High-incidence 3-D Lid-driven Cavity Flow

This study is motivated by three-dimensi onal impinging flows with high angle of incidence between the flow and surrounding rigid walls in a spatial corner. To keep the simple cubic geometry, the 3-D rectangular cavity flow is considered where the cavity lid moves along its diagonal (Case A) as opposed to the previous studies where the lid moves parallel to the cavity side walls (Case B). These 3-D lid-driven cavity flows are studied by numerical modeling using secondorder upwind schemes for convective terms. In Case A, th€ integral momentum of the tertiary flow, which is perpendicular to the lid direction, is about an order of magnitude larger than that in Case B. The nonprimary vortices in the central part of the cavity in Case A distinguishes it from Case B, where only corner secondary vortices appear. The estimated Gortler number is approximately 4.5 times larger for Case A than that in Case B for the same Re number. This indicates that in Case A the flow becomes unsteady for substantially smaller Re numbers than in Case B.