Minimum dissipation rate flow with given flux
Joseph Bishop Keller · Journal of Fluid Mechanics · 2003
Flow of a viscous incompressible fluid through a conduit with rigid walls is considered, with the flux given at the entrance and exit. The velocity distribution which minimizes the rate of energy dissipation is characterized. It is a Stokes flow with the surface stress equal to a constant pressure at the entrance and another constant pressure at the exit.