Download GTU BE/B.Tech 2018 Winter 3rd Sem Old 130101 Fluid Mechanics Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-III (OLD) EXAMINATION — WINTER 2018

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Instructions:

1. Attempt all questions.

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2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

1. Q.1 State and explain Pascal’s law. (07)

2. Q.2 What is capillary effect? Derive equation for capillary rise and fall. (07)

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3. Q.3 What is meta-centric height? Derive an expression for meta-centric height of a floating body. (07)

4. Q.4 A circular plate of diameter 1m is immerged in a liquid of specific gravity 0.85 with its plane making an angle of 35° with the horizontal. The centre of the plate is at a depth of 2.5 m below the free surface. Calculate (1) total pressure force on one side of the plate, and (ii) location of the centre of pressure. (07)

   OR

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   Define total hydrostatic force and centre of pressure. Derive an expression for the force exerted on a sub-merged vertical plane surface by the static liquid and locate the position of centre of pressure. (07)

5. Q.5 Describe the Buckingham’s method for dimensional analysis (07)

1. Q.3 The efficiency n of a fan depends on the density p, the dynamic viscosity p of the fluid, the angular velocity ®, diameter D of the rotor and discharge Q. Express m in terms of dimensionless parameters. (07)

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   OR

   Prove that in a 2-D fluid flow the stream lines are always perpendicular to equipotential lines. (07)

2. Q4 A fluid flow field is given by V=x’yi+y’zj-(2xyz+yz>)k , show that it is case of possible steady incompressible fluid flow, calculate resultant velocity at point (2,1,3) (07)

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3. QS5 Derive an expression for the discharge of water over the V notch with usual notation (07)

4. Q4 A horizontal Venturimeter 60 cm x30.cm is used to measure the water flow through a pipe. The head causing the flow is measured as 14 cm of Hg by mercury U tube manometer. Find the flow rate in liters/min. Take Cd=0.95 (07)

   OR

   Explain rotational and irrotational flow with neat sketches. (07)

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5. QS5 A pipe A 350 mm in diameter, branches into two pipes (B and C) of diameters 200 mm and 150 mm respectively. If the average velocity in pipe A is 2.5 m/s, determine (i) Discharge through pipe A, and (ii) velocity in pipe C if the average velocity in pipe B is 1.5 m/s. (07)

1. Explain various flow losses in pipes. (07)

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2. Derive Darcy Weisbach equation for the co-efficient of friction in pipes (07)

   OR

   Explain the nature of propagation of disturbance in compressible flow when mach number less than one, is equal to one and is more than one. (07)

3. Derive an expression for the velocity distribution for viscous flow through a circular pipe. Also sketch the velocity distribution and shear stress distribution across a section of the pipe. (07)

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