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Question 16.SP.11: Assume the Francis turbine of Sample Prob. 16.6 is operating......

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.

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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)

16.14

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