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GUJARAT TECHNOLOGICAL UNIVERSITY
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BE - SEMESTER- V (New) EXAMINATION - WINTER 2019Subject Code: 2152003 Date: 04/12/2019
Subject Name: Fluid Mechanics & Machines
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
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1. Attempt all questions.2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Define the following terms: 03
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Dynamic Viscosity, Bulk Modulus of Elasticity, Newtonian fluid. (b) Describe the terms atmospheric, absolute, gauge and vacuum pressure 04
with neat sketch.
(c) An isosceles triangular lamina of base 3m and altitude 3m is immersed 07
vertically in an oil of specific gravity 0.8 with its axis of symmetry
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horizontal. If the depth of oil on the axis of symmetry is 5m, Determinethe total pressure and center of pressure.
Q.2 (a) What is capillarity? Derive expression for height of capillary rise. 03
(b) Obtain the equation to the stream lines for the velocity field given as: 04
V = 2x2i - 6x2yj
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(c) Derive expressions for total force and centre of pressure on a vertical 07
plane surface submerged in static liquid.
OR
(c) What is Continuity Equation? Derive Continuity Equation for three 07
dimensions.
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Q.3 (a) Find the displacement thickness for the velocity distribution in the 03
boundary layer is given by u/U = y/d where u is the velocity at a distance
y from the plate and u = U at y = d, where d = boundary layer thickness.
(b) State and prove Pascal’s law. 04
(c) Derive Darcy-Weisbach equation for the loss of head due to friction in 07
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pipes.OR
Q.3 (a) Enlist different forces present in a fluid flow. For the Euler’s equation 03
of motion which forces are taken into consideration?
(b) Explain following terms: Net positive suction head, Priming. 04
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(c) Describe the types of fluid flow. Explain Stream-lines, Path-lines and 07
Streak- lines.
Q.4 (a) Explain Archimedes’s principle 03
(b) State and derive moment of momentum equation. 04
(c) State and derive Bernoulli’s theorem, state its application and 07
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assumptions made. Q.4 (a) Define the following terms: 03
Boundary layer thickness, Laminar sub-layer, Drag
(b) What is the function of air vessels in Reciprocating pump? 04
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(c) A Pelton wheel is to be designed for the following specifications: 07
Shaft power = 11,772 kW, Head = 380 m, Speed = 750 r.p.m., Overall
efficiency = 86%, Jet diameter is not to exceed one-sixth of the wheel
diameter. Determine: (i) The wheel diameter, (ii) The number of jets
required, and (iii) Diameter of the jet. Take Kv1=0.985 and Ku1= 0.45
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Q.5 (a) Differentiate clearly between Impulse turbine and Reaction turbine 03
(b) Compare Reciprocating pump and Centrifugal pump. 04
(c) A centrifugal pump is to discharge 0.118 m3/s at a speed of 1450 r.p.m. 07
against a head of 25 m. The impeller diameter is 250 mm, its width at
outlet is 50 mm and manometric efficiency is 75%.determine the vane
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angle at the outer periphery of the impeller.OR
Q.5 (a) How hydraulic turbines are classified? 03
(b) State function of draft tube and explain with neat sketch any two type 04
of draft tubes.
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(c) Define Specific speed of a centrifugal pump & derive the expression 07
for the same.
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