Subject Code: 130101
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GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- III(OLD) EXAMINATION - SUMMER 2019
Date: 01/06/2019
Subject Name: 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.
Q.1 (a) Explain the following terms: (Any SEVEN) [07]
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- Surface Tension
- Cavitation
- Non-Newtonian Fluid
- Continuum
- Buoyancy
- Metacentre
- Vorticity
- Dynamic Similarity.
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(b) Define and explain Viscosity and state Newtonian law of viscosity. [07]
Q.2 (a) Enlist different types of manometers and explain the working of a differential U-tube manometer. [07]
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(b) State and Prove Pascal’s law. [07]
OR
(b) Derive an equation of pressure variation with respect to vertical axis in a fluid under the gravity- Hydrostatic law. [07]
Q.3 (a) Define buoyant force, center of buoyancy, metacenter and metacentric height. Also describe conditions of equilibrium for floating and submerged bodies. [07]
(b) Derive equations for total force and center of pressure for vertical plane surface immersed in a static liquid. [07]
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OR
Q.3 (a) Obtain an expression for continuity equation for a three dimensional flow. [07]
(b) Discuss different similarity conditions for the model similitude. [07]
Q.4 (a) Derive Euler’s equation of motion along a stream line for an ideal fluid and integrate it to get the Bernoulli’s equation. [07]
(b) Explain the construction and working of a Venturimeter and also derive an expression for the discharge through it. [07]
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OR
Q.4 (a) Derive and sketch the velocity distribution for viscous flow through a circular pipe. Using that prove that the ratio of maximum velocity to the average velocity is 2. [07]
(b) Define: Reynolds number and explain “Reynolds’ Experiment. [07]
Q.5 (a) Derive an expression for the velocity of sound wave in a compressible fluid in terms of change of pressure and change of density. [07]
(b) Explain: Mach cone, Zone of silence, stagnation pressure, adiabatic process. Derive the energy equation for compressible flow in an adiabatic process. [07]
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OR
Q.5 (a) Derive Darcy-Weisbach equation for the loss of head due to friction in pipes. [07]
(b) Differentiate between following fluid flow: [07]
- Steady and unsteady flow
- Uniform and Non Uniform flow
- Laminar and Turbulent flow
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