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(a)
The flow rate in each pipe.
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Answer to Problem 6.120P
Explanation of Solution
Given information:
The fluid is water at
The total flow rate is
In parallel pipe system the pressure drop is same in each pipe.
Total flow is sum of individual flows,
The velocity
The Reynolds’s number is defined as,
Roughness ratio is equal to,
The friction factor can be determined by,
The total head loss
Calculation:
For pipes
To find velocity of the flow in each pipes,
By equating the head losses in each pipe,
If,
Therefore,
By substituting,
To find relevant Reynolds’s number,
The relevant roughness ratio will be,
The relevant friction factor will be,
By substituting these values in equation (1),
Therefore,
By substituting,
Conclusion:
The flow rate in each pipe is as below,
(b)
The pressure drop across the system
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Answer to Problem 6.120P
Explanation of Solution
Given information:
The fluid is water at
The total flow rate is
In parallel pipe system the pressure drop is same in each pipe.
Total flow is sum of individual flows,
The velocity
The Reynolds’s number is defined as,
Roughness ratio is equal to,
The friction factor can be determined by,
The total head loss
Calculation:
To find the pressure drop across the system,
By finding the head loss across any one of the pipe, we can able to find the pressure drop
Therefore, to find the head loss across pipe 2,
Consider the specific weight of the water as
Conclusion:
The pressure drop
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Chapter 6 Solutions
Fluid Mechanics
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