%0 Journal Article %A Omara, Abdeslam %A Abboudi, Said %D 2019 %I Begell House %K non-uniform heating, non-Darcy Brinkman–Forchheimer model, numerical approach, local thermal non-equilibrium model %N 1-2 %P 69-80 %R 10.1615/ComputThermalScien.2018024737 %T NUMERICAL THERMAL NON-EQUILIBRIUM APPROACH OF NATURAL CONVECTION IN A SQUARE POROUS CAVITY WITH NON-UNIFORM HEATING ON ONE SIDEWALL %U https://www.dl.begellhouse.com/journals/648192910890cd0e,7344e09e13d9db41,4bccc7dd6c0f4620.html %V 11 %X Numerical results of two-dimensional steady natural convection in a square cavity filled with porous medium by adopting a two-temperature model of heat transfer are presented. The left wall is linearly heated (by increasing or decreasing the wall temperature); the right wall is uniformly cooled while the horizontal top and bottom walls are considered insulated. A developed program (based on the finite-volume method and the semi-implicit method for pressure-linked equations algorithm) was utilized to numerically solve the governing Navier–Stokes equations with the associated boundary conditions. The controlling parameters on the fluid flow and heat transfer for this investigation are the interphase heat transfer coefficient (H), porosity-scaled conductivity ratio (γ), Rayleigh number (Ra), and Darcy number (Da) at Pr = 0.70. %8 2018-09-11