The similarity groups for multicomponent, reacting gas mixtures with radiative
energy transport are derived (Section I). The resulting relations are used to consider
the feasibility if scaling for flow processes with radiative energy transport under
highly simplified conditions (Sections 2 and 3). Next the scaling parameters are
derived for radiant energy emission from isobaric and isothermal gases for
arbitrary opacities and various spectral line and molecular band models (Section 4).
Scaling parameters for radiant energy emission from isobaric but non-isothermal
systems are discussed for arbitrary opacities and various spectral line and molecular
band models under the restrictions imposed on the allowed temperature profiles for
dispersion and Doppler lines by the Eddington-Barbier approximation (Section 5).
Finally, we consider the radiative scaling properties for representative
temperature profiles for both collision-broadened and Doppler-broadened line
profiles on the basis if exact numerical calculations that we have performed for a
rotational spectral line belonging to a molecular vibration-rotation band. (Section
6). It appears that simple scaling rules generally constitute a fair approximation
for dispersion lines in non-isothermal systems but that corresponding relations
apply to lines with Doppler contour only in the transparent gas regime
