basic

Hagen-Poiseuille Volumetric Flow Calculator

Q = π · r⁴ · ΔP / (8 · η · L) for laminar pipe flow.

Compute the volumetric flow rate of an incompressible Newtonian fluid in laminar flow through a circular pipe using the Hagen-Poiseuille law: Q = π · r⁴ · ΔP / (8 · η · L).

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

mm
Pa
Pa·s
m

Results

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

Q = π · r⁴ · ΔP / (8 · η · L)

In depth

Compute the volumetric flow rate of an incompressible Newtonian fluid in laminar flow through a circular pipe using the Hagen-Poiseuille law: Q = π · r⁴ · ΔP / (8 · η · L).