The impact of imposed Couette flow on the stability of pressure-driven flows over porous surfaces

We present linear stability analysis of a pressure-driven flow in fluid-layer overlaying porous media the presence Couette component introduced by an upper impermeable wall. model dynamics Brinkman equation and couple it with Navier–Stokes for flows fluid-layer. The effect on is discussed detail varying permeability relative thickness fluid to layers. results show that changes from destabilizing stabilizing at certain velocity This velocity, called cutoff highly dependent medium characteristics. drops as surface decreases or layer increases. Imposing shifts instability mode due generation vortices interface when approaches also performed energy budget provide physical interpretation behavior flow. found production Reynolds stress causes disturbances grow which consequently triggers instability.