Reference:  2500 Solved Problems in Fluid Mechanics and Hydraulics, 1989, McGraw-Hill, Jack B. Evett, Ph. D., Cheng Liu, M.S., Page 280, Example problem 11.7


Pipe Flow Expert File: Case_23_Water_Pressure_Loss_Around_A_Loop.pfe


Problem Description: 

A pipe system contains a loop of unequal size pipes. 


The portion of the loop with larger pipe sizes will handle a greater portion of the total flow rate passing through the loop.


The flow rate and pressure entering the loop are specified.


Find the pressure at a point in the pipework 3200 ft downstream of the loop.


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Fluid Data: Water at 68°F (µ= 2.11 x 10-5 lb · s/ft2).


Result Comparison: 


Data Item

Published data

Pipe Flow Expert

Pressure at 3200 ft downstream (psig)

88.2 

 88.3602

Pressure leaving the loop (psig)

93.9

93.9151

Flow rate around upper loop (ft3/s)

0.3508

0.3491

Flow rate around lower loop (ft3/s)

0.7492

0.7509


Commentary: 

The published data and the calculated results compare well.