V2.1 V2. V1.1 V1,n Control volume
A Francis radial-flow hydroturbine has the following dimensions, where location 2 is the inlet and location 1 is the outlet: r2 = 6.60 ft, r1 = 4.40 ft, b2 = 2.60 ft, and b1 = 7.20 ft. The runner blade angles are ?2 = 82° and ?1 = 46° at the turbine inlet and outlet, respectively. The runner rotates at n. = 120 rpm. The volume flow rate at design conditions is 4.70 ×106 gpm. Irreversible losses are neglected in this preliminary analysis. Calculate the angle ?2 through which the wicket gates should turn the flow, where ?2 is measured from the radial direction at the runner inlet. Calculate the swirl angle ?1, where ?1 is measured from the radial direction at the runner outlet. Does this turbine have forward or reverse swirl? Predict the power output (hp) and required net head (ft).
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