Contribution a l’etude de la convection naturelle au sein d’un tube elliptique rempli d’un milieu poreux sature de fluide

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.