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ME309_Fall11_HW9_soln

ME309_Fall11_HW9_soln - ME 30900 Fluid Mechanics Fall 2011...

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ME 30900 Fluid Mechanics Fall 2011 Homework 9 (Due Wednesday, October 26, 2011) Problem 1 A pump draws water at a steady flow rate of 8 L/s through a piping system. The pressure on the suction side of the pump is -20 kPa (gage pressure). The pump outlet pressure is 350 kPa (gage pressure). The inlet pipe diameter is 8 cm, and the outlet pipe diameter is 5 cm. If the pump is 80% efficient, calculate the power required to drive in pump. Solution
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Problem 2 It rains during the construction of a building and water fills a recently excavated pit to a depth h =0.5 m. In order to continue construction, the water must be pumped out of the pit. A hose with a length of L =50m, a diameter of D =2.5 10 -2 m2 and a surface roughness of e =5.0 10 -5 m is attached to a pump. Note that the kinematic viscosity of the water is n = 1.005 10 -6 m 2 /s and the density is 1000 kg/m 3 . 1. If the pump is placed at the pit’s surface (figure a), what is the maximum depth of the pit, H , for which water can be pumped out at a velocity of V =1 m/s without causing cavitation in the pipe?
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