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Calculating pressure loss in piping systems with the Equivalent Pipe Length Method
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An efficient and simple way to calculate the pressure loss in a piping system is the "Equivalent Pipe Length Method".
Make a diagram where the system is divided into sections with only one size of pipe and one flow rate in each section. Number the pipe sections.

In the very simply circulating system used in this example, the first pipe section goes from the pump, splits into the two sections - two and four. Section two and four merges back to pipe three that goes back to the pump.
Make a table where the pressure loss in each sections can be calculated. Add all sections as shown below:
| Section | Pipe Size
(inches) |
Flow
(gal/min) |
Pressure
Loss
(ft/100ft) |
Systems Components | Equivalent
Length of Component
(ft) |
No. Components | Equivalent
Length
(ft) |
Section
Pressure Loss
(ftH2O) |
Total
Pressure Loss - Path 1
(ftH2O) |
Total
Pressure Loss - Path 2
(ftH2O) |
| 1 | 90 deg Elbows | 2.5 | 2 | 5.0 | ||||||
| 45 deg Elbows | 1.4 | 4 | 4.0 | |||||||
| Straight Pipe | 1.0 | 20 | 20.0 | |||||||
| SUM 1 | 1 | 10 | 9.6 | 30.6 | 2.9 | 2.9 | 2.9 | |||
| 2 | Tee | 1.4 | 2 | 2.8 | ||||||
| 90 deg Elbows | 2.5 | 4 | 10.0 | |||||||
| Straight Pipe | 1.0 | 12 | 12.0 | |||||||
| SUM 2 | 3/4 | 8 | 15 | 24.8 | 3.7 | 3.7 | ||||
| 3 | 90 deg Elbows | 2.5 | 2 | 5.0 | ||||||
| 45 deg Elbows | 1.4 | 4 | 4.0 | |||||||
| Straight Pipe | 1.0 | 10 | 10.0 | |||||||
| SUM 3 | 1 | 10 | 9.6 | 20.6 | 2.0 | 2.0 | 2.0 | |||
| 4 | Tee | 1.4 | 2 | 2.8 | ||||||
| 90 deg Elbows | 2.5 | 4 | 10.0 | |||||||
| Balancing Valve | 21.0 | 1.0 | 21.0 | |||||||
| Straight Pipe | 1.0 | 12 | 12.0 | |||||||
| SUM 4 | 1/2 | 3 | 8 | 45.8 | 3.7 | 3.7 | ||||
| Total SUM | 8.6 | 8.6 |
An excel template with the table can be found here:
Note! The flow and pressure units must be adjusted to the data available for your piping system.
Add pipe size in each section. Use tabulated data (or a nomographs). This example is based on PVC pipes schedule 40
to determine size. For thermoplastic pipes velocites above 5 ft/sec should be avoided. Add the pressure (head) loss for the actual flow in each pipe section.
The pressure loss may alternatively be calculated with the Hazen-Williams Equation or the Darcy-Weisbach Formula.
Add the equivalent length of all valves, fittings and straight pipes in the sections.
Calculate and summarize the pressure loss in each section.
Finally, add up the pressure loss in all sections that form unique paths. In the example above there are two unique paths - one is section 1 - 2 - 3, the other is section 1 - 4 - 3.
Extra columns is necessary and should be added in more complicated systems.
The highest pressure loss determines the pump head.
Add valves where it is necessary to balance the system. In the example above a balancing valve is added in section four.
Note! The Equivalent Pipe Length Method can be adapted to most piping systems - even supply systems, gravity systems and similar.
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