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Variational bounds on energy dissipation in an incompressible channel flow with uniform injection and suction

Research paper by Q. Wei

Indexed on: 01 Mar '02Published on: 01 Mar '02Published in: Acta mechanica



Abstract

A variational principle for lower bounds on the time-averaged mass flux in an incompressible channel flow with uniform wall injection and suction is derived from the incompressible Navier-Stokes equations. With appropriate test background flow fields, the explicit estimates for the friction coefficient are produced and discussed.