ABSTRAKT

The non-Boussinesq convection in a ventilated square cavity is studied numerically. The flow is driven by a prescribed constant inlet velocity at the top-left wall and an outlet located at the bottom-right wall. The prescribed temperature difference, between the inlet flow and the walls of the cavity, involves buoyancy forces which modify the flow. The density variations are considered by means of a low-Mach-number formulation, which is discretized by a projection scheme based on a second-order finite-difference discretization. The steady solutions associated to forced and mixed convection are presented. A discussion based on the flow and heat transfer features is proposed. Especially, the deviation from the Boussinesq model is highlighted in the case of mixed convection.