Poiseuille Flow

Model
AliasesHagen-Poiseuille Flow

Definition

Poiseuille Flow describes the steady laminar flow of an incompressible Newtonian fluid driven by a pressure gradient through a channel or pipe.

Velocity Profile (Circular Pipe)

u(r)=14μ(−dpdz)(R2−r2)u(r) = \frac{1}{4\mu}\left(-\frac{dp}{dz}\right)(R^2 - r^2) The profile is parabolic.

Volumetric Flow Rate

Q=πR48μ(−dpdz)Q = \frac{\pi R^4}{8\mu}\left(-\frac{dp}{dz}\right)

Relationships