MIXED CONVECTION THROUGH A LID-DRIVEN AIR–FILLED SQUARE CAVITY WITH A HOT WAVY WALL

Numerical simulation of mixed convection air flow through a lid-driven square cavity is studied. Physical problem consists of a square lid-driven cavity filled with an air. The top and bottom surfaces are thermally insulated, while the right wall is considered wavy and it is maintained at isothermal hot temperature with different undulations and the left wall is a lid–driven which is maintained at isothermal cold temperature. The problem considered deals with a two-dimensional internal, laminar, lid-driven flow over a square air-filled cavity. The two-dimensional mass, momentum and energy equations with Boussinesq approximation are discretised using the control volume based on finite-volume method with collocated variable arrangement. The flow characteristics are evaluated for Prandtl number at 0.71 and the amplitude of the wavy surface varies from 0 to 0.075. This study included computations for cavities at Grashof number, 104 and Richardson number ranging 0.01, 1.0 and 10 with one, two and three undulations. The results are presented in terms of isotherms and streamlines plots as well as the local heat flux is computed with different number of undulations.It is found that the two-dimensional flow is characterized by the vortices that are initiated by the existence of buoyancy effect. The results explain that the flow field is dominated by a rotating one cell filling the cavity. The results showed a good agreement with other published results