Assume the Francis turbine of Sample Prob. 16.6 is operating at maximum efficiency. Find the specific speed of the turbine and estimate the diameter of its runner.
Eq. (16.21): \quad N_{s}=\left(\frac{n_{e} \sqrt{\mathrm{bhp}}}{h^{5 / 4}}\right)_{\eta_{\max }}=\frac{300 \sqrt{1125}}{97.2^{5 / 4}}=33.0 \quad
From Fig. 16.14: \quad \phi_{e}=0.72
Eq. (16.20): \quad D=\frac{153.3(0.72) \sqrt{97.2}}{300}=3.63 \mathrm{ft} \quad
N_s=\left(\frac{n_e \sqrt{\mathrm{bh} \mathrm{p}}}{h^{5 / 4}}\right)_{\eta_{\max }} ( 6.21)
D=\frac{153.3 \phi_e \sqrt{h}}{n} (6.20)