Water velocity calculator

Mean pipe velocity = volume flow rate ÷ circular cross-sectional area.

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Volumetric flow (m³/s)

Internal pipe diameter (meters)

Answer

…

Mean pipe velocity = volume flow rate ÷ circular cross-sectional area.

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Precision and calculation record

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Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Step-by-step calculation

Inputs are substituted below. Each line evaluates the next operation; intermediate values are displayed to 12 significant digits while the calculation uses full precision.

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Formula and assumptions

Assumes the circular pipe is full. This is mean velocity; it does not model local velocity profiles, pressure losses, or partly filled channels.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Water velocity calculator

Mean pipe velocity = volume flow rate ÷ circular cross-sectional area.

Assumes the circular pipe is full. This is mean velocity; it does not model local velocity profiles, pressure losses, or partly filled channels.

Next: Basic calculator

A worked example

With volumetric flow (m³/s) = 0.02, internal pipe diameter (meters) = 0.2, the mean flow velocity (m/s) is 0.6366197723675813.

Before you use the result

Assumes the circular pipe is full. This is mean velocity; it does not model local velocity profiles, pressure losses, or partly filled channels.

Example results for volumetric flow (m³/s)

These examples use Internal pipe diameter (meters): 0.2. They are reference calculations, not recommended settings.

Volumetric flow (m³/s)	Mean flow velocity (m/s)
0.01	0.318309886184
0.02	0.636619772368
0.04	1.27323954474

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