Application of statistical narrowband model to three-dimensional absorbing-emitting-scattering media

A novel method for implementing the statistical narrowband model into the r adiative transfer equation was devised to perform nongrey radiative transfe r calculations in three dimensional absorbing, emitting, and scattering med ia. In this new method the radiation intensity is split into two parts: the nonscattered part and the scattered part. The nonscattered part is solved accurately using the statistical narrowband model and a ray-tracing techniq ue and does not require iteration. The scattered part is solved with approx imation by using the gray-band model to estimate the band correlation betwe en the scattered intensity and the gas absorption coefficient. The accuracy of this method for narrowband radiation intensity prediction was evaluated in a homogeneous H2O-N-2-Al2O3 mixture under both isothermal and nonisothe rmal conditions by comparing its results with those of the statistical narr owband correlated-g method. This new implementation method alleviates to so me extent the difficulty of the band model scattering incompatibility and o ffers good results provided the particle loading is not too high.