Application of an Optimized SLW Model to Calculation of Non-Gray Radiation Heat Transfer in a Furnace

Abstract

The spectral line based weighted sum of gray gases (SLW) model is considered as an advanced model, which can solve the radiative transfer equation (RTE) in non-gray participating media by dividing the absorption cross section spectrum into a limited number of intervals. Each interval is then treated as a gray gas medium, in which the attributed RTE should be solved separately. Therefore, the SLW model would be computationally more efficient than the other non-gray participating media solvers because it is faced with a small number of RTE solutions. In this work, we present a novel optimized SLW model and applied it to radiation heat transfer calculation in a model furnace. The current optimized SLW model with only 3 gray gases can provide accuracy close to the line-by-line (LBL) method. This is while the classic nonoptimized SLW model cannot provide the same level of accuracy imposing only 3 gray gases. Therefore, we strongly recommend the optimized SLW model to calculate the radiation heat transfer in non-gray combustion gas mixtures.