Wideband correlated-k method applied to absorbing, emitting, and scattering media

The correlated-k distribution method for widebands is developed and applied to participating media. The wideband k-distribution functions and the cumulative distribution functions provided by the Malkmus and the Goody narrow-band models, using the Edwards wideband model for line intensity and pressure-broadening parameters are compared. This work shows that the Malkmus and Goody models provide wideband absorptivities that are within 12 percent over the entire range of governing parameters. Limiting and approximate forms for the cumulative distribution function for the Malkmus formulation are presented. The correlated-k method is applied to problems involving absorbing, emitting, and scattering media, and the results using the gas models are compared. The wideband absorption for emission values obtained for the participating medium are within the same range of 12 percent. It is concluded that thermal transport applications can use the analytical forms provided by the Malkmus model combined with the parameters developed by Edwards for the wideband model. (Author)