Question

Q2: The performance data of a water pump follow the curve fit Havailable = Ho-a V2 where the pump's shutoff head Ho = 5.30 m, coefficient a = 0.0453 m/(Lpm)?, the units of pump head Hare 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 = (z2-21) + b V4, where elevation difference Z2 - Z1 = 3.52 m, and coefficient b = 0.0261 m(Lpm)2. Calculate the operating point of the pump (V operating and Hoperating) in appropriate units (Lpm and meters, respectively).

Answer 1

The operating point of the pump is located whene pump and system chaructenistic curve matches. Thus, cet operating point, Havailable = Horsequired. 5.30 – 0.0453 V = 3.52+ 0.0261 Ú v = 4.9929 lpm Head, H = 5.30- (0.0453x 4.99299) TH = 4.1707 m Operating This is point = (4.9929 dpm, 4.1707 m) shown in the following plot.

"available Frequired Operating point Head (m) 0 1 2 2 5 3 4 Volume flow rate (pm)

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