For a turbine design, experiments are carried out at 1000 rpm with a 40 cm diameter model which is 13 times smaller than the prototype. The values obtained as a result of the experiments are given in the table below. The turbine to be used in the hydroelectric power plant with a net head of 60 will be designed using the values at the most efficient operating point of the model. [m³/s] 0.87 1.40 1.54 1.90 2.34 3.10 Hart [mSS] 16.1 16.0 15.9 15.8 15.7 15.5 W [kW] 58.7 117.4 176.1 234.8 293.5 355.0 a) CH, CQ and n are functions of CP. Draw the dimensionless performance curves of the turbine on a single graph by making the necessary scalings. (Fit the curve by using the excel program for drawing. Also give the values you used for plotting in the table) b) Find the efficiency of the model at the most efficient operating point and the coefficients of head (CH), flow (CQ) and power (CP). Show them on the graph you have drawn. c)Calculate the diameter, net head, number of revolutions (rpm), flow rate, power (MW) and modified efficiency of the prototype d)Determine the turbine type

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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For a turbine design, experiments are carried out at 1000 rpm with a 40 cm diameter model which is
13 times smaller than the
prototype. The values obtained as a result of the experiments are given in the table below. The turbine
to be used in the hydroelectric
power plant with a net head of 60 will be designed using the values at the most efficient operating
point of the model.
[m³/s]
0.87
1.40
1.54
1.90
2.34
3.10
Haet
[mSS]
16.1
16.0
15.9
15.8
15.7
15.5
W
[kW]
58.7
117.4
176.1
234.8
293.5
355.0
a) CH, CQ and n are functions of CP. Draw the dimensionless performance curves of the turbine on a
single graph by making
the necessary scalings. (Fit the curve by using the excel program for drawing. Also give the values you
used for plotting in
the table)
b)Find the efficiency of the model at the most efficient operating point and the coefficients of head
(CH), flow (CQ) and power
(CP). Show them on the graph you have drawn.
c)Calculate the diameter, net head, number of revolutions (rpm), flow rate, power (MW) and modified
efficiency of the
prototype
d)Determine the turbine type
Transcribed Image Text:For a turbine design, experiments are carried out at 1000 rpm with a 40 cm diameter model which is 13 times smaller than the prototype. The values obtained as a result of the experiments are given in the table below. The turbine to be used in the hydroelectric power plant with a net head of 60 will be designed using the values at the most efficient operating point of the model. [m³/s] 0.87 1.40 1.54 1.90 2.34 3.10 Haet [mSS] 16.1 16.0 15.9 15.8 15.7 15.5 W [kW] 58.7 117.4 176.1 234.8 293.5 355.0 a) CH, CQ and n are functions of CP. Draw the dimensionless performance curves of the turbine on a single graph by making the necessary scalings. (Fit the curve by using the excel program for drawing. Also give the values you used for plotting in the table) b)Find the efficiency of the model at the most efficient operating point and the coefficients of head (CH), flow (CQ) and power (CP). Show them on the graph you have drawn. c)Calculate the diameter, net head, number of revolutions (rpm), flow rate, power (MW) and modified efficiency of the prototype d)Determine the turbine type
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