Online Hazen-Williams calculator

How to use the Hazen-Williams calculator

Enter the flow rate in litres per minute (L/min), the pipe's C-factor, internal pipe diameter in millimetres, and the pipe length in metres. The calculator will return the pressure loss per metre (bar/m), the total pressure loss in the pipe (bar), and the water velocity (m/s).

Remember to use the pipe's internal diameter, not the nominal bore — using the nominal diameter will give an incorrect result. If you are unsure which internal diameter to use, refer to the pipe data tables in your design standard or in FHC, which includes a library of 21 standard pipe types.

The common C-factors table below the calculator shows typical values from EN 12845. For a full explanation of how the C-factor affects pressure loss and when different values apply, see our article on the Hazen-Williams equation for fire sprinkler systems.

Hazen-Williams pressure loss

p = (6.05 × 10&sup5; / (C1.852 × d4.87)) × Q1.852 × L
Q
C
d
L
Pressure loss per metre
bar/m
Total pressure loss
bar
Velocity
m/s
Enter your values above to see results.

Common C-factors (EN 12845)

About the Hazen-Williams equation

The Hazen-Williams equation is the standard pressure loss formula used in the hydraulic design of fire sprinkler systems worldwide. It is referenced in EN 12845, BS 9251, NFPA 13, and NFPA 750, and uses the pipe roughness coefficient C to account for friction losses without requiring calculation of the Reynolds number.

The equation applies to water flowing in the turbulent range under normal temperature conditions. For systems operating outside these conditions — such as high-pressure water mist systems, or systems using additives like antifreeze or foam — the Darcy-Weisbach equation may be more appropriate. NFPA 750 permits the use of Hazen-Williams for intermediate and high-pressure water mist provided the velocity does not exceed 7.6 m/s and the minimum pipe diameter is at least 20 mm.

Related calculators and tools

If you found this calculator useful, you may also find these tools helpful:

For more complex calculations involving full pipe networks, Hcalc is a free desktop hydraulic calculator you can download and use immediately. For professional fire sprinkler and water mist system design, FHC handles complete hydraulic calculations for tree, loop, and grid networks.

To learn more about the principles behind fire protection hydraulics, visit our hydraulic calculations guide or read the step-by-step walkthrough on how to hydraulic calculate a fire sprinkler system.

Address

Canute LLP

148 Rose Bowl,

Portland Crescent

Leeds, West Yorkshire

United Kingdom LS1 3HB

t: +44 (0) 113 328 0350

e: info@canutesoft.com

Canute LLP. Registered in England & Wales, Partnership No. OC305985