The following data is given for a Francis turbine with a radial discharge: Overa
ID: 1867981 • Letter: T
Question
The following data is given for a Francis turbine with a radial discharge:
Overall efficiency 75 %
Hydraulic efficiency 78 %.
Power produced 148.25 kW
Net head 7.62 m.
The wheel peripheral velocity at inlet 3.179 m/s
The radial velocity of the flow at inlet 11.738 m/s.
The runner diameter at inlet 0.4047 m
The discharge through the turbine (in m3/s) is
6.24
4.26
2.64
4.44
______________________________
Width of the runner at inlet (in m) is
0.157
0.717
0.017
0.177
_____________________________________
The guide vane angle (with respect to the radial direction) is
28.8 °
57.4 °
30.8 °
36.5 °
_______________
Note these are multiple choices
6.24
4.26
2.64
4.44
______________________________
Width of the runner at inlet (in m) is
0.157
0.717
0.017
0.177
Explanation / Answer
P = wQH? / 1000
Q = 148.25 X 1000 /(9810 X 7.62 X 0.75)
Q = 2.64 m3 /s
B= Q/? X D X Vf
= 2.64 x ? x 0.4047 x 11.738
B = 0.177 m
the guide vane angle with respect to the radial diretion is
? = tan-1(3.179/111.738) X 2
? = 30.50
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