Double-Sided Couette Flow
The permanent laminar flow of an incompressible viscous fluid in the space between two parallel plates can be described by a linear ODE for : , where is the dynamic viscosity of the fluid and is the pressure gradient.[more]
The boundary conditions are:
(lower plate velocity),
(upper plate velocity).
This problem has an analytic solution:
that varies as a function of the pressure gradient and the upper and lower plate velocity.[less]