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engineering

Flow Rate Calculator

Calculate volumetric flow rate through a circular pipe from its inner diameter and flow velocity.

Flow rate
15.708 L/s
Q = (π÷4) · d² · v. Keep pipe velocity ≈ 1–3 m/s for water to limit noise and erosion.
m³/h
56.55 m³/h
m³/s
0.01571 m³/s
Cross-section area
0.00785 m²

How it works

  1. 1Enter the pipe inner diameter (mm or in) and the mean flow velocity (m/s or ft/s).
  2. 2The calculator applies Q = (π/4)·d²·v to compute the volumetric flow rate.
  3. 3Results show L/s or gpm, plus m³/h or cfm and the pipe cross-section area.

Use cases

  • Sizing water-supply and drain pipes in building plumbing design.
  • Verifying pump selection by matching rated flow to pipe capacity.
  • Estimating irrigation or process flow through existing pipework.

Frequently asked questions

What formula does the calculator use?

Q = A × v = (π/4)·d²·v. A 100 mm pipe at 2 m/s gives A = 0.007854 m² and Q ≈ 0.01571 m³/s (15.71 L/s).

What is a good flow velocity for water pipes?

Keep velocity between 1 and 3 m/s. Below 0.5 m/s sediment can settle; above 3 m/s noise, erosion, and surges become a problem.

How do I convert L/s, m³/h, and gpm?

1 L/s = 3.6 m³/h ≈ 15.85 gpm. Toggle between metric and imperial to see the result in your preferred units.

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