Concept explainers
The equation for unknown flow rates or diameters for each pipe section in the pipe networks and branching pipes.
The analogy between the electric current in electric circuits and fluid flow in pipe networks.
Answer to Problem 186P
The total discharge in the branched pipe is
The analogy of network pipe is
Explanation of Solution
The following figure represents the branched pipes.
Figure-(1)
Write the expression for the area of pipe.
Here, the diameter of pipe is
Write the expression for the discharge rate in the pipe.
Here, the discharge in the pipe is
Write the expression for head loss in the pipe.
Here, the loss head is
Write the expression for total discharge in branched pipes.
Here, the total discharge in pipe is
Write the expression for head loss in the pipe 1.
Here, the velocity in pipe 1 is
Write the expression for head loss in the pipe 2.
Here, the velocity in pipe 2 is
The following figure represents the T-pipe network.
Figure (2)
Write the expressions for head loss in pipe 1.
Write the expressions for head loss in pipe 2.
Write the expressions for head loss in pipe 3.
Here, the discharge in pipe 3 is
Write the expression for loop method.
Here, the analogy of network pipe is
Calculation:
Substitute
Here, the area of pipe 1 is
Substitute
Here, the area of pipe 2 is
Substitute
Substitute
Substitute
Substitute
Substitute
The total discharge in the branched pipe is
Substitute
The analogy of network pipe is
Conclusion:
The analogy of network pipe is
The total discharge in the branched pipe is
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Chapter 8 Solutions
Fluid Mechanics: Fundamentals and Applications
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