Concept explainers
(a)
The flow rate.
Answer to Problem 3.181P
The flow rate is
Explanation of Solution
Given information:
There is linear variation between the head and the flow rate.
The Figure-(1) shows the linear variation of the head with the flow rate.Figure-(1)
Here, the point on the graph is
Write the coordinates of the first point on the graph.
Write the coordinates of the second point on the graph.
Write the expression for the equation of straight line of the graph.
Here, the pump head is
Write the expression for the Bernoulli’s equation between the inlet and outlet of the pump.
Here, the pressure at inlet is
Write the expression for the head loss.
Here, the average velocity is
Substitute in
Write the expression for the flow rate.
Here, the area is
Write the expression for the area.
Here, the diameter is
Substitute
Substitute
Calculation:
Substitute
Since the pressure at the inlet and outlet are same so,
Since the diameter of the pipe is constant, so the velocity at section (1) and section (2) is same.
Substitute
Substitute
Substitute
Convert flow rate into
Conclusion:
The flow rate is
(b)
The horsepower required to drive the pump.
Answer to Problem 3.181P
The horsepower required to drive the pump is
Explanation of Solution
Given information:
The efficiency of the pump is
Write the expression for the power.
Here, the power is
Substitute
Calculation:
Substitute
Conclusion:
The horsepower required to drive the pump is
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Chapter 3 Solutions
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