a. CH, CQ and  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 ÖN number is 5

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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a. CH, CQ and  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

ÖN number is 5

For a turbine design, experiments were carried out with a 40 cm diameter model which is (8+ÖN) 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 (50+2xÖN) will be designed using the values at the most efficient operating point of the model.
V
[m³/s]
0.87
1.40
1.54
1.90
2.34
3.10
Hnet
[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
Transcribed Image Text:For a turbine design, experiments were carried out with a 40 cm diameter model which is (8+ÖN) 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 (50+2xÖN) will be designed using the values at the most efficient operating point of the model. V [m³/s] 0.87 1.40 1.54 1.90 2.34 3.10 Hnet [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
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Follow-up Question

Can you solve the problem again by taking the scale factor 13 ?

Can you also draw the graphs requested in the question in the excel program?

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Follow-up Question

Hello , i believe scale factor is 13 not 17. Does this affect the ongoing solution ? or if i just change the 17 to 13 ? 

Because ÖN= 5

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