Steady natural convection flows in a square cavity with linearly heated side wall(s) (Q865885)

The aim is to study the circulations, temperature distributions within a square cavity and heat transfer rate at the heated walls in terms of local and average Nusselt numbers as a function Rayleigh number when the bottom wall is heated uniformly, left vertical wall is heated linearly and right vertical wall is either linearly heated or cooled. Galerkin FEM with penalty parameter is used to solve the nonlinear coupled PDEs for flow and temperature field. Some numerical results are presented.