It is required to construct a hydraulic turbine (inward Francis type) for a hydraulic power plant to operate under the following conditions: rotating speed N = 110 rpm, discharge Q = 11 m3/s, the radial velocity at the inlet Cr1 = 2 m/s, the radial velocity at exit Cr2 = 9.5 m/s and the physical data are: the outside diameter D1 = 4.5 m, the absolute inlet angle a1 = 15°, the absolute exit angle a2 = 90° (radial flow at exit) Assume that the potential energy is constant (Z1 = Z2), the pressure head at exit equal 6 m, the hydraulic losses are 2 m, and no draft tube. Calculate the following: A) The Head subjected on the turbine in meters. B) The specific speed. 39.4 19.7 78.8 142.0 2.9 2.9 19.7 78.8 142.0 39.4 C) The pressure head at entrance in kg/cm2. D) It is required to construct a prototype to predict the actual machine performance, the assumed outside diameter D2 of the prototype was 0.3 m and the hydraulic circuit in the laboratory has the following specification: Available head = 5.5 m, Hydraulic efficiency = 0.8. Find the required speed, in RPM: 39.4 19.7 780 142.0 139 78.8 39.5 2.9 75.8 390 E) Based from the data of question item "D" find the water horsepower. 9.04 1.13 19.8 4.52 2.90

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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It is required to construct a hydraulic turbine (inward Francis type) for a hydraulic power plant to operate
under the following conditions: rotating speed N = 110 rpm, discharge Q = 11 m3/s, the radial velocity at
the inlet Cr1 = 2 m/s, the radial velocity at exit Cr2 = 9.5 m/s and the physical data are: the outside
diameter D1 = 4.5 m, the absolute inlet angle a1 = 15°, the absolute exit angle a2 = 90° (radial flow at exit).
Assume that the potential energy is constant (Z1 = Z2), the pressure head at exit equal 6 m, the hydraulic
losses are 2 m, and no draft tube. Calculate the following:
A) The Head subjected on the turbine in meters.
B) The specific speed.
39.4
19.7
78.8
142.0
2.9
2.9
19.7
78.8
142.0
39.4
C) The pressure head at entrance in kg/cm2.
D) It is required to construct a prototype to predict the actual machine
performance, the assumed outside diameter D2 of the prototype was 0.3
m and the hydraulic circuit in the laboratory has the following
specification: Available head = 5.5 m, Hydraulic efficiency = 0.8. Find the
required speed, in RPM:
39.4
19.7
780
142.0
139
78.8
39.5
O 2.9
75.8
390
E) Based from the data of question item "D" find the water horsepower.
9.04
1.13
19.8
4.52
2.90
Transcribed Image Text:It is required to construct a hydraulic turbine (inward Francis type) for a hydraulic power plant to operate under the following conditions: rotating speed N = 110 rpm, discharge Q = 11 m3/s, the radial velocity at the inlet Cr1 = 2 m/s, the radial velocity at exit Cr2 = 9.5 m/s and the physical data are: the outside diameter D1 = 4.5 m, the absolute inlet angle a1 = 15°, the absolute exit angle a2 = 90° (radial flow at exit). Assume that the potential energy is constant (Z1 = Z2), the pressure head at exit equal 6 m, the hydraulic losses are 2 m, and no draft tube. Calculate the following: A) The Head subjected on the turbine in meters. B) The specific speed. 39.4 19.7 78.8 142.0 2.9 2.9 19.7 78.8 142.0 39.4 C) The pressure head at entrance in kg/cm2. D) It is required to construct a prototype to predict the actual machine performance, the assumed outside diameter D2 of the prototype was 0.3 m and the hydraulic circuit in the laboratory has the following specification: Available head = 5.5 m, Hydraulic efficiency = 0.8. Find the required speed, in RPM: 39.4 19.7 780 142.0 139 78.8 39.5 O 2.9 75.8 390 E) Based from the data of question item "D" find the water horsepower. 9.04 1.13 19.8 4.52 2.90
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