Mathematics · Hydraulic Turbines
A Francis turbine is supplied through a 6 m diameter penstock with the following data: Power output = 63,500 kW, Discharge = 117 m3/s, Speed = 150 rpm, Hydraulic efficiency = 92%, Static pressure head at penstock just before runner = 57.4 m, Velocity in tail race = 2.4 m/s. The pressure tap is 3 m above the tail race. The net head acting on the turbine and the overall efficiency (ηo) are approximately:
- 1H = 58 m, ηo = 0.88
- 2H = 65 m, ηo = 0.92
- 3H = 60.98 m, ηo = 0.907✓
- 4H = 55 m, ηo = 0.85
Correct answer
H = 60.98 m, ηo = 0.907
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