Numerical simulation on mixed convection in U-shaped lid-driven cavity with non-uniform temperature on sidewalls using multi relaxation time lattice Boltzmann method

Abstract

In the present work, we numerically investigated the mixed convection in a U-shaped lid-driven cavity with non-uniformly heated sidewalls by using the MRT-LBM technique to stimulate the flow behavior and temperature fields. Both vertical walls (Left and Right) are non-uniformly heated, and the top horizontal wall is kept at adiabatic and moving with constant velocity u0. The bottom U-shaped wall is kept at constant temperature. The results are presented for different parameters such as Richardson number (0.01−100), Prandtl number (0.7,1,7), aspect ratio of geometry (0.1,0.3,0.5,0.7,0.9), Grashof number (103,105,106,4 ×104,9 ×104). Nusselt number is also calculated along the heated wall. Our results demonstrate that the heat transfer rate at non-uniformly heated walls increases with an increase in the aspect ratio.