Case 04: Water - Three Reservoir Problem
Reference: Hydraulics of Pipeline Systems, 2000, CRC Press LLC, Bruce E. Larock, Rowland W. Jeppson, Gary Z. Watters, Page 26, Example problem 2.7
Pipe Flow Expert File: Case_04_Water_Three_Reservoir_Problem.pfe
Problem Description:
Three water reservoirs are connected by three pipes. All pipes have an internal roughness of 0.5 mm.
The water surface elevations of the reservoirs are 100 m, 85 m and 60 m.
There is an external demand of 0.06 m³/s at the common junction of the pipes.
The pipe from the high reservoir to the common junction is 2000 m long and has an internal diameter of 300 mm.
The pipe from the middle reservoir to the common junction is 1500 m long and has an internal diameter of 250 mm
The pipe from the common junction to the low reservoir is 3000 m long and has an internal diameter of 250 mm.
The elevation of the common junction is unspecified.
Calculate the flow rate leaving or entering each reservoir.
Fluid Data: Water at 10° C.
Result Comparison:
|
Data Item |
Published data |
Pipe Flow Expert |
|
Flow rate leaving highest reservoir (m³/s) |
0.1023 |
0.1022 |
|
Flow rate leaving middle reservoir (m³/s) |
0.0200 |
0.0200 |
|
Outflow from Common Junction (m³/s) |
0.0600 |
0.0600 |
|
Flow rate entering lowest reservoir (m³/s) |
0.0622 |
0.0622 |
Commentary:
The published data and the calculated results compare well.