Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 3rd Sem Old 130602 Fluid Mechanics Previous Question Paper
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?III (OLD) EXAMINATION ? WINTER 2018
Subject Code:130602 Date:28/11/2018
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)
Derive Darcy-Weisbach equation for friction loss in the pipe.
07
(b)
Explain with sketch the relationship between the absolute pressure, atmospheric pressure
and gauge pressure.
07
Q.2 (a)
State and prove Pascal?s law
07
(b)
What is metacentre? Explain how metacentric height is determined analytically.
07
OR
(b)
Define surface tension. Prove the relationship between surface tension and pressure
inside a droplet of liquid in excess of outside pressure is given by P = 4?/d
07
Q.3 (a)
Derive an expression for the total pressure and position of centre of pressure on a plane
surface immersed vertically in a liquid.
07
(b)
A 1m wide and 3m deep rectangular plane surface lies in water in such a way that its
plane makes an angle of 40? with the free water surface. Determine the total pressure
and position of centre of pressure when the upper edge is 2m below the free water
surface.
07
OR
Q.3 (a)
Explain Bernoulli?s equation. What are the practical applications of Bernoulli?s
equation?
07
(b)
The velocity potential function is given by ? = 3 (x
2
? y
2
). Calculate the velocity
components at the point (2,1).
07
Q.4 (a)
Derive the continuity equation for three dimensional flow.
07
(b)
A horizontal venturimeter with inlet and throat diameters 15 cm and 7.5 cm respectively
is used to measure the flow of water. The readings of differential manometer connected
to the inlet and throat is 30cm of mercury. Determine the discharge. Take Cd = 0.98.
07
OR
Q.4 (a)
Explain velocity potential and stream functions. Show that streamlines and
equipotential lines intersect orthogonally.
07
(b)
Define Hydraulic co-efficient. Derive equation C
c
= C
d
/ C
v
07
Q.5 (a)
Classify different types of orifices according to its shapes, size, discharge condition and
shape of upstream edge. Explain all in brief.
07
(b)
Derive an equation for the discharge passing over a rectangular notch and show that
percentage error in estimation of discharge is 1.5 times the percentage error in head
measurement
07
OR
Q.5 (a)
Explain the following terms: (i) Subsonic flow (ii) Sonic flow (iii) Super sonic flow
and (iv) Mach cone
07
(b)
What do you understand by stagnation pressure? Obtain an expression for stagnation
pressure of a compressible fluid in terms of approaching Mach number and pressure.
07
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This post was last modified on 20 February 2020