Double-Sided Couette Flow
Prepared
by W. C. Guttner
The permanent laminar flow of an incompressible viscous fluid in the space between two parallel plates can be described by a linear ODE for u(y): (d2u)/(dy2) = 1/μ (dp)/(dx), where μ is the dynamic viscosity of the fluid and (dp)/(dx) is the pressure gradient. The boundary conditions are:
This problem has an analytic solution: that varies as a function of the pressure gradient and the upper and lower plate velocity. Download the CDF file to view the simulation using the free Wolfram CDF player. |