
Concept explainers
(a)
That the flow rate is equal to

Answer to Problem 6.73P
Yes, the computed flow rate is correct and it’s equal to
Explanation of Solution
Given information:
The fluid is water at
The diameter of the pipe is
The pressure drop is defined as,
In above equation,
The volumetric flow rate Q can be defined as below,
In above equation,
Calculation:
According to the explanation given,
Assume,
Conclusion:
Yes, the flow rate is equal to
(b)
The diameter that will triple the flow rate.
Given information:
The fluid is water at
The flow rate is equal to
The power law friction factor relation is defined as,
The power law friction factor relation is defined as,
In above equation,
Calculation:
To find the diameter,
According to the explanation given,
Conclusion:
The pipe should have a diameter of
(c)
Estimate the diameter that will triple the flow rate by given data.
Given information:
The fluid is water at
The flow rate is equal to
The more exact friction factor relation can be defined as,
In above equation,
The Reynolds’s number can be defined as,
The friction factor can be defined as,
Calculation:
According to the explanation,
We can rewrite the friction factor relation as,
Substitute the values for above equation,
Conclusion:
According to the friction factor relation, the pipe should have a diameter of
(b)
The diameter that will triple the flow rate.

Answer to Problem 6.73P
Explanation of Solution
Given information:
The fluid is water at
The flow rate is equal to
The power law friction factor relation is defined as,
The power law friction factor relation is defined as,
In above equation,
Calculation:
To find the diameter,
According to the explanation given,
Conclusion:
The pipe should have a diameter of
(c)
Estimate the diameter that will triple the flow rate by given data.

Answer to Problem 6.73P
Explanation of Solution
Given information:
The fluid is water at
The flow rate is equal to
The more exact friction factor relation can be defined as,
In above equation,
The Reynolds’s number can be defined as,
The friction factor can be defined as,
Calculation:
According to the explanation,
We can rewrite the friction factor relation as,
Substitute the values for above equation,
Conclusion:
According to the friction factor relation, the pipe should have a diameter of
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Chapter 6 Solutions
Fluid Mechanics
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