Data from tests of a pump, with a 12.3-in.-diameter impeller operated at \(1450 \mathrm{rpm}\) are

Develop and plot a curve-fit equation for NPSHR versus volume flow rate in the form NPSHR \(=a+b Q^{2}\), where \(a\) and \(b\) are constants. If the \(N P S H A=20 \mathrm{ft}\), estimate the maximum allowable flow rate of this pump.

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Flow rate, Q (cfm) 20 40 60 80 100 120 140 Net positive 7.1 8.0 8.9 10.3 11.8 12.3 16.9 suction head required, NPSHR (ft)