Radiative transfer prediction in participating medium bounded with nongray walls using the SLW model

Abstract

This study presents the application of the spectral line-based weighted-sum-of-gray-gases (SLW) model for the radiative transfer calculation in a participating medium bounded by two infinite, parallel and nongray walls. The proposed methodology presents a simplified approach to calculate the radiative transfer in the medium without the determination of the radiation intensity field at each wavenumber. The radiative transfer equation is modeled in a one-dimensional domain in which there is a non-isothermal homogeneous or non-homogeneous gaseous mixture of water vapor and carbon dioxide. The results are compared with the line-by-line (LBL) benchmark solution in order to quantify the magnitude of the error when using the SLW spectral model. The results show that the applied methodology provides satisfactory agreements with respect to LBL solution. In addition, it is shown that considering nongray walls leads to significant more accurate results in computation of the radiative heat transfer than the commonly applied gray wall assumption.