Modeling of gaseous radiant exchange with the smooth (reordered) band model

The smooth band model (also called the reordered band model) shows promise of providing the foundation for a radiant analysis method for enclosures containing participating gases. Existing models for the smooth absorption coefficient distribution, however, are not totally satisfactory. This paper presents a new model for the smooth absorption coefficient that addresses the problems with the current models. The new model is exercised on some benchmark calculations of total gas emissivity to test its accuracy. Also, a demonstration problem involving a spherical enclosure with reflective walls is solved to illustrate the utility of the smooth band model, as well as the ease of calculation.