Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 3rd Sem Old 130101 Fluid Mechanics Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?III (Old) EXAMINATION ? WINTER 2019
Subject Code: 130101 Date: 26/11/2019
Subject Name: Fluid Mechanics
Time: 02:30 PM TO 05:00 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 Following Terms
(1) Mass density
(2) Specific volume
(3) Specific gravity
(4) Capillarity
(5) Dynamic viscosity
(6) Compressibility
(7) Surface tension
07
(b) A 50 mm diameter shaft rotates with 500 rpm in a 80mm long journal bearing
with 51mm internal diameter. The annular space between the shaft and bearing
is filled with lubricating oil of dynamic viscosity 1 poise. Determine the torque
required and power absorbed to overcome friction.
07
Q.2 (a) Explain different types of manometers and explain the working of differential
U-tube manometer.
07
(b) State and Prove Pascal?s law 07
OR
(b) Explain the condition of stability for a submerged and floating body with neat
diagram.
07
Q.3 (a) Derive an expression for continuity for 3-D flow and reduce it for steady
incompressible 2-D flow in Cartesian coordinate system.
07
(b) Define Buoyancy and centre of buoyancy. Calculate the volume of water
displaced and position of centre of buoyancy for a wooden block (density 680
kg/m
3
) of width 3m and depth 2m, when it flows horizontally in water. The
length of wooden block is 5m.
07
OR
Q.3 (a) Define total hydrostatic force and centre of pressure. Derive an expression for both
when the surface is vertically immersed.
07
(b) Explain the construction and working of a Venturimeter and also derive an
expression for the discharge through it.
07
Q.4 (a) Define notch and weir. Derive an expression for discharge over triangular notch. 07
(b) The head of water over an orifice of diameter 7.5 cm is 7.5 m. The jet of water
coming out from the orifice is collected in a tank having cross-sectional area of
1 m x 1 m. The rise of water level in this tank is 0.87 m in 25 seconds. The
coordinates of a point on the jet measured from venacontracta are 3.75 m
horizontal and 0.5 m vertical. Find the co-efficient of discharge, co-efficient of
velocity and coefficient of contraction.
07
OR
Q.4 (a) Derive Darcy Weisbach equation with usual notation. 07
(b) Define circulation and velocity potential function. Explain flow net and state the
importance of flow net.
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?III (Old) EXAMINATION ? WINTER 2019
Subject Code: 130101 Date: 26/11/2019
Subject Name: Fluid Mechanics
Time: 02:30 PM TO 05:00 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 Following Terms
(1) Mass density
(2) Specific volume
(3) Specific gravity
(4) Capillarity
(5) Dynamic viscosity
(6) Compressibility
(7) Surface tension
07
(b) A 50 mm diameter shaft rotates with 500 rpm in a 80mm long journal bearing
with 51mm internal diameter. The annular space between the shaft and bearing
is filled with lubricating oil of dynamic viscosity 1 poise. Determine the torque
required and power absorbed to overcome friction.
07
Q.2 (a) Explain different types of manometers and explain the working of differential
U-tube manometer.
07
(b) State and Prove Pascal?s law 07
OR
(b) Explain the condition of stability for a submerged and floating body with neat
diagram.
07
Q.3 (a) Derive an expression for continuity for 3-D flow and reduce it for steady
incompressible 2-D flow in Cartesian coordinate system.
07
(b) Define Buoyancy and centre of buoyancy. Calculate the volume of water
displaced and position of centre of buoyancy for a wooden block (density 680
kg/m
3
) of width 3m and depth 2m, when it flows horizontally in water. The
length of wooden block is 5m.
07
OR
Q.3 (a) Define total hydrostatic force and centre of pressure. Derive an expression for both
when the surface is vertically immersed.
07
(b) Explain the construction and working of a Venturimeter and also derive an
expression for the discharge through it.
07
Q.4 (a) Define notch and weir. Derive an expression for discharge over triangular notch. 07
(b) The head of water over an orifice of diameter 7.5 cm is 7.5 m. The jet of water
coming out from the orifice is collected in a tank having cross-sectional area of
1 m x 1 m. The rise of water level in this tank is 0.87 m in 25 seconds. The
coordinates of a point on the jet measured from venacontracta are 3.75 m
horizontal and 0.5 m vertical. Find the co-efficient of discharge, co-efficient of
velocity and coefficient of contraction.
07
OR
Q.4 (a) Derive Darcy Weisbach equation with usual notation. 07
(b) Define circulation and velocity potential function. Explain flow net and state the
importance of flow net.
07
2
Q.5 (a) Derive an expression for the velocity distribution for viscous flow through a
circular pipe. Also sketch the velocity distribution and shear stress distribution
across a section of the pipe.
07
(b) State the different methods for measurement of viscosity. Explain any one of
them.
07
OR
Q.5 (a) State Buckingham?s ? theorem. What do you mean by repeating variables? How
are the repeating variables selected in dimensional analysis?
07
(b) State Bernoulli?s theorem for compressible fluid flow and derive an expression for
the same when the process is adiabatic.
07
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This post was last modified on 20 February 2020