Concept explainers
For the pump and piping system of Prob. 14-35E, plot the required pump head
The plot between the available head and the capacity of the pump.
Answer to Problem 36EP
The plot between the available head and the capacity of the pump is
Explanation of Solution
Given information:
The shutoff head is
Write the expression for the required head using the energy balance equation.
Here, the initial pressure is
Write the expression for the roughness factor.
Here, the diameter of the pipe is
Write the expression for the minor losses.
Here, the minor loss coefficient at pipe entrance is
Write the expression for the frictional loss head.
Here, the friction factor is
Write the expression for the available head.
Here, the shutoff head is
Write the expression for the capacity.
Substitute
Write the expression for the Reynolds number.
Here, the density of the water is
Write the expression for the friction factor using the Colebrook equation.
Calculation:
Refer to table A-3E Properties of saturated water to obtain the density of water as
Substitute
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Since, the required head is equal to the available head that is
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The different values of the capacity and the available head is shown in the below Table.
S.No. | Capacity | Available head |
1 | ||
2 | ||
3 | ||
4 |
Draw the plot between the available head and the capacity of the pump for different values along with the required head.
Figure-(1)
Conclusion:
The plot between the available head and the capacity of the pump is
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Chapter 14 Solutions
Fluid Mechanics: Fundamentals and Applications
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