Laminar Pipe Flow (Poiseuille)
Q = π·r^4·Δp / (8·μ·L)
What it says
The Hagen-Poiseuille law gives the volumetric flow rate of a viscous fluid in steady laminar flow through a cylindrical pipe.
Symbols
| Symbol | Quantity | Dimension |
|---|---|---|
Q | Volumetric flow rate (m^3/s) | L^3 T^-1 |
r | Pipe radius (m) | L |
ΔP | Pressure drop (Pa) | M L^-1 T^-2 |
μ | Dynamic viscosity (Pa·s) | M L^-1 T^-1 |
L | Pipe length (m) | L |
Work it out
Enter what you know. No account needed.
Connects to
Filed under Fluid dynamics · derive through it in the explorer