Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 4th Sem New 2141906 Fluid Mechanics Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2141906 Date: 12/12/2019
Subject Name: Fluid Mechanics
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Define terms: Viscosity, Specific gravity, Surface tension 03
(b) State and prove pascal?s law with usual notations 04
(c) Explain with neat diagram construction and working of bourdon tube
pressure gauge.
07
Q.2 (a) What is compressibility? Derive an expression for it. 03
(b) Define the terms Total pressure, Centre of pressure, Buoyancy. Centre
of , Buoyancy
04
(c) Show that the distance between the meta-centre and centre of buoyancy
is given by ???? =
?? ?
07
OR
(c) A solid cylinder of diameter 4 m has a height of 4 m. Find the
metacentric height of the cylinder if the specific gravity of the material
of cylinder is 0.7 and it is floating in water with its axis vertical. State
whether the equilibrium stable or unstable.
07
Q.3 (a) Explain : (i) Steady flow and unsteady flow (ii) Laminar and turbulent
flow
03
(b) The diameter of pipe at section 1 & 2 are 10 cm and 15 cm respectively.
The discharge through the pipe if the velocity of water flowing through
the pipe at section 1 is 5 m/s . Determine also the velocity at section 2.
04
(c) Explain the construction and working of a Venturimeter and also derive
an expression for the discharge through it.
07
OR
Q.3 (a) Discuss stability of submerged and floating bodies 03
(b) Explain the following terms
(i) Hydraulic grade line (ii) Total Energy Line
04
(c) Derive Darcy-Weisbach equation for head loss due to friction in pipe
flow.
07
OR
Q.4 (a) Differentiate between streamline and expotential line 03
(b) Explain Flow-net and state the importance of flow net 04
(c) If for two dimensional potential flow , the velocity potential is given by
? = x(2y-1) . determine the velocity component at point (4 , 5
).Determine the value of stream function ? at point P.
07
OR
Q.4 (a) Write short note on Say bolt Viscometer. 03
(b) Discuss different types of similarities that must exist between a
prototype and its model.
04
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2141906 Date: 12/12/2019
Subject Name: Fluid Mechanics
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Define terms: Viscosity, Specific gravity, Surface tension 03
(b) State and prove pascal?s law with usual notations 04
(c) Explain with neat diagram construction and working of bourdon tube
pressure gauge.
07
Q.2 (a) What is compressibility? Derive an expression for it. 03
(b) Define the terms Total pressure, Centre of pressure, Buoyancy. Centre
of , Buoyancy
04
(c) Show that the distance between the meta-centre and centre of buoyancy
is given by ???? =
?? ?
07
OR
(c) A solid cylinder of diameter 4 m has a height of 4 m. Find the
metacentric height of the cylinder if the specific gravity of the material
of cylinder is 0.7 and it is floating in water with its axis vertical. State
whether the equilibrium stable or unstable.
07
Q.3 (a) Explain : (i) Steady flow and unsteady flow (ii) Laminar and turbulent
flow
03
(b) The diameter of pipe at section 1 & 2 are 10 cm and 15 cm respectively.
The discharge through the pipe if the velocity of water flowing through
the pipe at section 1 is 5 m/s . Determine also the velocity at section 2.
04
(c) Explain the construction and working of a Venturimeter and also derive
an expression for the discharge through it.
07
OR
Q.3 (a) Discuss stability of submerged and floating bodies 03
(b) Explain the following terms
(i) Hydraulic grade line (ii) Total Energy Line
04
(c) Derive Darcy-Weisbach equation for head loss due to friction in pipe
flow.
07
OR
Q.4 (a) Differentiate between streamline and expotential line 03
(b) Explain Flow-net and state the importance of flow net 04
(c) If for two dimensional potential flow , the velocity potential is given by
? = x(2y-1) . determine the velocity component at point (4 , 5
).Determine the value of stream function ? at point P.
07
OR
Q.4 (a) Write short note on Say bolt Viscometer. 03
(b) Discuss different types of similarities that must exist between a
prototype and its model.
04
2
(c) The frictional torque T of a disc of diameter D rotating at a speed N in
a fluid of viscosity ? and density ? in a turbulent flow is given by T
= D
5
N
2
??[
?? ?? 2
????
]
Prove this by Buckingham?s ? method
07
Q.5 (a) Prove the velocity of a sound wave in a compressible fluid is given by
C =??? ?? ?? .
03
(b) Explain propagation of sound waves for Sub sonic and Sonic flow. 04
(c) Derive an expression for Hagen-Poiseuille?s formula for viscous flow. 07
OR
Q.5 (a) Derive an expression of capillary rise (depression ) between two vertical
parallel surfaces.
03
(b) Derive an expression for discharge over rectangular notch 04
(c) Define Reynold?s stress. Explain Prandtl?s mixing length theory for
total shear stress in turbulent flow.
07
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This post was last modified on 20 February 2020