Natural convection in a wavy enclosure filled with porous media

We study heat transfer and fluid flow in a complex enclosure filled with porous media, with SIMPLEC (Semi-Implicit Method for Pressure Linked Equations Consistent) algorithm in curvilinear coordinates. The upper and lower walls of the enclosure are horizontal and adiabatic. The vertical wall forms cosine curve and is kept at a constant temperature. Governing equations are discretized with a finite-volume method on body-fitted collocated grids. Brinkman-extended-Darcy model and local thermal non-equilibrium model are used to solve momentum and energy equations. Effects of parameters, such as Rayleigh numbers, Darcy numbers and porosity, on heat transfer and fluid flow are studied. It is shown that Rayleigh numbers and Darcy numbers have significant effect while porosity is negligible. There exists an optimal aspect ratio to make the heat transfer rate maximum.