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Posted By: Atul Vohra Member Level: Diamond Posted Date: 03 Jun 2008
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2007 Anna University B.E Marine engineering MV 402 — FLUID MECHANICS AND MACHINERY Question paper
B.E. DEGREE EXAMINATION. Fourth Semester Marine Engineering MV 402 — FLUID MECHANICS AND MACHINERY Time : Three hours Maximum : 100 marks Answer ALL questions. PART A — (10 ´ 2 = 20 marks) 1. What is a real fluid? Give examples. 2. What is the relation between the vacuum pressure and the absolute pressure? 3. When is the flow regarded as unsteady? Give an example for unsteady flow. 4. What are the concepts of stream function? 5. Distinguish between characteristics of Laminar and Turbulent flow. 6. Define profile drag. 7. Give the dimensions of the following physical quantities : (a) Pressure (b) Surface tension (c) Dynamic viscosity (d) Kinematic viscosity. 8. What is priming? 9. Compare reaction and impulse turbine. 10. What is the function of draft tube? PART B — (5 ´ 16 = 80 marks) 11. (i) Define absolute and gauge pressure. (ii) An inverted differential manometer is connected to two pipes and , which convey water. The fluid in manometer is oil of specific gravity 0.8, for the manometer readings shown in Fig. 1, find the pressure difference between and . Fig. 1 12. (a) Derive the Euler's equation of motion, for a two-dimensional invicid steady flow. List the assumption underlying. Or (b) Derive the continuity equation of differential form. Discuss whether the equation is valid for a steady or unsteady flow, viscous or in viscid flow, compressible or incompressible flow. 13. (a) Compare the rate of growth of the laminar boundary layer over a smooth flat plate in the following cases : (i) Flat plate placed in a water stream flowing at 2 m/s (ii) Flat plate in an air stream flowing at 2 m/s (iii) Flat plate placed in an air stream flowing at 8 m/s Given that the densities of water and air are 1,000 and 1.2 kg/m3 respectively and the viscosities of water and air are 0.001 and 0.000019 Ns/m2 respectively. Or (b) Working from fundamentals, show that the flow per unit width past a fixed cross section for laminar flow between the two parallel plates moving in opposite direction as shown in the Fig. 2 is . Fig. 2 14. (a) Draw neat sketch of a centrifugal pump. List components and briefly explain their function of each of them. Or (b) (i) State Bunkingham's theorem. (ii) Let the efficiency of fan depends on density , dynamic viscosity of the fluid, angular velocity , Diameter of the rotor and the discharge . Express in terms of dimension less parameters. 15. (a) A vertical reaction turbine operates under 6 m head at 400 rpm. The area and diameter of the runner at inlet are 0.7 m2 and 1 m respectively the absolute and relative velocities of the fluid entering are 15° and 60° to the tangential direction. The swirl free entry to the draft tube is at 2 m above the tailrace. If inlet and exit diameters are 0.6 m, 0.8 m respectively. Calculate (i) Hydraulic efficiency (ii) The head saved by draft tube. Or (b) A Pelton turbine is required to develop 9000 kW of working under a head of 300 m the impeller may rotate at 500 rpm. Assuming a jet ratio 10 and an over all efficiency of 85%. Calculate (i) Quantity of water required (ii) Diameter of the wheel (iii) Number of jets (iv) Number and size of the bucket vanes on the runner. ———————
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