DIFFERENTIAL TOTAL ABSORPTIVITY SOLUTION TO THE RADIATIVE-TRANSFER EQUATION FOR MIXTURES OF COMBUSTION GASES AND SOOT

The differential total absorptivity (DTA) solution to the radiative tr ansfer equation, originally devised for combustion gases in the discre te transfer radiation model, is extended to mixtures of gaseous combus tion products and soot. The method is compared to other solution techn iques for representative mixtures across single lines of sight and acr oss a layer bounded by solid walls. intermediate soot loadings are con sidered such that the total radiance is not dominated by either the ga seous or soot components. The DTA solution is shown to yield excellent accuracy relative to a narrow-band solution, with a considerable savi ng in computational cost. Thus, explicit treatment of the source tempe rature dependence of absorption is successfully demonstrated without t he need for spectral integration.