[2] In a vertical-shaft Francis turbine the available head at the inlet flange of the turbine is 170 m and the vertical distance between the runner and the tailrace is 2.0 m. The runner tip speed is 37 m/s, the meridional velocity of the water through the runner is constant and equal to 11.5 m/s, the flow leaves the runner without whirl and the velocity at exit from the draft tube is 3.7 m/s. The hydraulic energy losses estimated for the turbine are as follows: AHN = 6.0 m, A HR= 10.0 m, AHDT = 1.0 m. Determine (i) the pressure head relative to the tailrace at inlet to the runner; (ii) the flow angles at runner inlet and at guide vane exit; (iii) the hydraulic efficiency of the turbine. If the flow discharged by the turbine is 22 m/s and the power specific speed of the turbine is 0.9 (rad), determine the speed of rotation and the diameter of the runner.

[2] In a vertical-shaft Francis turbine the available head at the inlet flange of the turbine is 170 m and the vertical distance between the runner and the tailrace is 2.0 m. The runner tip speed is 37 m/s, the meridional velocity of the water through the runner is constant and equal to 11.5 m/s, the flow leaves the runner without whirl and the velocity at exit from the draft tube is 3.7 m/s. The hydraulic energy losses estimated for the turbine are as follows: AHN = 6.0 m, A HR= 10.0 m, AHDT = 1.0 m. Determine (i) the pressure head relative to the tailrace at inlet to the runner; (ii) the flow angles at runner inlet and at guide vane exit; (iii) the hydraulic efficiency of the turbine. If the flow discharged by the turbine is 22 m/s and the power specific speed of the turbine is 0.9 (rad), determine the speed of rotation and the diameter of the runner.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Problem [2]

[2] In a vertical-shaft Francis turbine the available head at the inlet flange of the turbine is 170 m
and the vertical distance between the runner and the tailrace is 2.0 m. The runner tip speed is 37
m/s, the meridional velocity of the water through the runner is constant and equal to 11.5 m/s,
the flow leaves the runner without whirl and the velocity at exit from the draft tube is 3.7 m/s.
The hydraulic energy losses estimated for the turbine are as follows:
AHN = 6.0 m, AHR = 10.0 m, AHOT = 1.0 m.
Determine (i) the pressure head relative to the tailrace at inlet to the runner; (ii) the flow angles
at runner inlet and at guide vane exit; (iii) the hydraulic efficiency of the turbine.
If the flow discharged by the turbine is 22 m/s and the power specific speed of the turbine is 0.9
(rad), determine the speed of rotation and the diameter of the runner.

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