A centrifugal pump having a head-capacity relationship given by the equation (h_{a}=180-6.10 times 10^{-4} Q^{2}), with (h_{a})

Question:

A centrifugal pump having a head-capacity relationship given by the equation \(h_{a}=180-6.10 \times 10^{-4} Q^{2}\), with \(h_{a}\) in feet when \(Q\) is in gpm, is to be used with a system similar to that shown in Fig. 12.14. For \(z_{2}-z_{1}=50 \mathrm{ft}\), what is the expected flowrate if the total length of constant diameter pipe is \(600 \mathrm{ft}\) and the fluid is water? Assume the pipe diameter to be \(4 \mathrm{in}\). and the friction factor to be equal to 0.02 . Neglect all minor losses.

Fig. 12.14