HW 4 Fall 2010

HW 4 Fall 2010 - the depth H of the layer of...

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ME 3720 HOMEWORK SET-4 DUE: 10/20/10 1. A 1/4-m diameter pipe carries an oil (SG=0.8) at the rate of 120 liters per second and the pressure at point ‘A’ in the pipe is 19.62 kPa (gage). If point ‘A’ is 3.5-m above the datum line, calculate the total energy at point ‘A’ in meters of oil . 2. An Eulerian velocity vector field is given as V = (y 2 +z 2 ) i + (x 2 +z 2 ) j + (x 2 +y 2 ) k . Determine total acceleration of a particle in the flow field. Also find the acceleration of a particle at (x, y, z, t) = (-1, 0, 1, 10). 3. Water flows through a small hole in the bottom of a large, open tank with a speed of 8-m/s. Determine the depth of water in the tank if viscous effects are negligible. 4. Air flows steadily through a horizontal, 4-in diameter pipe and exits into the atmosphere through a 3-in diameter nozzle. The velocity at the nozzle exit is 150-m/s. Determine the pressure in the pipe if viscous effects are negligible. 5. Water flows steadily with a speed of 10-ft/s from a large tank as shown. Determine
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Unformatted text preview: the depth H of the layer of liquid (Specific Weight = 50-lb/ft 3 ) that covers the water in the tank assuming an inviscid, incompressible flow. 6. If water flows from a garden hose nozzle with a velocity of 15-m/s, what is the maximum height that it can reach above the nozzle? 7. A circular stream of water from a faucet is observed to taper from a diameter of 20-mm to 10-mm in a distance of 50-cm. Determine the flow rate assuming steady, incompressible, frictionless flow. 8. In relation to the venturimeter discussed in class, draw the sketch and (a) Derive an expression for the volume low rate (Q) in terms of areas (A 1 and A 2 ), gravity g, and h . (b) Express Q in terms of diameters (d 1 and d 2 ) instead of areas (A 1 and A 2 ). 9. Explain ‘ Vena Contracta ’ in relation with an orifice flow using a sketch. 1/1...
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