Nonisothermal band model theory
Abstract
Theoretical formulations of radiation band models for general nonuniform optical paths are presented. The models are framed within the statistical band model for an array of Lorentz lines and an inverse line strength distribution. Radiative transfer for an isolated line in a general nonuniform medium and the statistical model for a uniform optical path are reviewed in order to provide the foundation required for the band model formulations. Two approaches to the development of these models are taken. The first is based on making approximations to such radiative transfer functions as transmittance or equivalent width and yields models equivalent or similar to the traditional CurtisGodson approximation. The second treats approximations to the spatial derivatives of these functions. From the standpoint of computing line or band radiance, the spatial derivatives are more fundamental quantities than the transfer functions themselves; consequently, these latter 'derivative approximations' are intrinsically more accurate than the CurtisGodson type approximations. A summary of all of the models is given as a table of relevant equations for use in practical calculations.
 Publication:

Interim Report Aerospace Corp
 Pub Date:
 September 1976
 Bibcode:
 1976aerc.rept.....Y
 Keywords:

 Infrared Radiation;
 Radiance;
 Radiative Heat Transfer;
 Spectral Bands;
 Transmittance;
 Line Spectra;
 Mathematical Models;
 Thermal Radiation;
 Fluid Mechanics and Heat Transfer