BEM for natural convection in non-Newtonian fluid saturated porous cavity

The main purpose of this work is to present the use of the Boundary Element Method (BEM) in the analysis of the flow transport phenomena of non-Newtonian fluids in porous medium domain. To solve the stated problem the Boundary Domain Integral Method (BDIM) for the numerical solution of unsteady incompressible Newtonian fluid flow in porous medium is extended in order to analyse the effects of the available non-Newtonian viscosity. The governing equations are transformed by the velocity-vorticity variables formulation, therefore the computation scheme is partitioned into kinematic and kinetic part. To evaluate the presented approach the Carreau model which is adequate for many non-Newtonian fluids is considered, representing the fluid that saturate the vertical porous cavity heated from the side. Numerical results representing the flow and heat transfer characteristics of the fluid within the porous cavity will be presented.