A simplified sketch of a hydraulic turbine runner is shown in Fig. P11.34. Relative to the rotating runner, water enters at section (1) (cylindrical cross-sectional area A1 at r1 = 1.5 m) at an angle of 100° from the tangential direction and leaves at section (2) (cylindrical cross-sectional area A2 at r2 = 0.85 m) at an angle of 50° from the tangential direction. The blade height at sections (1) and (2) is 0.45 m and the volume flowrate through the turbine is 30 m3/s. The runner speed is 130 rpm in the direction shown. Determine the shaft power developed. Is the shaft power greater or less than the power lost by the fluid? Explain.
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