Concept explainers
The flow rate and direction in each pipe?
If
Answer to Problem 6.127P
Explanation of Solution
Given information:
For all pipes, friction factor is equal to
The fluid is water at
Inlet and exit flow rate is equal to
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:
According to the explanation given,
Equate head loss to find loss co efficient in each pipe.
For pipe AC,
Similarly, for each pipe
According to the definitions, the total head loss in a closed loop is equal to zero,
Therefore,
Assume the directions of the flow as in the figure above,
For closed loop ABC,
For closed loop BCD,
The net flow rate is equal to zero at all junctions, therefore,
By solving above equations,
We get,
To find the pressure at point B,
We know that,
Therefore,
Similarly,
Conclusion:
The flow rates in each pipe is equal to,
The pressure at point B, C and D are,
Want to see more full solutions like this?
Chapter 6 Solutions
Fluid Mechanics
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY