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Laminar Pipe Flow

Estimate viscous flow through a fully developed circular pipe.

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Local calculations. Results are estimates, not professional advice.

Volume flow rate

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Hagen–Poiseuille law: Newtonian incompressible fluid, rigid straight circular pipe, steady fully developed laminar flow; entrance losses excluded.

Formula

Q=πr⁴ΔP/(8μL)

Estimate viscous flow through a fully developed circular pipe.

Worked example

Pipe inner radius (m)
0.01
Pipe length (m)
1
Pressure drop (Pa)
100
Dynamic viscosity (Pa·s)
0.001
Volume flow rate
0.000392699081699 m³/s

Scope and limitations

Hagen–Poiseuille law: Newtonian incompressible fluid, rigid straight circular pipe, steady fully developed laminar flow; entrance losses excluded.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 78fd906d8e13 · Example checked:

Methodology

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