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Concept explainers
(a)
The absolute velocity
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Answer to Problem 3.159P
The absolute velocity
Explanation of Solution
Given information:
The flow rate of the pump is
Write the expression for the absolute velocity at section (1).
Here, the absolute velocity is
Write the expression for the normal velocity at section (1).
Here, the flow rate is
Write the expression for the area of the impeller at the section (1).
Here, the width of the blade is
Substitute
Calculation:
Substitute
Substitute
Conclusion:
The absolute velocity
(b)
The absolute velocity
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Answer to Problem 3.159P
The absolute velocity
Explanation of Solution
Given information:
The flow rate of the pump is
Write the expression for the absolute velocity at section (2).
Here, the absolute velocity is
Write the expression for the normal velocity at section (2).
Here, the flow rate is
Write the expression for the area of the impeller at the section (2).
Here, the width of the blade is
Substitute
Calculation:
Substitute
Substitute
Conclusion:
The absolute velocity
(c)
The horsepower required.
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Answer to Problem 3.159P
The horsepower required is
Explanation of Solution
Given information:
The flow rate of the pump is
Write the expression for the Bernoulli’s equation between the section (1) and section (2) of the given system.
Here, the pressure at section (1) is
Since the pressure at section (1) and section (2) is atmospheric, so the difference between them is zero.
Since the datum is at the same level so,
Substitute
Write the expression for the power loss due to friction head.
Here, the power loss is
Write the expression for the ideal horsepower developed.
Here, the ideal power is
Write the expression for the horsepower required.
Here, the power required is
Calculation:
Substitute
Substitute
Substitute
Substitute
Conclusion:
The horsepower required is
(d)
The comparison of actual and ideal horsepower.
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Answer to Problem 3.159P
The actual horsepower is greater than ideal horsepower.
Explanation of Solution
Given information:
The flow rate of the pump is
Write the ideal horsepower required.
Write the actual horsepower required.
Since due to frictional losses between the section (1) and section (2) there is an additional power required to overcome the friction.
Conclusion:
The actual horsepower is greater than ideal horsepower.
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Chapter 3 Solutions
Fluid Mechanics
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