GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-V (NEW) EXAMINATION - SUMMER 2019
Subject Code: 2152003 Date: 31/05/2019
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Subject Name: Fluid Mechanics & MachinesTime: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
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3. Figures to the right indicate full marks.MARKS
Q.1 (a) What is capillarity? Derive expression for height of capillary rise. 03
(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 07 immersed vertically in an oil of specific gravity 0.8 with its axis of symmetry horizontal. If the depth of oil on the axis of symmetry is 5m, Determine the total pressure and center of pressure.
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Q.2 (a) What is the difference between dynamic viscosity and kinematic 03 viscosity? State their units.
(b) Obtain the equation to the stream lines for the velocity field given as: 04 V = 2x2i - 6x2yj
(c) Derive expressions for total force and centre of pressure on a vertical 07 plane surface submerged in static liquid.
OR
(c) Derive Darcy-Weisbach equation for the loss of head due to friction 07 in pipes.
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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/J, where u is the velocity at a distance y from the plate and u = U at y = J, where J = boundary layer thickness.
(b) State and prove Pascal’s law. 04
(c) What is Continuity Equation? Derive Continuity Equation for three 07 dimensions.
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?
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(b) Explain following terms: Net positive suction head, Priming. 04(c) Describe the types of fluid flow. Explain Stream-lines, Path-lines and 07 Streak- lines.
Q.4 (a) Define the following terms: 03
i. Displacement thickness
ii. Momentum thickness
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iii. Drag (b) State and derive moment of momentum equation. 04
(c) State and derive Bernoulli’s theorem, state its application and 07 assumptions made.
OR
Q.4 (a) Explain Archimedes’s principle 03
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(b) Compare Reciprocating pump and Centrifugal pump. 04(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 Kvi= 0.985 and Ku=0.45
Q.5 (a) How hydraulic turbines are classified? 03
(b) What is the function of air vessels in Reciprocating pump? 04
(c) A centrifugal pump is to discharge 0.118 m3/s at a speed of 1450 r.p.m 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 angle at the outer periphery of the impeller.
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OR
Q.5 (a) Differentiate clearly between Impulse turbine and Reaction turbine. 03
(b) State function of draft tube and explain with neat sketch any two type 04 of draft tubes.
(c) Define Specific speed of a centrifugal pump & derive the expression 07 for the same.
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