Numerical approximation of convective Brinkman-Forchheimer flow with variable permeability

This paper investigates the nonlinear dispersion of a pollutant in non-isothermal incompressible flow temperature-dependent viscosity fluid rectangular channel filled with porous materials. The Brinkman-Forch-heimer effects are incorporated and is assumed to be variably permeable through channel. External injection, heat sources radiative flux Rossland approximation accounted for. system partial differential equations governing velocity, temperature concentration presented non-dimensional form. A convergent numerical algorithm formulated using an upwind scheme for convective part conservative-type central diffusion parts. convergence discussed verified by experiments both presence absence suction. then used investigate transport results show that velocity decreases increasing suction Forchheimer parameters, but it increases porosity.