Abstract
The radiative interaction due to the simultaneous presence of a real (non-gray) gas and isotropically scattering particles is examined rigorously for an isothermal plane layer, allowing completely general, frequency-dependent gas and particle radiative properties. A correction factor is defined to characterize the effects of interaction on the total hemispherical emittance of the layer, and rigorous bounds on the correction factor are determined, using the exact normal mode expansion technique of Case. It is shown that, under certain conditions for high albedo particles, interaction effects may lead to a slight enhancement of the total hemispherical emittance of the gas/particle mixture, compared to the sum of the emittances for the gas and particles considered separately, with the maximum enhancement possible being 3.2%. Under most conditions, however, the presence of the particles would be expected to shield the gas emittance. These rigorous bounds on the extent of the interaction effects are in contrast to the results of a previous numerical study, which predicted strong enhancement effects (nearly 100% enhancement for some cases) due to gas/particle radiative interaction.
Published Version
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