GUJARAT TECHNOLOGICAL UNIVERSITY
BE- SEMESTER-V (NEW) EXAMINATION - WINTER 2020
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Subject Code:3152003 Date:03/02/2021
Subject Name:Fluid Mechanics & Machines
Time:10:30 AM TO 12:30 PM Total Marks: 56
Instructions:
- Attempt any FOUR questions out of EIGHT questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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MARKS
Q.1 (a) Explain the following terms: Specific Density, Viscosity, Surface tension. 03
(b) State & Prove Pascal’s Law. 04
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(c) What is Meta-Center? Derive equation for Meta-Centric height of floating body. 07
Q.2 (a) Give differences between following (i) Kinematic viscosity and Dynamic 03 Viscosity. (ii) Cohesion and Adhesion
(b) Define The Capillary Effect & Derive The Equation for Capillary rise & Fall 04 with sketch
(c) What is Continuity Equation? Derive Continuity Equation for three dimensions. 07
Q.3 (a) What do you understand by laminar flow and turbulent flow? 03
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(b) Obtain the equation to the stream lines for the velocity field given as: v 04 =2x3i-6x2yj
(c) Derive expressions for total force and centre of pressure on a vertical plane 07 surface submerged in static liquid.
Q.4 (a) Explain Archimedes principle. 03
(b) Describe the types of fluid flow. Explain Stream-lines and Path-lines. 04
(c) State and derive Bernoulli’s theorem, state its application and assumptions 07 made.
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Q.5 (a) Explain boundary layer theory. 03
(b) What is priming of centrifugal pump? Explain clearly why priming is essential 04 before starting a centrifugal pump
(c) Derive Darcy — Weisbach equation for the loss of head due to friction in pipes 07
Q.6 (a) What is Draft-Tube? Give types of Draft-Tubes. 03
(b) Explain function of components of Pelton turbine. 04
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(c) A Pelton wheel is to be designed for a head of 60 m when running at 200 r.p.m. 07 The pelton wheel develops 95.6475 kW shaft power. The velocity of the buckets=0.45 times the velocity of the jet, overall efficiency=0.85 and co- efficient of the velocity is equal to 0.98.
Q.7 (a) What is compressibility? Derive an expression for it? 03
(b) Compare the centrifugal pumps with reciprocating pumps. 04
(c) A centrifugal pump is to discharge 0.118 m3/s at a speed of 1450 r.p.m against 07 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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Q.8 (a) Differentiate clearly between Impulse turbine and Reaction turbine. 03
(b) Write short note on air vessel. 04
(c) Define Specific speed of a centrifugal pump & derive the expression for the 07 same.
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