The flow rate in each pipe.
Answer to Problem 6.129P
Explanation of Solution
Given information:
All pipes are made of cast iron.
The diameter of all pipes are
The fluid is water at
The basic rules of pipe networks are,
“The net pressure change in a closed loop must be equal to zero”
“The net flow into a junction must be equal to zero”
“All pressure changes must satisfy moody and minor loss friction co-relation”
The head loss
In above equation,
The total head loss is equal to zero in a closed loop.
The pressure difference
Where,
Calculation:
To solve this problem,
Assume pressure at junction,
But we know that,
We can define head loss as,
In above equation,
Assume,
Therefore,
Similarly, find the flow rate for all pipes
For pipe 2,
For pipe 3,
For pipe 4,
To find the exact value of the flow rate,
Calculate the roughness ratio
Calculate the Reynolds’s number for each pipe
For pipe 1,
For pipe 2,
For pipe 3,
For pipe 4,
Calculate the friction factor for all pipes,
For pipe 1,
For pipe 2,
For pipe 3,
For pipe 4,
Friction factors are almost same for all four pipes.
Now, calculate the exact flow rates in each pie,
For pipe 1,
For pipe 2,
For pipe 3,
For pipe 4,
Net junction flow is equal to zero, therefore,
The assumed
But for now, we can say that,
Conclusion:
The assumed
But for now, we can say that,
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Chapter 6 Solutions
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