Mixed Convection in a Lid-Driven Two-Dimensional Square Cavity with Corner Heating and Internal Heat Generation

The aim of the numerical study is to investigate the mixed convection flow and heat transfer in a square lid-driven cavity with corner heating and internal heat generation or absorption. The top wall of the cavity is moving at a constant speed in its own plane. A portion of the left and bottom walls of the cavity are kept at a constant temperature; that is, the heaters are fixed at the left bottom corner of the cavity. The right wall is maintained at lower temperature and the remaining portions of the cavity are insulated. The finite volume method is used to discretize the governing equations that are then solved iteratively. The results are obtained for different lengths of the heaters, Richardson numbers, and internal heat generation or absorption parameters. It is observed that the heat transfer rate is enhanced at forced convection dominated regime when the vertical length of the heater is higher than that of the horizontal length.