VIDHYADEEP INSTITUTE OF MANAGEMENT
AND TECHNOLOGY
Vidhyadeep Campus, Anita (Kim), Ta. Olpad, Dist. Surat
Subject Name: Heat and Mass TRansfer
Subject Code: 161906
Sem: 6th (2014-15)
Assignment:-1:- Conduction
1. Derive general conduction equation in Cartesian co-ordinates and reduce it to one
dimensional ,no internal heat generation and steady state conduction.
2. Derive general conduction equation in Cylindrical co-ordinates and reduce it to one
dimensional ,no internal heat generation and steady state conduction.
3. Derive general conduction equation in speherical co-ordinates and reduce it to one
dimensional ,no internal heat generation and steady state conduction.
4. Derive the equation for heat conduction through composite wall and also derive
equation for overall heat transfer co-efficient for it.
5. Derive the equation for heat conduction through composite cylinder and also derive
equation for overall heat transfer co-efficient for it.
6. Derive the equation for heat conduction through composite sphere and also derive
equation for overall heat transfer co-efficient for it.
7. Derive the equation for critical thickness of insulation for cylinder and sphere.
8. Derive an expression for heat dissipation in rectangular fin of uniform cross section
which infinitely long.
9. Derive an expression for heat dissipation in rectangular fin of uniform cross section
which is insulated at the tip.
10. Define the effectiveness of fin? How to increase the effectiveness of fin? What happens
if εfin = 1, εfin < 1 and εfin > 1
11. Derive the relation for temperature variation with respect to time, instantaneous heat
transfer rate and total heat transfer using lumped parameter analysis.
12. What are the fourier number and biot number and gine their physical significant.
1
VIDHYADEEP INSTITUTE OF MANAGEMENT
AND TECHNOLOGY
Vidhyadeep Campus, Anita (Kim), Ta. Olpad, Dist. Surat
Subject Name: Heat and Mass TRansfer
Subject Code: 161906
Sem: 6th (2014-15)
Assignment:-2:- Convection
1. What is the difference between forced and natural convection?
2. Derive momentum equation for hydrodynamic boundary layer over a flat
plate.
3. Define convective mass transfer coefficient and what are its units.
4. For natural convection heat transfer, show that Nu =f(Gr, Pr).
5. Show physical significance of following non dimensional numbers.
i.
Nusselt number
ii.
Prandtl number
iii.
Grashoff number
iv.
Reynold number
v.
Stanton number
vi.
Peclet number
vii.
Graetz number
6. Discuss the concept of thermal boundary layer in case of flow over the
plates. How it differ from velocity boundary?
7. State the relationship between Nusselt, Grashoff and Prandtl number in
case of heat transfer by nature convection from a vertical plate.
8. For forced convection, show that Nu = f(Re, Pr).
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VIDHYADEEP INSTITUTE OF MANAGEMENT
AND TECHNOLOGY
Vidhyadeep Campus, Anita (Kim), Ta. Olpad, Dist. Surat
Subject Name: Heat and Mass TRansfer
Subject Code: 161906
Sem: 6th (2014-15)
Assignment:-3:- Boiling & Condensation and Mass Transfer
1. Explain Frick’s Law of Diffusion also explain its analogous with Newton’s low
of viscosity and Fourier’s equation of heat-transfer.
2. Discuss various regimes of pool boiling.
3. Write note on influence of non condensable gases on condensation.
4. Differentiate between pool boiling and forced convection boiling.
5. Define the Fick’s first law and second law for diffusion.
6. Enumerate the applications of mass transfer.
7. Explain following with neat sketch briefly.
i.
Film wise and drop wise condensation
ii.
Fouling factor and overall heat transfer co-efficient
8. Derive a general mass diffusion equation in stationary media having NAg as
mass generation rate of species A in Cartesian coordinates.
9. Draw labeled boil curve for water.
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VIDHYADEEP INSTITUTE OF MANAGEMENT
AND TECHNOLOGY
Vidhyadeep Campus, Anita (Kim), Ta. Olpad, Dist. Surat
10.State the modes of mass transfer with examples.
Subject Name: Heat and Mass TRansfer
Subject Code: 161906
Sem: 6th (2014-15)
Assignment:-4:- Radiation
1. Derive expression for Radiation Heat exchange between two concentric
infinite long grey cylinder.
2. Derive expression for Radiation Heat exchange between two parallel
infinite long grey plates.
3. Define following.
i.
Emissivity
ii.
Reflectivity
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VIDHYADEEP INSTITUTE OF MANAGEMENT
AND TECHNOLOGY
Vidhyadeep Campus, Anita (Kim), Ta. Olpad, Dist. Surat
iii.
Absorptivity
iv.
Transmissibility
v.
Total Emissive power
vi.
Radiosity
vii.
Monochromatic emissive power
viii.
Irradiation
ix.
Solid angle
4. What is black body ? How it is differ from grey body? Give the examples of
each.
5. Define following.
i.
Stefan boltzman ‘s law
ii.
Kirchoff ‘s law
iii.
Plank ‘s law
iv.
Lambert cosine law
v.
Wine displacement law
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VIDHYADEEP INSTITUTE OF MANAGEMENT
AND TECHNOLOGY
Vidhyadeep Campus, Anita (Kim), Ta. Olpad, Dist. Surat
Subject Name: Heat and Mass TRansfer
Subject Code: 161906
Sem: 6th (2014-15)
Assignment:-4:-Heat Exchanger
1. Derive an expression for LMTD for parallel flow heat exchanger.
2. Derive an expression for LMTD for counter flow heat exchanger.
3. What is heat exchanger? Give detailed classification.
4. What is the importance of heat exchanger in industry?
5. Draw shell and tube heat exchanger.
6. Derive relation between effectiveness and number of transfer units (NTU)
for parallel flow heat exchanger.
7. Derive relation between effectiveness and number of transfer units (NTU)
for counter flow heat exchanger.
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