Chapter 14, Problem 32P

Suppose you are looking into purchasing a water pump with the performance data shown in Table P14-32. Your supervisor asks for some more information about the pump. (a) Estimate the shutoff head $H_0$ and the free delivery
${\stackrel{\dot{}}{V}}_{\max }$ of the pump. [Hint: Perform a least-squares curve fit (regression analysis) of $H_{available}$ versus ${\stackrel{\dot{}}{V}}^2$ , and calculate the best-fit values of coefficients $H_0$ and a that translate the tabulated data of Table P14-32 into the parabolic $H_{available}=H_0-a{\stackrel{\dot{}}{V}}^2$ . From these coefficients, estimate the free delivery of the pump.] (b) The application requires 57.0 Lpm of flow at a pressure rise across the pump of 5.8 psi. Is this pump capable of meeting the requirements? Explain.