A Comparative Study of Modeling of Radiative Heat Transfer using MOL Solution of DOM with Gray Gas, Wide-Band Correlated-k, and Spectral Line-Based Weighted Sum of Gray Gases Models

Abstract

A radiation code based on the method of lines (MOL) solution of the discrete ordinates method (DOM) for the prediction of radiative heat transfer in nongray absorbing-emitting media was developed by incorporation of two different gas spectral radiative property models, wide-band correlated-k (WBCK) and spectral line-based weighted sum of gray gases (SLW) models. Predictive accuracy and computational efficiency of the code were assessed by applying it to one- and two-dimensional test problems and benchmarking its steady-state predictions against line-by-line (LBL) solutions and measurements available in the literature. In order to show the improvements accomplished by these two spectral models over and above the ones obtained by gray gas approximation, predictions obtained by spectral models were also compared with those of the gray gas (GG) model. Comparisons reveal that the MOL solution of the DOM with the SLW model produces the most accurate results for radiative heat fluxes and source terms, at the expense of computation time.