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HW 6 Fall 2010

HW 6 Fall 2010 - ME 3720 1 HOMEWORK SET-6 DUE Three pipes...

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ME 3720 HOMEWORK SET-6 DUE: 11/08/10 1. Three pipes steadily deliver water to a large exit pipe as shown. The velocity at inlet-2, V 2 =5-m/s, and the exit flow rate Q 4 =120-m 3 /hr. If increasing Q 3 by 20% would increase Q 4 by 10% , calculate V 1 , V 3 , and V 4 . (Hint: V 4 < V 1 < V 3 ) 2. When the pump in figure draws 220-m 3 /hr of water at 15 ° C from the reservoir, the total friction head loss is 5-m of water. The flow discharges through a nozzle to the atmosphere. Estimate the pump power in kW delivered to the water. 3. Water is to be pumped from the large tank shown in figure with an exit velocity of 6-m/s. It was determined that the original pump (pump-1) that supplies 1-kW of power to the water did not produce the desired velocity. Hence it is proposed that an additional pump (pump-2) be installed as indicated to increase the flow rate to desired level. How much 1/3
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power must pump-2 add to the water? The head loss for this flow is h L =250Q 2 , where h L is in m when Q is in m 3 /s.
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