Chapter 14, Problem 70P

Two water pumps are arranged in Series. The performance data for both pumps follow the parabolic curve fit $H_{available}=H_0-a{\stackrel{\dot{}}{V}}^2$. For pump 1, $H_0=6.33$ in and coefficient a = 0.0633 m/(Lpm)2; for pump 2, $H_0=9.25m$ and coefficient $a=0.0472m/{\left(Lpm\right)}^2$ . In either case, the units of net pump head H are in. and the units of capacity $\stackrel{\dot{}}{V}$ are Lpm. Calculate the combined shutoff head and free delivery of the two pumps working together in series. At what volume flow rate should pump 1 be shut off and bybassed? Explain.