Abstract:
The purpose of the present paper is to analyze numerically the flow and heat transfer by steady laminar natural convection in a elliptical horizontal annulus filled with a Newtonian incompressible fluid saturated porous medium, with an isothermal inner and outer boundary. This study is carried out using the Darcy flow model, Boussinesq’s approximation and the vorticity-stream function formulation, the continuity and the momentum equations are expressed in a frame of reference known as "elliptic ", to facilitate the writing of the boundary conditions and to transform the curvilinear field into a rectangular field. A computer code was developed, using finite volume method. The stream lines and temperature distributions are presented and analyzed, examining the slope, geometric parameters and Rayleigh-Darcy effect.
