The performance data of a water pump follow the curve fit Havailable 5 H0 2 aV . 2

Chapter 14, Problem 14-36

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The performance data of a water pump follow the curve fit Havailable 5 H0 2 aV . 2 , where the pumps shutoff head H0 5 7.46 m, coefficient a 5 0.0453 m/(Lpm)2 , the units of pump head H are meters, and the units of V . are liters per minute (Lpm). The pump is used to pump water from one large reservoir to another large reservoir at a higher elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure. The system curve simplifies to Hrequired 5 (z2 2 z1) 1 bV . 2 , where elevation difference z2 2 z1 5 3.52 m, and coefficient b 5 0.0261 m/(Lpm)2 . Calculate the operating point of the pump (V . operating and Hoperating) in appropriate units (Lpm and meters, respectively)

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