Concept explainers
Calculate and compare the turbine specific speed for both the small (A) and large (B) turbines of Prob. 14-121. What kind of turbine are these most likely to be?
The specific speed of the turbine A.
The specific speed of the turbine B.
The type of turbine.
Answer to Problem 123P
The specific speed of the turbine A is
The specific speed of the turbine B is
The type turbine is Francis turbine.
Explanation of Solution
Given information:
The diameter of the turbine A is
Write the expression for the dimensionless turbine A parameter.
Here, the dimension less parameter for turbine A is
Write the expression for the dimensionless turbine B parameter.
Here, the dimensionless parameter for the turbine B is
Write the expression for the affinity law dimensionless parameter for turbine A.
Here, the affinity dimensional parameter for turbine A is
Write the expression for the affinity law dimensionless parameter for pump B.
Here, the affinity dimensional parameter for turbine B is
Equate Equation (I) and Equation (II).
Equate Equation (III) and Equation (IV).
Substitute
Write the expression for the specific speed of turbine A.
Here, the specific speed of turbine A is
Write the expression for the specific speed of turbine B.
Here, the specific speed of turbine B is
Calculation:
Substitute
Substitute
Substitute
Substitute
The density of the fluid for both turbine is zero.
Substitute
Substitute
Substitute
When the specific speed of both turbines is the same then its called Francis turbine, the value of the specific speed of turbine A is approximately equal to the value of the specific speed of the turbine B is. Then the type of turbine is Francis turbine.
Conclusion:
The specific speed of the turbine A is
The specific speed of the turbine B is
The type turbine is Francis turbine.
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Chapter 14 Solutions
Fluid Mechanics: Fundamentals and Applications
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