79
F0
Y
B3
5
B
79
52
9
B3
2
5
3
X5
F
5
Y7
X5
F0
5Y
0B
Y7
X5
F0
25
9
B
2
79
3X
9F
B3
25
F0
5Y
3X
Y7
F
0
Y
52
B3
X5
7
0B
5
9F
B
7
9
2
5
3
9
X
25
F
5
0B
3
Y
X
F
0B
Y7
52
X5
79
0B
Y7
52
3X
5
3
9
2
F
5
3
Y
9F
X
F
5
0
Y
52
X
7
0B
Y7
52
B3
79
0B
52
9F
5Y
5
3
9
X
F0
5Y
0
3X
Y
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F0
79
5
B
79
B3
25
79
3X
52
B3
2
F0
F
5
Y
X
F0
5Y
0
Y
5
B3
X5
7
5
B
2
79
9F
B3
2
5
79
3
X5
2
5
Y
X
F0
5Y
0B
Y7
X5
F0
7
5
25
9
B
2
79
3X
9
B3
2
F
5
3
Y7
F
5
0
Y
X5
F0
0
Y
5
B
X5
7
9F
B
2
79
3X
9F
B3
25
5Y
3X
25
0B
F
0
Y
5
X5
7
0B
Y7
5
B
2
7
3
9
2
5Y
3X
9F
25
F0
5Y
3X
9F
7
0
Y
5
B
79
0B
52
9F
B3
25
79
3X
F0
5Y
0B
3X
Y
X5
F0
52
79
B3
79
3X
52
B3
2
5
F
5Y
Y
X5
F0
5Y
0
52
X5
7
B3
79
9F
B3
25
5
79
2
X
F
5Y
0B
Y
X5
F0
0
5
7
B3
25
79
3X
9F
B3
25
Y
X5
F0
0
Y
52
X5
79
B3
79
B3
2
5Y
25
F
5
X
F0
0
Y
X5
79
Y7
5
B
79
B3
25
3X
25
9F
F
Y
X
0B
Y7
52
79
0B
52
5Y
3
9F
F
5
3X
X5
0
Y
79
0
B
79
52
B3
25
3X
F0
F
5Y
Y
X5
0
5
B3
7
B
2
79
9
2
5
3
F
5
Y7
X5
F0
0B
Y7
9F
B3
2
3
9
5
X5
F0
0B
Y
X5
79
B3
2
3X
25
5Y
F0
X5
Y7
52
7
B3
9F
25
5
9F
X
0B
Y7
0B
5
25
3X
9F
3X
Y
0
52
7
5
B
Paper / Subject Code: 41222 / Fluid Mechanics
May 16, 2024 1T01434 - S.E.(Mechanical) Engineering)(SEM-IV)(Choice Base Credit
Grading System ) ((R- 19) (C Scheme) / 41222 - Fluid Mechanics QP CODE: 10054665
N.B.:
(3 Hours)
Question No.1 is Compulsory.
Attempt any three Questions out of remaining five questions.
Figures to the right indicate full marks.
Assume any suitable data if necessary and justify the same.
(1)
(2)
(3)
(4)
Q1
[Total Marks: 80]
Solve any FOUR
A) Define Boundary layer and explain briefly boundary layer formation.
5
B) Explain the concept of control volume, control surface and importance of 5
Reynolds Transport theorem (RTT)
5Y
C) What is dimensional analysis? State the uses and advantages of dimensional 5
analysis?
Explain Newton Law of Viscosity? Define Poise and stoke?
52
Y7
X5
B3
F0
79
B3
X
F0
25
B3
X5
Y7
9F
0
Page 1 of 2
Y7
9F
0B
3X
3X
0B
Y7
9F
25
X5
10
(ii) Momentum thickness (iii) Shape factor
52
5
3X
0B
79
F
5Y
52
Y7
9
25
52
5
3X
0B
B3
X
54665
flow.
10
( )
Calculate:
(i) Displacement thickness
(iv) Energy thickness
Y7
9F
0
52
5
Y7
9F
0
B3
X5
B3
X5
2
F0
A) The velocity distribution in the boundary layer is given by
B) Derive the continuity equation for three dimensional, steady and incompressible
79
F
5Y
F0
5Y
0B
9F
5Y
7
25
B3
X5
B) Derive Darcy Weisbach equation and state its utility?
X5
25
Y7
9
B3
52
3X
52
F0
A) A pipeline carrying oil of relative density 0.8 changes its diameter from 200 mm 10
to 400 mm, which is 5 m at a higher level. If the pressures at these two points are
100 kN/m2 and 50 kN/m2 respectively and the discharge is 250 liter/sec,
determine direction of flow and loss of head.
Y7
9
25
B3
X5
F0
79
5Y
B3
X
F0
52
B3
F0
79
Y7
9
Q3
Y7
9F
0
52
5
25
3X
B) Find the velocity and acceleration at the point (1, 2, 1) for t = 2 sec for a three – 10
dimensional flow field given by (u = 3 + yz + t), (v = xz - t -1), (w = xy + 1).
X5
B3
25
X5
Y7
25
9F
Y7
0B
9F
0B
52
3X
5Y
Q2 A) A square aperture in the vertical side of a tank has one diagonal vertical and is 10
completely covered by a plane plate hinged along one of the upper sides of the
aperture. The diagonals of the aperture are 2 m long and the tank contains a liquid
of specific gravity 1.15. The centre of aperture is 1.5 m below the free surface.
Calculated the thrust exerted on the plate by the liquid and position of its centre of
pressure.
