Numerical study of radiation model and diffusion effects on combustion in porous media

One-dimensional mathematical model of laminar combustion in porous media is established based on non-thermal balance hypothesis between solid and gas. The additional heat conduction model, the Rossland model and the two-flux method are employed to determine the radiation sources in the governing energy equation for the solid. The effects of thermal radiation and diffusion on the structure of flames in porous media are quantified. It is established that thermal radiation of the porous solid surface is not negligible. the type of thermal radiation model has significant effect on the predicted distribution of flame temperature, and diffusion has relatively small effect upon flame temperature distribution.