Modeling of filtration combustion of gases in a cylindrical porous burner with allowance for radiative heat transfer

The problem of stabilization of the wave of filtration combustion of a premixed mixture of gases in a porous cylindrical burner is solved numerically. Two formulations of the problem are considered. In the first case, a one-dimensional steady problem of gas combustion in a porous cylindrical burner with allowance for radiative heat transfer inside the porous skeleton and emission of radiation from the burner surface is solved. In the second case, the problem is solved within the framework of the conventional one-dimensional steady diffusion-thermal model of filtration combustion of gases with allowance for radiative heat losses only from the external surface of the burner. The results obtained by two models are compared. It is shown that radiative heat transfer exerts a significant effect on the process of filtration combustion in a porous body, in particular, on the temperature distributions in the gas and the solid, as well as on the radius of stabilization of the combustion front. Heat losses in the form of emission into the ambient medium are found to be caused to a large extent by emission from internal layers of the porous body owing to radiative heat transfer, not only by emission from the external surface of the burner.