Laminar Natural Convection in a Complicated Cavity With Spatially Variable Upper Wall Temperature

The study of natural convection inside a two-dimensional cavity with one and three undulations on the right vertical wall has been carried out where the top wall is heated by a spatially varying temperature and other three walls are cold walls. Non-orthogonal body-fitted coordinate system and SIMPLE algorithm with higher-order upwinding scheme are used. The streamline pattern shows two cells are formed separated at the middle vertical plane for both the configurations. The center of the cells is lifted upwards with increase in Ra. The heat rejection from the fluid to the right wall increases for the uppermost undulation whereas there is not much improvement of heat transfer for the other two in the three undulation case. For this particular configuration, the heat rejection increases with increase of Ra for the uppermost undulation and decreases with increase of Ra for the other two undulations. The overall improvement of heat rejection has been observed for three undulation case compared with one undulation case.