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Friction Loss
0.585
feet of water per 100 ft of pipe
Equation Hazen-Williams (US units)

What is the Head Loss per 100 ft Calculator?

This tool estimates friction head loss in a pipe using the Hazen-Williams equation, expressed in feet of water per 100 feet of pipe. It is widely used in fire-protection (NFPA 13), plumbing, and water-distribution design where water flows in full pressurized pipes at ordinary temperatures.

Diagram of water flowing through a horizontal pipe segment with friction head loss between two points
Friction causes a drop in pressure head along a length of pipe carrying flow Q.

How to use it

Enter the flow rate in US gallons per minute (gpm), the pipe inside diameter in inches, and the Hazen-Williams roughness coefficient C (about 150 for new plastic/PVC, 130 for cement-lined or new steel, 100 for older steel/iron). The result is the friction loss for every 100 feet of straight pipe. Multiply by the actual length divided by 100 to get total loss.

The formula explained

The US-unit Hazen-Williams form used here is $$h_f = 0.2083 \left(\frac{100}{\text{C}}\right)^{1.852} \frac{\text{Flow (gpm)}^{1.852}}{\text{Diameter (in)}^{4.8655}}$$ giving head loss in feet per 100 ft. Higher C (smoother pipe) lowers loss; loss rises sharply as diameter shrinks because of the \(d^{4.8655}\) term.

Annotated breakdown of the Hazen-Williams head loss formula variables
Each variable in the Hazen-Williams equation: flow Q, diameter d, and roughness coefficient C.

Worked example

For 50 gpm through a 2-inch pipe with C = 130: \((100/130)^{1.852} = 0.6149\), \(50^{1.852} = 1387.0\), \(2^{4.8655} = 29.16\). Then $$h_f = 0.2083 \times 0.6149 \times \frac{1387.0}{29.16} \approx 6.09 \text{ ft per 100 ft}$$ (values vary slightly with rounding).

FAQ

What C value should I use? Use the design value for your pipe material and age; conservative fire-protection work often uses C = 120 for steel.

Does temperature matter? Hazen-Williams assumes ordinary water near 60°F; it is not valid for hot fluids or non-water liquids.

Is this for full pipes only? Yes — the equation applies to pressurized, fully flowing pipe, not partially full gravity flow.

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