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Pipe flow velocity calculator: flow rate and diameter

Calculate the speed of water in a pipe from the flow rate and the inner diameter, check it against usual limits and find the Reynolds number.

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Velocity

7.26 ft/s

Fast: above the usual limit of about 2 m/s (6.5 ft/s) for water supply
In m/s
2.21 m/s
Reynolds number (water at 20 °C)
41,999
Turbulent flow
Inner diameter for the target velocity
0.90 in

Why water velocity matters

The speed of water in a pipe drives noise, pressure loss, water hammer and erosion. Too fast and pipes whistle, fittings wear and valves slam; too slow and pipes are oversized, more expensive and, in hot water lines, slow to deliver hot water.

The formulas

  • Area = π × d² ÷ 4, using the inner diameter
  • Velocity v = Q ÷ A
  • Reynolds number Re = v × d ÷ ν, with ν ≈ 1.0 × 10⁻⁶ m²/s for water at 68 °F (20 °C)
  • Diameter for a target velocity d = √(4Q ÷ (π × v))

Worked example

A shower and a kitchen faucet together draw 10 gpm through a pipe with an inner diameter of 0.75 in:

  1. Q = 10 gpm = 0.000631 m³/s.
  2. A = π × 0.01905² ÷ 4 = 0.000285 m².
  3. v = 0.000631 ÷ 0.000285 ≈ 2.21 m/s = 7.26 ft/s.
  4. Re ≈ 42,000: fully turbulent flow.
  5. To bring the velocity down to 5 ft/s, the inner diameter would need to be about 0.90 in, roughly a 1 in nominal pipe.
Application Typical maximum
Cold water supply, copper 8 ft/s (2.4 m/s)
Hot water supply, copper 4–5 ft/s (1.2–1.5 m/s)
Hot water recirculation 2–3 ft/s (0.6–0.9 m/s)
Pump suction lines 2–4 ft/s (0.6–1.2 m/s)
Hydronic heating 2–4 ft/s (0.6–1.2 m/s)
Irrigation (PVC) 5 ft/s (1.5 m/s)

Copper Development Association guidance and many plumbing codes use these figures to limit erosion corrosion and noise.

Inner diameters of common pipes

Nominal size Type L copper PEX (SDR 9) Schedule 40 PVC
1/2 in 0.545 in 0.475 in 0.622 in
3/4 in 0.785 in 0.671 in 0.824 in
1 in 1.025 in 0.862 in 1.049 in

Always use the inner diameter: nominal size alone can be off by 20% or more.

Laminar or turbulent?

Below Re ≈ 2,300 flow is smooth and layered; above about 4,000 it is turbulent and mixes strongly. Domestic water flow is almost always turbulent, so friction loss formulas such as Hazen-Williams or Darcy-Weisbach with a turbulent friction factor apply.

Next step

Velocity is only half the story. Long runs also need a pressure loss check to be sure enough pressure remains at the farthest fixture. Combine this result with the pump power calculator when you size a booster or well pump.

Frequently asked questions

How do you calculate velocity in a pipe?

Divide the flow rate by the cross-sectional area: v = Q ÷ (π × d² ÷ 4). 10 gpm in a 3/4 in inner diameter pipe gives about 7.3 ft/s.

What is a good water velocity in a pipe?

For household water supply, about 2 to 8 ft/s, with 5 ft/s a common design target for copper. Above about 8 ft/s, noise, water hammer and erosion increase.

Should I use the nominal or the inner diameter?

The inner diameter. Nominal sizes are labels; a 3/4 in type L copper tube has an inner diameter of about 0.785 in, and PEX of the same size is smaller.

What does the Reynolds number tell me?

Whether flow is smooth (laminar, below about 2,300) or turbulent (above about 4,000). Water in household pipes is almost always turbulent, which matters for friction loss calculations.

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Results are estimates provided for information purposes. They do not replace professional advice.