How does the Poiseuille Law Calculator work?

Enter pressure difference, pipe radius, length, and dynamic viscosity Then: The calculator applies Q = (π × ΔP × r⁴) / (8 × η × L) Then: Results show volumetric flow rate.

Can you give an example of how to use the Poiseuille Law Calculator?

Example: Input ΔP = 1000 Pa, r = 1 mm, L = 1 m, η = 0.001 Pa·s (water) gives a result of Q ≈ 0.39 mL/s (Surprisingly slow).

Is the Poiseuille Law Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Poiseuille Law Calculator?

Our Poiseuille Law Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Poiseuille Law Calculator

Poiseuille's Law

Viscosity (Pa·s)

Radius (m)

Pressure Drop (Pa)

Length (m)

Poiseuille's law quantifies laminar flow through cylindrical pipes. It shows how flow rate depends on pressure, pipe dimensions, and fluid viscosity.

Symbol	Name	Unit	Description
Q	(π × ΔP × r⁴) / (8 × η × L)	—	(π × ΔP × r⁴) / (8 × η × L)
L	L value	—	Variable used in the calculation

Difficulty:intermediate

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Did You Know?

Poiseuille's law explains why blood pressure remains high despite resistance; even healthy arteries require substantial pressure to maintain adequate flow.

References

›Hagen-Poiseuille Equation

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Poiseuille Law Calculator

Poiseuille's Law

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Poiseuille's Law