Solved: A Francis radial-flow hydroturbine has the following dimensions, where location

Chapter 14, Problem 14-85

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A Francis radial-flow hydroturbine has the following dimensions, where location 2 is the inlet and location 1 is the outlet: r2 5 2.00 m, r1 5 1.30 m, b2 5 0.85 m, and b1 5 2.10 m. The runner blade angles are b2 5 71.4 and b1 5 15.3 at the turbine inlet and outlet, respectively. The runner rotates at n . 5 160 rpm. The volume flow rate at design conditions is 80.0 m3 /s. Irreversible losses are neglected in this preliminary analysis. Calculate the angle a2 through which the wicket gates should turn the flow, where a2 is measured from the radial direction at the runner inlet (Fig. P1483). Calculate the swirl angle a1, where a1 is measured from the radial direction at the runner outlet (Fig. P1483). Does this turbine have forward or reverse swirl? Predict the power output (MW) and required net head (m)