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GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- III (New) EXAMINATION — WINTER 2019
Subject Code: 2130101 Date: 30/11/2019
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Subject Name: Fundamentals of Fluid Mechanics
Time: 02:30 PM TO 05:00 PM Total Marks: 70
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Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1 (a) Define viscosity and Derive unit of viscosity. 03
(b) Differentiate following terms. 04
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(i) Ideal Fluid and Real Fluid (ii) Model and Prototype
(c) State Hydrostatic Law and prove Pascal’s law. 07
OR
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Q.2 (a) Derive an expression for capillary fall between two vertical parallel plates. 03
(b) Explain Weber’s number and model law. 04
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(c) The pressure difference ?p in a pipe of diameter D and length l due to turbulent flow depends on the velocity v, viscosity µ, density ? and roughness k. Using Buckingham’s p-theorem, obtain an expression for ?p. 07
OR
Q.3 (a) The Resisting force R of a supersonic plane during flight can be considered as dependent upon the length of the aircraft l, velocity v, air viscosity µ, air density ? & bulk modulus of air k. Express the functional relationship between these variables & resisting force. 03
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(b) Define following terms: 04
(i) Buoyancy (ii) Metacentric Height (iii) Turbulent Flow
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(c) Differentiate following terms. 07
(i) Manometer and Piezometer (ii) Uniform and Non Uniform Flow
OR
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Q.4 (a) A circular plate 1.5 m diameter is immersed in water in such a way that it’s greatest and least depth below the free surface is 2 m & 0.75 m respectively. Determine the total pressure on one face of the plate & position of the centre of pressure. 03
(b) Define following terms: 04
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(i) Absolute Pressure (ii) Discharge (iii) Laminar Flow
(c) Compare Venturimeter and Orificemeter. 07
OR
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Q.5 (a) Derive Continuity equation for 2 and 3 Dimensional Flow with neat Sketch. 03
(b) Explain Hydrostatic paradox. 04
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(c) Explain different types of fluid flow with examples. 07
OR
Q.6 (a) Derive expression of Total pressure and Centre of pressure for Horizontal plane surface submerged in liquid. 03
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(b) Differentiate between distorted and undistorted model. 04
(c) Explain Mach number. 07
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OR
Q.7 (a) Derive an expression for Bernoulli’s theorem with the help of Euler’s equation. Clearly state assumptions made. 03
(b) The diameter of a pipe at the section 1-1 and 2-2 are 200 mm and 300 mm respectively. If the velocity of water flowing through the pipe at section 1-1 is 4 m/s, find 04
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(i) Discharge through the pipe, and
(ii) Velocity of water at section 2-2
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(c) Write note on Venturimeter with neat sketch and derive equation for theoretical discharge. 07
OR
Q.8 (a) Differentiate between Notch and Weirs. 03
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(b) Write short note on Frames of Reference. 04
(c) Derive equation for discharge over Triangular notch. 07
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