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Posted By: Sra1 Member Level: Diamond Posted Date: 27 May 2008
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2007 Jawaharlal Nehru Technological University B.Tech Metallurgy & Material Technology MECHANICS OF FLUIDS (Supplimentary Examinations, Aug/Sep 2007) Question paper
Set No 3 ---------------- Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks
1. (a) Explain with sketches how ships will be unstable when the meta-centric height is negative. (b) What is capillarity? Derive expression for height of capillary rise [8+8] 2. (a) What is the irrotational velocity field associated with the potential f = 3x2 - 3x+3y2+16t2+12zt. Does the flow field satisfy the incompressible continuity equation? (b) Show that the streamlines and equipotential lines formla net of mutually per- pendicular lines. [8+8] 3. (a) Write shorts notes on: i. Bernoulli’s equation ii. Euler’s equation iii. Vertex Flow. (b) A closed vertical cylinder 350mm in diameter and height 400mm height is filled with oil of relative density 0.9 to a depth of 280mm, the remaining volume containing air at atmosphere pressure. The cylinder rotates about its vertical axis at such a speed that the oil. Just begins to uncover the base. Calculate the speed of rotation for this condition. [6+10] 4. Explain Venturimeter principle with neat sketch and also derive and expression for finding out actual discharge from a given venturimeter. [16] 5. (a) What type of drag predominates in the following cases. i. Thin plates placed parallel to flow direction ii. Disks and plates placed perpendicular to flow direction iii. Cylinder with axis perpendicular to flow direction iv. Well-streamlined bodies. (b) Why is it that the drag force on a flat plate held at right angles to the direction of flow is greater than the drag force on the same plate held parallel to the direction of flow? (c) A paratrooper descends in air of density 1.25 kg/m3 with the help of a para- chute which is hemispherical having a diameter of 4.5 m. If the weight of the paratrooper and parachute is 785 N, find the terminal velocity attained. Take coefficient of drag as 0.5. [4+6+6] 6. A pipeline ABC 180 m long is laid on an upward slope of 1 in 60. The length of portion AB is 90 m and its diameter is 0.15 m. At B the pipe section suddenly enlarges to 0.30 m diameter and remains so for the remainder of its length BC, 90 m. A flow of 50 litres per second is pumped into the pipe at its lower end A and is discharged at the upper end C into a closed tank. The pressure at the supply end A is 137.34 kN/m2. Sketch [16] (a) the total energy line (b) the hydraulic gradient line and also find the pressure at discharge end C. Take f = 0.02 in hf= flV 2 2gD 7. (a) What do you meant by viscous flow? Mention various forces to be considered in Navier Stroke’s equation. (b) Through a horizontal circular pipe of diameter 100 mm and of length 10m, an oil of dynamic 0.097 poise and relative density 0.9 is flowing. Calculate the difference of pressure at the two ends of the pipe, if 100 Kg. of the oil is collected in a tank in 30 seconds. [10+6] 8. (a) Write short notes on: i. Mach angle, ii. Zone of Action, iii. Zone of silence. (b) Define Mach number and explain sonic flow, subsonic flow and super - sonic flow (c) An Aeroplane is flying at an height of 15 Km where the temperature is - 500 C. The speed of the plane is corresponding to M=2. Assume K = 1.4and R = 287 J/Kg. K, find the speed of the plane. [5+5+6]
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