Stokes Flow - Stokes Equations

Stokes Equations

For this type of flow, the inertial forces are assumed to be negligible and the Navier–Stokes equations simplify to give the Stokes equations:

where is the Cauchy stress tensor, and an applied body force. There is also an equation for conservation of mass. In the common case of an incompressible Newtonian fluid, the Stokes equations are:

Here is the velocity of the fluid, is the gradient of the pressure, and is the dynamic viscosity.