and concentration. The present results are compared with
available results in literature and are found to be in good agreement.
136
NYM 223
UNSTEADY CONVECTIVE HEAT TRANSFER FLOW OF A
VISCOUS FLUID THROUGH A POROUS MEDIUM IN A
VERTICAL CHANNEL WITH
TRAVELING THERMAL WAVE
AND QUADRATIC DENSITY-TEMPERATURE VARIATION
M.Siva Sankara Reddy
Kamrunnisa Begum
Assistant Professor, Dept. of Basic Sciences
G.Pulla Reddy Engineering College
(Autonomous), Kurnool, Andhra Pradesh, India.
Email: msreddy.atp@gmail.com
Lecturer in Mathematics, APSWRS Jr. College,
Zaffergadh, Andhra Pradesh, India.
Abstract : In this paper we make an investigate the effect of quadratic density-temperature
variation on unsteady convective heat transfer through a porous medium in a vertical channel
on whose walls a traveling thermal wave in imposed-in the presence of the heat sources. The
equations governing the flow and heat transfer which are non-linear and coupled have been
solved by applying a regular perturbation technique with the aspect ratio  as a perturbation
parameter. The velocity and temperature are analyzed for different variations of the governed
parameters G, D-1, R, 1 and x + t. The rate of heat and mass transfer has been evaluated for
different variations.
Key Words: Viscous Fluid, Porous Medium, Quadratic Density, Convective Heat Transfer,
Traveling Thermal Wave.
NYM 224
THE EFFECTS OF MAGNETIC FIELD ON UNSTEADY MICROPOLAR FLUID THROUGH POROUS MEDIUM IN AN STOKE’S
SECOND PROBLEM
B. Reddappa
Prof. K. Ramakrishna Prasad,
Assistant Professor of Mathematics,
Department of GEBH,
Sree Vidyanikethan Engineering College,
A.Rangampet, Tirupati, A.P, INDIA
Department of Mathematics,
S.V.University,
Tirupati, A.P, INDIA.
Abstract : An investigation is carried out to study the effects of Magnetic field on unsteady
one-dimensional, laminar, incompressible micropolar fluid past a vertical flat plate through
porous medium in the xy-plane and occupy the space z  0 , with z -axis in the vertical
direction. A uniform magnetic field B0 is applied transverse direction to the flow. It is
assumed that the transversely applied magnetic field and magnetic Reynolds number are very
small and hence the induced magnetic field is negligible as in Cowling (1971). The plate
initially at rest and at constant temperature   which is the free stream temperature is moved
with a velocity U 0eit in its own plane along the z-axis, and its temperature is subjected to a
periodic heating of the form (  -   ) eit , where    is some constant.
137
NYM 225
MAGNETOHYDRODYNAMIC CONVECTIVE FLOW AND HEAT
TRANSFER OF A VISCOUS HEAT GENERATING FLUID
THROUGH A RECTANGULAR DUCT
Dr S.Eswaraiah Setty,
Dr S.Sivaiah
Dr DRV Prasada Rao
Reader in Mathematics
Smt.GS College,
Jaggaiah Pet,Krishna Dist
Professor & Principal
Malla Reddy PG College,
Secunderabad-014
Rtd Professor of mathematics
SK University,
Anantapur
Abstract : In this Paper, We analyze the steady flow and heat transfer of a viscous heat
generating electrically conducting fluid through a rectangular vertical duct under a transverse
magnetic field. The dissipative terms are taken into account in the energy equation. The
equation for the velocity and induced magnetic field are suitably coupled. The walls of the
duct normal to the direction of the applied magnetic field are thermally insulated and those
parallel to the field are maintained at constant temperature. The Galerkin finite element
method with eight noded serendipity elements is used to obtain the velocity, the temperature,
the induced magnetic field, the shear stresses, the Nusselt Number, Their behavior is
discussed for variations in the governing parameters.
