Reference:  Hydraulics of Pipeline Systems, 2000, CRC Press LLC, Bruce E. Larock, Rowland W. Jeppson, Gary Z. Watters, Page 222, Example problem 5.37


Pipe Flow Expert File: Case_09_Water_Turbine_Power_Available.pfe


Problem Description: 

Water is pumped from a reservoir with a 500 ft surface elevation to an outlet point at 600 ft elevation.

This outlet point must provide water at 40 psig pressure.

An outlet at 450 ft elevation provides 0.5 ft³/s of water at 0.0 psig. 

A further outlet at 200 ft elevation provides 1.0 ft³/s of water at 20.0 psig. 


1. Calculate the flow rate available from the 40 psig outlet point. 


2. What head could be recovered by a turbine positioned in the 20 psig outlet leg, while the outlet flow and pressure demand are still being met?


A screenshot of a computer??Description automatically generated


Fluid Data: Water at 50° F (assumed).


Result Comparison: 


Data Item

Published data

Pipe Flow Expert

Flow rate from 40 psig outlet point (ft³/s)

0.976

0.9728

Head available to be recovered by a turbine (ft)

403.3

403.13


Commentary: 

The published data and the calculated results compare well.