1. A Francis turbine operates at its maximum efficiency point at no 0.94, %3D corresponding to a power specific speed of 0.9 rad. The effective head across the turbine is 160 m and the speed required for electrical generation is 750 rev/min. The runner tip speed is 0.7 times the spouting velocity, the absolute flow angle at runner entry is 72 deg from the radial direction and the absolute flow at runner exit is without swirl. Assuming there are no losses in the guide vanes and the mechanical efficiency is 100 percent, determine: (1) the turbine power and the volume flow rate; (2) the runner diameter; (3) the magnitude of the tangential component of the absolute velocity at runner inlet; (4) the axial length of the runner vanes at inlet.

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter40: Typical Operating Conditions
Section: Chapter Questions
Problem 10RQ: The seasonal energy efficiency ratio (SEER) includes the energy used in the _____and _____cycles.
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Fluid Machineries
Mechanical Engineering

1. A Francis turbine operates at its maximum efficiency point at no =
0.94,
corresponding to a power specific speed of 0.9 rad. The effective head across
the turbine is 160 m and the speed required for electrical generation is 750
rev/min. The runner tip speed is 0.7 times the spouting velocity, the absolute
flow angle at runner entry is 72 deg from the radial direction and the
absolute flow at runner exit is without swirl. Assuming there are no losses in
the guide vanes and the mechanical efficiency is 100 percent, determine:
(1) the turbine power and the volume flow rate;
(2) the runner diameter;
(3) the magnitude of the tangential component of the absolute velocity at
runner inlet;
(4) the axial length of the runner vanes at inlet.
Transcribed Image Text:1. A Francis turbine operates at its maximum efficiency point at no = 0.94, corresponding to a power specific speed of 0.9 rad. The effective head across the turbine is 160 m and the speed required for electrical generation is 750 rev/min. The runner tip speed is 0.7 times the spouting velocity, the absolute flow angle at runner entry is 72 deg from the radial direction and the absolute flow at runner exit is without swirl. Assuming there are no losses in the guide vanes and the mechanical efficiency is 100 percent, determine: (1) the turbine power and the volume flow rate; (2) the runner diameter; (3) the magnitude of the tangential component of the absolute velocity at runner inlet; (4) the axial length of the runner vanes at inlet.
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