Effects of either CO₂ or H₂O and particles on radiation in a one-dimensional cylinder

This study considers nongray, absorbing, emitting, anisotropically scattering, one-dimensional, radiative transfer in cylindrical media. The radiation transfer is due to a gas composed of either CO₂ or H₂O, soot and particles. The temperature of these constituents is equal and uniform throughout the medium. The nongray effects are due to the spectrally discontinuous absorption/emission behavior of the gas and the spectrally continuous absorption/emission behavior of the gas and the spectrally continuous absorption/emission behavior of the soot. The absorption coefficient of the nongray gas is modelled according to Edwards’ exponential wide-band models. The absorption coefficient of the soot is inversely proportional to wavelength. The scattering phase function of the gray particles is represented as the sum of an isotropic component and a delta-function. An accurate solution to this problem is obtained by using the P₁-approximation, coupled with the integral form of the equation of transfer. The band widths are determined by utilizing the wide-band models, and the spectral integration is performed over all wavelengths according to a two-point quadrature for each band. Comprehensive parameter surveys are performed in order to establish a detailed understanding of the complex interaction between radiatively participating particles and molecular gases.