The recirculating flow due to a moving lid on a cavity containing a Darcy–Brinkman medium

The lid-driven rectangular cavity containing a porous Darcy–Brinkman medium is studied. The governing equation is solved by an eigenfunction method which is much simpler than using biorthogonal series. It is found that the porous medium effect decreases both the strength and the number of recirculating eddies, especially for deep cavities.