Materials & Quantities

Domestic Water Pipe Friction Loss Calculator (Hazen-Williams)

Calculate the friction head loss in a domestic water supply pipe run using the Hazen-Williams formula.

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The total length of the pipe run.

Measure the full length of the pipe run carrying the flow, from source to fixture or point of use.

The design flow rate through the pipe.

Use the peak or design flow rate expected in this pipe run, in the unit shown.

The pipe material's Hazen-Williams roughness coefficient.

Higher C values represent smoother pipes with less friction loss per unit length; older, corroded, or rougher pipes use a lower C value.

The pipe's actual internal (bore) diameter.

Use the pipe's internal diameter, not its nominal size or outside diameter — this can differ noticeably by pipe material and schedule.

Friction head loss

17.96 ft

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How this was calculated

Formula source(s)

  • Hazen-Williams equation (SI units): hf = 10.67 × L × Q^1.852 ÷ (C^1.852 × D^4.8704), where L is pipe length (m), Q is flow rate (m³/s), C is the Hazen-Williams roughness coefficient, and D is the pipe's internal diameter (m)

Inputs used

Pipe Length
165 ft
Flow Rate
79 gal/min
Hazen-Williams Coefficient C (150 for New Copper/Plastic, 140 for New Steel)
150
Internal Pipe Diameter
2 in
Final result17.96 ft

What this calculation does not cover

  • Hazen-Williams is an empirical fit to cold water in turbulent flow, roughly 40 to 75 °F (4 to 24 °C) at velocities in the 2 to 10 ft/s (0.6 to 3 m/s) band. Outside that it drifts: glycol-charged loops, hot recirculating mains and low-flow trickles are Darcy-Weisbach problems, where viscosity enters the calculation instead of being absorbed into a single C value. The formula still returns a number for any of them; it is just not the loss you will measure.
  • Head loss is one term of the pressure the fixture actually sees. What is available is the incoming main, less the static lift to the outlet, less this friction, less the fittings, and less every device in the line — a meter, a backflow preventer, a filter and a softener can take 20 to 30 psi (207 kPa) between them. A run whose friction loss looks comfortable here can still open at a shower with nothing left.
  • Velocity is not reported, and velocity is often what sizes the pipe rather than head loss. Copper is normally held near 8 ft/s cold and 5 ft/s or less on hot recirculating lines, because water moving faster erodes the inside of elbows and tees over the years and makes the pipe audible in the wall. A small pipe on a short run can pass a friction check comfortably and still be the wrong size.
2 in
Schematic, drawn to the proportions you entered — not to scale on screen.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-09-06 · in the site-wide review of 2026-09-06 · v1.1.1

Regulatory standards & verification citations1
  1. Hazen-Williams equation (SI units): hf = 10.67 × L × Q^1.852 ÷ (C^1.852 × D^4.8704), where L is pipe length (m), Q is flow rate (m³/s), C is the Hazen-Williams roughness coefficient, and D is the pipe's internal diameter (m)
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Most jobs need more than one number. Add the calculators you need next and they open right here, underneath this one — your figures stay on screen and nothing is lost to a page change.

Now that you have the number

These guides cover the work this quantity is for — the first ones run this calculator inside the section that raises the question.

  • A shower that dies when a tap opens is a flow problem, not a pressure one, and the service pipe has to be measured before anyone prices a pump.

  • Fixing Dry Spots in a Lawnuses this calculator

    The same patch browns every August. Cans on a grid separate a run-time fault from a spacing, pressure or soil fault before anything is bought.

  • A shower valve carries a minimum working pressure on its box, and a loft-fed house rarely has it — so four measurements decide the product, not the showroom.

Still deciding? Fixture Units vs Friction Loss — the factors that actually differ, with no invented prices.

How to calculate domestic water pipe friction loss (Hazen-Williams) in 5 steps

  1. Pipe LengthThe total length of the pipe run.
  2. Flow RateThe design flow rate through the pipe.
  3. Hazen-Williams Coefficient C (150 for New Copper/Plastic, 140 for New Steel)The pipe material's Hazen-Williams roughness coefficient.
  4. Internal Pipe DiameterThe pipe's actual internal (bore) diameter.
  5. Friction head lossThe tool computes the friction head loss from those figures and shows the formula, its sources, and a confidence rating alongside it.

Friction head loss by pipe length

Page defaults, not your figures above.

Pipe LengthFriction head loss (ft)
100 ft11.8
150 ft17.7
200 ft23.7
250 ft29.6
300 ft35.5

Frequently asked questions

What does the Hazen-Williams C coefficient represent?
It's an empirical roughness coefficient for the pipe material and condition — smoother pipes like new copper or plastic use a higher C (around 150), while older or rougher steel pipe uses a lower C (around 140), which increases the calculated friction loss.
Why does pipe diameter have such a large effect on the result?
The Hazen-Williams equation raises diameter to the power of 4.8704 in the denominator, so even a modest reduction in internal diameter causes a much larger increase in friction head loss for the same flow rate.
Does this calculator include losses from fittings and valves?
No — this calculates straight-pipe friction loss only, based on the Hazen-Williams equation. Fitting and valve losses should be added separately, typically by converting them to an equivalent length of straight pipe.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.