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Find the absolute velocity and the guide vane angle at inlet

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Q1) A Francis turbine has a diameter of 1.5 m and rotates at 450 rpm. The velocity of flow is 10m/s and the discharge at the outlet is radial. The turbine develops 13MW of power with discharge of 12m3/s of water. The difference of the piezometric heads between the entrance to and exit from runner is 70.0 m. Find the

a) Absolute velocity and the guide vane angle at the inlet.

b) Angle of runner blades at the entry.

c) Loss of head in the runner.

Q2) A Francis turbine is to be designed to develop 370kW of power under head of 70m while running at a speed of 750rpm. Following are some pertinent data of turbine: -

i. Ratio of width of runner to outer diameter of runner = 0.1

ii. Ratio of inner diameter to outer diameter of the runner = 0.5

iii. Flow ratio = 0.15

iv. Hydraulic efficiency = 95%

v. Mechanical efficiency = 84%

vi. Circumferential area occupied by thickness of vanes = 5%

Assuming constant flow velocity, calculate (a) guide vane angle, (b) runner blade angle at inlet, and (c) blade angle at the outlet.

Q3) A Kaplan turbine develops 20,000 KW at head of 35m and at a rotational speed of 420 rpm. The outer diameter of the blades is 2.5m and the hub diameter is 0.85 m. if the overall efficiency is 85% and the hydraulic efficiency is 88%, calculate the discharge, the inlet flow angle and the blade angle at the inlet.

Reference no: EM132584229

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