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Pipe Size / Flow Rate Converter

Cross-sectional area and GPM, L/min and CFM conversions.

Inputs

Given
in
fps

Results

Computed

Flow rate

58.75 GPM

At 6.00 fps through a 2.000 in bore

Cross-sectional area3.1416 sq in
Cross-sectional area (metric)20.268 sq cm
US gallons per minute58.75 GPM
Litres per minute222.40 L/min
Cubic feet per minute7.854 CFM
Cubic metres per hour13.344 m³/h

This is a theoretical volumetric flow from area and velocity. Real systems lose capacity to friction, fittings and elevation, so size pipework from a pressure-drop calculation for anything critical.

58.8 GPM · 222.4 L/min · 3.142 sq in

FIG. 4 — FLOW = AREA × VELOCITY
IDVELOCITY v (FT/S)Q = A × v

How this is calculated

Volumetric flow is the pipe's cross-sectional area multiplied by the average fluid velocity. Area comes from the internal diameter:

area = π × (diameter ÷ 2)²

flow = area × velocity

Everything is computed in SI internally — metres and metres per second give cubic metres per second — then converted out: multiply by 15,850.32 for US gallons per minute, by 60,000 for litres per minute, and by 2,118.88 for cubic feet per minute.

Use the actual bore, not the nominal size. A nominal 2 inch schedule 40 steel pipe has an internal diameter of about 2.067 inches, while schedule 80 is only 1.939 inches — a 12% difference in flow area. Because area scales with the square of the diameter, going up one pipe size roughly doubles capacity at the same velocity.

Keep design velocities sensible: 5–8 ft/s (1.5–2.4 m/s) for domestic water supply, under 4 ft/s on suction lines, and under 2 ft/s for gravity drainage. Excessive velocity causes water hammer, noise and long-term erosion of fittings and elbows.

Worked example

Sizing a drain line for a workshop

  1. A 2 in inside-diameter line must move water at 4 ft/s.
  2. Cross-section = π × (1 in)² ≈ 3.14 sq in ≈ 0.0218 sq ft.
  3. Flow = area × velocity = 0.0218 × 4 ≈ 0.087 cu ft/s.
  4. That is about 39 US GPM, or roughly 148 L/min.
  5. If the fixture load exceeds that, step up to a 2½ in or 3 in line rather than accepting higher velocity.

Common mistakes

  • Using nominal pipe size as the diameter

    A nominal 2 in steel pipe has an inside diameter near 2.07 in; a 2 in copper tube differs again. Flow scales with diameter squared, so small ID errors swing capacity by 10% or more.

  • Designing to maximum velocity

    Cold water lines are typically designed near 4–6 ft/s and hot water near 3–5 ft/s to limit noise, erosion and water hammer. Running at the theoretical maximum leaves no headroom.

  • Ignoring friction on long runs

    Area and velocity give ideal flow. Real runs lose pressure to friction and fittings; long runs or many elbows need a pressure-drop check, not just a diameter check.

What to do with this result

Frequently asked questions