Viscous Flow Rate Calculator

Calculate the volumetric flow rate through a pipe using the Hagen-Poiseuille equation: Q = pi * R^4 * dP / (8 * mu * L).

m
Pa
Pa s
m

Flow Rate

0.0039269908 m3/s

Flow Rate (L/min)235.6194 L/min

Flow Rate vs Pipe Radius

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Formule

## Hagen-Poiseuille Flow For steady, laminar, incompressible flow through a long circular pipe, the flow rate depends strongly on the pipe radius. ### Formula **Q = pi R^4 dP / (8 mu L)** - *R* = pipe radius - *dP* = pressure drop along the pipe - *mu* = dynamic viscosity - *L* = pipe length The R^4 dependence means doubling the radius increases flow by 16 times.

Exemple Résolu

Water (mu = 0.001 Pa s) through a 1 cm radius, 1 m long pipe with 1 kPa pressure drop.

  1. 01Q = pi * (0.01)^4 * 1000 / (8 * 0.001 * 1)
  2. 02R^4 = 1e-8
  3. 03Q = pi * 1e-8 * 1000 / 0.008
  4. 04Q = pi * 1e-5 / 0.008 = 3.927e-3 m3/s
  5. 05Q = 235.6 L/min