Free 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
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)
The R^4 dependence means doubling the radius increases flow by 16 times.
Example Calculation
Water (mu = 0.001 Pa s) through a 1 cm radius, 1 m long pipe with 1 kPa pressure drop.
- 01Q = pi * (0.01)^4 * 1000 / (8 * 0.001 * 1)
- 02R^4 = 1e-8
- 03Q = pi * 1e-8 * 1000 / 0.008
- 04Q = pi * 1e-5 / 0.008 = 3.927e-3 m3/s
- 05Q = 235.6 L/min
Frequently Asked Questions
Learn More
Understanding Newton's Laws of Motion
A comprehensive guide to Newton's three laws of motion. Learn about inertia, force and acceleration, action-reaction pairs, and how these principles govern everyday physics.