Hazen-Williams & Pin Down the Head a Pipe Costs
Sizes PVC
Every metre of friction loss is pressure the pump must add — enter the flow, diameter, length and C factor and get the friction head loss in metres by the Hazen-Williams equation for PVC, HDPE, GI or steel.
Enter your pipe run
Next: add this head loss to your static lift and operating pressure when sizing the pump; if it's high, step up to the next pipe diameter — friction loss falls steeply (≈D⁻⁴·⁸⁷) so one size larger often halves it.
Hazen-Williams (SI): hₗ = 10.67·L·Q¹·⁸⁵² / (C¹·⁸⁵²·D⁴·⁸⁷).
Hazen-Williams — key facts
- Formula
- hf = 10.67·L·Q^1.852 ÷ (C^1.852·D^4.87)
- Q units
- m³/s (tool takes L/s)
- D units
- m, inside diameter (tool takes mm)
- C — new PVC/HDPE
- ≈ 150
- C — new GI / lined
- ≈ 140
- C — steel / old iron
- ≈ 100–120
- Diameter power
- loss ∝ 1 ÷ D^4.87
- Privacy
- Runs in your browser; nothing uploaded
Friction is the hidden pressure tax on every pipe run
Water dragging along a pipe wall loses pressure to friction, and that loss is the part of a pump's head you cannot see on a gauge until the pump is undersized. The Hazen-Williams equation predicts it from the flow, the inside diameter, the length and a roughness coefficient C that captures the pipe material and age. Because loss falls with diameter to the power 4.87, one pipe size up is the cheapest way to save pumping energy for the life of the system.
This tool returns the friction head loss in metres for any flow, diameter, length and C, so you can size a mainline or lateral, budget pump head, and keep emitter pressure uniform. Pair it with the Pipe Size, Irrigation Pump Power and Total Dynamic Head tools for a full hydraulic design.
Budget pump head
Add friction loss to lift and pressure for true head.
Size the pipe right
Try diameters and see loss drop with the 4.87 power.
Keep uniformity
Hold lateral loss to a fraction of operating pressure.
Any material
PVC, HDPE, GI or steel — just set the C factor.
Frequently Asked Questions
What formula does this calculator use?+
It uses the SI form of the Hazen-Williams equation: head loss = 10.67 × L × Q^1.852 ÷ (C^1.852 × D^4.87), where L is the pipe length in metres, Q is the flow in cubic metres per second, C is the roughness coefficient and D is the inside diameter in metres. The tool takes your flow in litres per second and diameter in millimetres, converts them, and returns the friction head loss in metres.
What is the Hazen-Williams C factor?+
C is a roughness coefficient: the smoother the pipe, the higher the C and the lower the friction loss. Typical values are about 150 for new PVC and HDPE, 140 for cement-lined or new GI, 130 for older plastic, and 100–120 for steel and aged iron. Picking the right C for your pipe material and age is the single biggest influence on the answer, so use the value for the condition you expect over the pipe's life, not just when new.
Why does friction loss matter in irrigation?+
Every metre of friction head loss is pressure the pump has to add on top of the lift and operating pressure, so it directly raises energy use and running cost. In drip and sprinkler systems excessive loss along a mainline or lateral also makes the far emitters run at lower pressure than the near ones, hurting uniformity. Sizing pipe to keep friction loss reasonable is a core part of designing an efficient system.
How do I lower the friction loss this shows?+
The strongest lever is diameter — loss falls with D to the power 4.87, so going up one pipe size dramatically cuts it. Beyond that, use a smoother material (higher C), shorten the run, or split the flow. Because loss rises with flow to the power 1.852, reducing the flow in a given pipe helps too. The tool lets you try each change and see the new head loss immediately.
Does Hazen-Williams work for all fluids?+
Hazen-Williams is an empirical formula calibrated for water at ordinary temperatures flowing turbulently in full pipes, which covers nearly all irrigation. It is not valid for very viscous fluids, very small or very large velocities, or partly full pipes — for those the Darcy-Weisbach equation is more general. For farm water in PVC, HDPE, GI or steel, Hazen-Williams is the standard and is what this tool applies.
Should I use the inside or outside diameter?+
Always the inside (bore) diameter, because that is the cross-section the water actually flows through. Pipe is often sold by nominal or outside size, so check the schedule or class to find the true internal diameter, especially for thick-walled HDPE and high-pressure PVC where the wall takes up a large share. Using the outside diameter will understate the friction loss.
How much head loss is acceptable?+
A common design rule keeps mainline velocity around 1.5 m/s and limits friction loss so it is a modest share of the total head, and on drip and sprinkler laterals the loss is often held to about 10–20% of the operating pressure to keep emitter flow uniform. The right limit depends on the system, but the tool gives you the number to check against whatever target your design uses.
Does the calculator include fitting losses?+
No — it returns the friction loss along the straight pipe only. Valves, bends, tees and the emitters or sprinklers themselves add 'minor' losses on top, which are often estimated as an equivalent extra length of pipe or a percentage of the straight-run loss. For a full head budget, add those minor losses to the friction figure this tool reports before sizing the pump.