Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 3rd Sem Old 130101 Fluid Mechanics Previous Question Paper
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?III (OLD) EXAMINATION ? WINTER 2018
Subject Code:130101 Date:22/11/2018
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) State and explain Pascal?s law. 07
(b) What is capillary effect? Derive equation for capillary rise and fall. 07
Q.2 (a) What is meta-centric height? Derive an expression for meta-centric height of a floating body. 07
(b) A circular plate of diameter 1m is immerged in a liquid of specific gravity 0.85 with its plane
making an angle of 35
o
with the horizontal. The centre of the plate is at a depth of 2.5 m below
the free surface. Calculate (i) total pressure force on one side of the plate, and (ii) location of
the centre of pressure.
07
OR
(b) Define total hydrostatic force and centre of pressure. Derive an expression for the force exerted
on a sub-merged vertical plane surface by the static liquid and locate the position of centre of
pressure.
07
Q.3 (a) Describe the Buckingham?s ? method for dimensional analysis 07
(b) The efficiency ? of a fan depends on the density ?, the dynamic viscosity ? of the fluid, the
angular velocity ?, diameter D of the rotor and discharge Q. Express ? in terms of
dimensionless parameters.
07
OR
Q.3 (a) Prove that in a 2-D fluid flow the stream lines are always perpendicular to equipotential lines. 07
(b) A fluid flow field is given by V=x
2
yi+y
2
zj-(2xyz+yz
2
)k , show that it is case of possible steady
incompressible fluid flow, calculate resultant velocity at point (2,1,3)
07
Q.4 (a) Derive an expression for the discharge of water over the V notch with usual notation 07
(b) A horizontal Venturimeter 60 cm x 30 cm is used to measure the water flow through a pipe.
The head causing the flow is measured as 14 cm of Hg by mercury U tube manometer. Find the
flow rate in liters/min. Take Cd=0.95
07
OR
Q.4 (a) Explain rotational and irrotational flow with neat sketches. 07
(b) A pipe A 350 mm in diameter, branches into two pipes (B and C) of diameters 200 mm and
150 mm respectively. If the average velocity in pipe A is 2.5 m/s, determine (i) Discharge
through pipe A, and (ii) velocity in pipe C if the average velocity in pipe B is 1.5 m/s.
07
Q.5 (a) Explain various flow losses in pipes. 07
(b) Derive Darcy Weisbach equation for the co-efficient of friction in pipes 07
OR
Q.5 (a) Explain the nature of propagation of disturbance in compressible flow when mach number less
than one, is equal to one and is more than one.
07
(b) 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
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This post was last modified on 20 February 2020