Laminar, Mixed-Convection, Boundary-Layer, Nongray-Radiative, Diffusion Flames

Abstract

The two-dimensional, laminar, mixed-mode convection (free and forced), boundary-layer, radiative, diffusion flame has been analytically investigated with special attention directed toward the nongray nature of the combustion products. The solution procedures include Shvab-Zeldovich approximation and von Mises transformation for the physical transport equations and the finite difference method for the computation of the transformed equations. The local radiative fluxes for nongray, gray and radiatively-ideal gases are prescribed in detail. Twelve parameters that govern the flame characteristics have been identified. Setting appropriate parameters to zero yields several limiting solutions which are compared with the reported results. In addition to extensive results of distributions in the field variables and fluxes, the ratio of the radiation loss to the combustion energy evolved was computed and a radiatively-ideal gas having behaviors similar to the nongray gases was identified.