Assessment of a differential total absorptivity solution to the radiative transfer equation as applied in the discrete transfer radiation model

A differential total absorptivity (DTA) solution to the radiative transfer equation is assessed for application in the discrete transfer radiation model (DTRM). The new solution technique treats the source temperature dependence of adsorption explicitly, without the need for spectral integration. Predictions are presented for the radiative intensity across single lines of sight, and for the volumetric source variations in a full DTRM calculation between solid walls. DTA exhibits superior performance relative to a differential total transmissivity solution and the weighted sum of gray gases solution. Additionally, gray gas solutions and a homogeneous isothermal path solution are shown to be unsatisfactory.