Mixed convection in a lid-driven square cavity with partial slip

Steady laminar mixed convection inside a lid-driven square cavity filled with water is studied numerically. The lid is due to the movement of the isothermal top and bottom walls which are maintained at Tc and Th, respectively, with Th is higher than Tc. A partial slip condition was imposed in these two moving walls. The vertical walls of the cavity are kept adiabatic. The appliance of the numerical analysis was USR finite difference method with upwind scheme treatments of the convective terms included in the momentum and energy equations. The studied relevant parameters were: the partial slip parameter S (0-∞); Richardson number Ri (0.01-100) and the direction of the moving walls (λt = 1, λb = ±1). The results have showed that there are critical values for the partial slip parameter at which the convection is declined.