The present research numerically investigates the non-premixed combustion of CH4 in a porous medium. The mathematical model proposed consists of conservation of mass, momentum, energy, and species equations. The discretized equations are integrated according to the third - order Runge - Kutta method. A porous medium is defined as a pseudohomogeneous medium. The proposed unsteady model is successfully validated with the published study. The model is able to describe physical behaviors of a non-premixed flame. The porous structure made of SiC gives higher temperature than when Al2O3 is used since SiC has higher thermal conductivity and lower heat capacity.
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