Question
A vertical shaft Francis turbine rotates at 300 rpm. The available head at the inlet to the turbine is 200 m. The tip speed of the rotor is 40 m/s. Water leaves the runner of the turbine without whirl. Velocity at the exit of the draft tube is 3.5 m/s. The head losses in different components of the turbine are :
(i) stator and guide vanes: 5.0 m,
(ii) rotor: 10 m, and
(iii) draft tube: 2 m.
Flow rate through the turbine is 20 m³ /s. Take 𝒈 = 9.8 m/s² . The hydraulic efficiency of the turbine is ______________ % (round off to one decimal place).
Answer :
Correct answer is : 91.87
Hinlet = 200 m, HL, stator + Guide = 5 m, Hrotor = 10 m, Hdraft tube = 2 m, V3 = 3.5 m/s, g = 9.8 m/s2
From equation (i)
200 = Hturbine + 5 + 10 + 2 +
Hturbine = 182.375 m
∴ = = 0.9118 = 91.87 %
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