A Francis radial-flow hydro turbine is being designed with the following dimensions: r 2 = 2.00 m,

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A Francis radial-flow hydro turbine is being designed with the following dimensions: r2 = 2.00 m, r1 =1.42 m, b2 = 0.731 m, and b1 = 2.20 m. The runner rotates at ṅ = 180 rpm. The wicket gates turn the flow by angle α2 = 30° from radial at the runner inlet, and the flow at the runner outlet is at angle α1 = 10° from radial (Fig. P14–83). The volume flow rate at design conditions is 340 m3/s, and the gross head provided by the dam is Hgross = 90.0 m. For the preliminary design, irreversible losses are neglected. Calculate the inlet and outlet runner blade angles β2 and β1, respectively, and predict the power output (MW) and required net head (m). Is the design feasible?


FIGURE P14–83

1 1 1 1 E V2.1  A 1 "V V.n Control volume 3 V.1 VI, n ( 1

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