Effects of Anisotropy on Natural Convection in a Vertical Porous Cavity Filled with a Heat ....

This thesis focused on the mathematical analysis of natural convection heat transfer in a vertical cavity containing a porous medium and a heat source. The porous medium has a hydrodynamically anisotropic permeability with obliquely directed permeability tensors relative to the gravitational vector and is saturated with a Newtonian fluid. The horizontal walls are kept adiabatic while the side walls are cooled to the temperature. For low Rayleigh numbers, an analytical solution is found by writing the solutions of the mathematical model in polynomial form of degree n of the Rayleigh number. The updated Galerkin method is used to solve the obtained Poisson equations. The findings are shown as streamlines and isotherms. The permeability anisotropy parameters and the thermal conductivity have a significant impact on the distribution of streamlines and temperature fields. As the Rayleigh number rises, the heat transfer decreases dramatically.

Please see the link :- https://www.journalcjast.com/index.php/CJAST/article/view/31049