Energy dissipation in a shear layer with suction

Abstract

The influence of suction on shear flows was investigated by considering a layer of an incompressible Newtonian fluid with constant kinematic viscosity confined between parallel rigid planes. The problem was formulated as a plane Couette flow with suction on one wall and injection on the other. It was found that plane Couette flow is linearly stable. However, in the, θ-Re plane, the marginal curve for linear instability exhibited a minimum at the large but finite value Re≈700000. Further, it was observed that the critical Reynolds number grows large as θ increases from the minimum point.