Concept explainers
(a)
The flow rate from reservoir 1 if valve C is closed.

Answer to Problem 6.115P
Explanation of Solution
Given information:
All pipes are made of cast iron and the diameter is equal to
If the valve C is closed, the energy equation for the above system can be written as,
Since, the flow is series and the diameter is same for all pipes, the flow rate and the velocity will be equal in both pipe A and pipe B.
Calculation:
Assume, the water at
The loss co efficient will be equal to,
According to the explanation, the energy equation will be,
Assume,
Therefore,
Calculate the Reynolds’s number
Calculate the roughness ratio
Calculate the exact value of friction factor
Now, calculate the exact value of the velocity
Calculate the flow rate
Conclusion:
The flow rate is equal to
(b)
The flow arte from reservoir 1 if valve C is open.

Answer to Problem 6.115P
Explanation of Solution
Given information:
All pipes are made of cast iron and the diameter is equal to
If the valve C is opened, the energy equation for the above system can be written as,
Since, the flow is parallel in pipe B and C, and the diameter is same for all pipes,
Calculation:
Assume, the water at
The loss co-efficient will be equal to,
According to the explanation, the energy equation will be,
Similarly,
But, we also know
Assume the friction factor is same for all pipe and it is equal to,
Similarly,
By solving we get,
Now find the Reynolds’s number and friction factor separately for each pipe
According to the equations,
The relevant flow rate,
Conclusion:
The flow rate in pipe A is equal to
The flow arte in pipe B is equal to
The flow arte in pipe C is equal to
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Chapter 6 Solutions
Fluid Mechanics, 8 Ed
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