Key words: Viscous incompressible fluid, Rectangular Channel, Viscous Dissipations,
Galerkin FEM
NYM 226
STEADY FORCED CONVECTIVE FLOW OF A VISCOUS LIQUID
OF FINITE DEPTH IN A POROUS MEDIUM OVER A FIXED
HORIZONTAL IMPERMEABLE BOTTOM WITH A UNIFORMLY
DISTRIBUTED CONSTANT HEAT SOURCE IN THE FLOW REGION
K.Moinuddin,
Mohammad Ameenuddin
Prof.N.Ch.PattabhiRamacharyulu
Faculty of Mathematics , Maulana
Azad Nation Urdu University,Hyd.
Faculty of Mathematics, Anwarul
Uloom Degree College,
Mallepally,Hyd
Former Faculty of Mathematics ,
NIT Warangal,AndhraPradesh
Abstract : This paper deals with a steady forced convective flow of a viscous fluid of finite
depth in a porous medium over a fixed horizontal, impermeable bottom with a uniformly
distributed constant heat source in the flow region. Exact solutions of Momentum and Energy
equations are obtained when the temperatures on the fixed bottom and on the free surface are
prescribed. Flow rate ,Mean velocity , Temperature , Mean Temperature , Mean Mixed
Temperature in the flow region and the Nusselt number on the boundaries have been
obtained. The cases of large and small values of porosity coefficient have been obtained as
limiting cases.
Keywords: porous medium , velocity, flow rate , temperature, mean mixed temperature,
nusselt number, porosity parameter.
138
NYM 227
EFFECTS OF RADIATION ABSORPTION AND ALIGNED
MAGENTIC FIELD ON UNSTEADY CONVECTIVE FLOW ALONG
A VERTICAL POROUS PLATE WITH VARIABLE TEMPERATURE
AND CONCENTRATION
V. Manjulatha
S.V.K. Varma
Department of Mathematics, Noble
college, Machilipatnam, Andhra Pradesh,
India
vmanjulatha.ml@gmail.com
Department of Mathematics,
S.V.University, Tirupati,A.P.,India
Abstract : In this article, an analysis is carried out to study the effects of aligned magnetic
field, radiation absorption and viscous dissipation on the magneto hydrodynamic unsteady
convective heat and mass transfer flow of a viscous incompressible electrically conducting
and heat absorbing fluid along a vertical porous plate embedded in a porous medium with
variable temperature and concentration. Approximate solutions for velocity, temperature and
concentration are obtained by solving the governing equations of the flow field using multi
parameter perturbation technique. The expressions for the skin friction at the plate in the
direction of the main flow, the rate of heat transfer and masstransfer from the plate to the
fluid are derived in non-dimensional form.
The effects of various flow parameters affecting the flow field are discussed. It is
found that with an increasing Schmidt number the concentration and velocity profiles
decrease whereas the temperature profile increases with respect to the heat source and φ heat
sink parameters. A growing magnetic field parameter or Prandtl number or angle retards the
velocity and temperature of the flow field while the Grashof number for heat transfer or
Grashof number for mass transfer or permeability parameter or viscous dissipation reverses
the effect with respect to the heat source parameter and heat sink parameter.
Keywords: Radiation absorption, porous medium, viscous dissipation, heat source/sink,
suction.
NYM 228
DOFOUR AND SORET EFFECTS ON HEAT AND MASS DIFFUSION
FLOW OF CONDUCTING AND CHEMICAL REACTING FLUID
PAST AN OSCILLATING VERTICAL PLATE EMBEDDED IN A
POROUS MEDIUM
D. Praveena, D. B. Mamatha
Under the guidance of Prof. S. Vijay Kumar Verma
Abstarct :
The aim of present paper is study the Dufour and Soret effect on hydromagnetic flow
of a viscous incompressible fluid past an osciallting vertical plate embedded in a porous
medium in the presence of chemical reaction. The governing equations for verlocity
temperatutrer and concentration fileds are solved by regular perturbation method. The effects
of various non dimensoional parameters on the above flow quantities presented and analysed
graphically.
Key Words: Unsteady flow, Oscillating Plate, Magnetic Filed, Dufour effect, Soret effect,
Chemcial Reaction, Porour Medium.
139