Q4
F0
Y7
9
0B
3X
5
79
F0
5Y
E)
B3
X5
2
79
F0
B3
X5
2
D) A wooden block of 4 m x 1 m x 0.5 m in size and its specific gravity 0.75 is 5
floating in water. Find the weight of concrete of specific weight 24 kN/m3 that
may be placed on the wooden block, which will immerse the wooden block
completely.
X525Y79F0B3X525Y79F0B3X525Y79F0B3X525Y79F0B3
10
79
F0
Y
B3
5
B
79
52
9
B3
2
5
3
X5
F
5
Y7
X5
F0
5Y
0B
Y7
X5
F0
25
9
B
2
79
3X
9F
B3
25
F0
5Y
3X
Y7
F
0
Y
52
B3
X5
7
0B
5
9F
B
7
9
2
5
3
9
X
25
F
5
0B
3
Y
X
F
0B
Y7
52
X5
79
0B
Y7
52
3X
5
3
9
2
F
5
3
Y
9F
X
F
5
0
Y
52
X
7
0B
Y7
52
B3
79
0B
52
9F
5Y
5
3
9
X
F0
5Y
0
3X
Y
X5
F0
79
5
B
79
B3
25
79
3X
52
B3
2
F0
F
5
Y
X
F0
5Y
0
Y
5
B3
X5
7
5
B
2
79
9F
B3
2
5
79
3
X5
2
5
Y
X
F0
5Y
0B
Y7
X5
F0
7
5
25
9
B
2
79
3X
9
B3
2
F
5
3
Y7
F
5
0
Y
X5
F0
0
Y
5
B
X5
7
9F
B
2
79
3X
9F
B3
25
5Y
3X
25
0B
F
0
Y
5
X5
7
0B
Y7
5
B
2
7
3
9
2
5Y
3X
9F
25
F0
5Y
3X
9F
7
0
Y
5
B
79
0B
52
9F
B3
25
79
3X
F0
5Y
0B
3X
Y
X5
F0
52
79
B3
79
3X
52
B3
2
5
F
5Y
Y
X5
F0
5Y
0
52
X5
7
B3
79
9F
B3
25
5
79
2
X
F
5Y
0B
Y
X5
F0
0
5
7
B3
25
79
3X
9F
B3
25
Y
X5
F0
0
Y
52
X5
79
B3
79
B3
2
5Y
25
F
5
X
F0
0
Y
X5
79
Y7
5
B
79
B3
25
3X
25
9F
F
Y
X
0B
Y7
52
79
0B
52
5Y
3
9F
F
5
3X
X5
0
Y
79
0
B
79
52
B3
25
3X
F0
F
5Y
Y
X5
0
5
B3
7
B
2
79
9
2
5
3
F
5
Y7
X5
F0
0B
Y7
9F
B3
2
3
9
5
X5
F0
0B
Y
X5
79
B3
2
3X
25
5Y
F0
X5
Y7
52
7
B3
9F
25
5
9F
X
0B
Y7
0B
5
25
3X
9F
3X
Y
0
52
7
5
B
Paper / Subject Code: 41222 / Fluid Mechanics
Q5
A) A converging pipe bend with its centreline in a horizontal plane, changes the 10
direction of pipeline by 60o in the clockwise direction and reduces the pipeline
diameter from 30 cm to 20 cm in the direction of flow. If the pressure indicate by
Bourdon gauge at the centre line of the 30 cm diameter entrance to the bend is 140
kN/m2 and the flow of water through the pipeline is 0.10 m3/sec. Determine the
magnitude and direction of force on the bend due to moving water.
B) Two parallel plate kept 100 mm apart have laminar flow of oil between them, 10
5Y
maximum velocity of flow is 1.5 m/s. Assume viscosity of oil 24.5 poise.
B3
X5
2
Calculate :
F0
(ii) Shear Stress at the plate
F0
5Y
79
(iii) The difference in pressure between two points 20 m apart
3X
5Y
52
79
(iv)Velocity gradient of plates
F0
25
F0
Y7
9
F0
3X
52
B3
X
5Y
and HGL
9F
(i) Define Reynold’s number, its significance and application
25
Y7
9
(ii) Streamlined and Bluff body.
B3
X5
Page 2 of 2
0B
3X
52
5
Y7
9F
X5
25
Y7
9F
0B
3X
0B
79
F
54665
_______________________
Y7
9F
0
Y7
9F
0
52
5
3X
0B
5Y
(iii)State and prove Pascal Law and give some application
25
B3
X5
Y7
9F
0
52
5
3X
F0
5Y
7
B3
X5
2
F0
X5
25
Y7
9
52
B3
X
0B
Solve any TWO
25
B3
X5
79
center of pipe. Consider all minor losses. Take friction factor f = 0.04. Draw TEL
52
B3
5Y
X5
79
atmosphere. The pipe is horizontal and height of water in the tank is 4 m above the
B)
79
F
5Y
B3
X
Y7
X5
B3
9F
when one end of pipe is connected to a tank and other end of pipe is open to
Y7
25
F0
Y7
9
25
B3
52
F0
25
Y7
0B
9F
3X
0B
52
(v) Velocity at 20 mm from the plate
Q6
losses.j
A) Determine the rate of flow of water through a pipe diameter 20 cm and length 50 m 10
X5
B3
F0
79
B3
X5
Y7
9F
0
52
5
F0
Y7
9
0B
3X
B3
X5
2
(i) Discharge per metre width
X525Y79F0B3X525Y79F0B3X525Y79F0B3X525Y79F0B3
10