The effect of anisotropic scattering on the radiant heat flux through an aerosol

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Abstract
The scattering of radiation by aerosol particles can lead to significant anisotropy and this influences the radiation heat transfer through the material. A model scattering function involving backward, isotropic and forward scattering has been developed which enables the equation of radiative transfer to be reduced to an equivalent isotropic form with suitably scaled coefficients. An integral equation is formed for the temperature of the medium and, by means of a variational functional, accurate values are obtained for the heat flux across a parallel plane aerosol of finite thickness as a function of the emissivities of the surfaces and the scattering properties of the medium. General conclusions indicate that in the range of back-scattering -1s/K is of order unity. It is also concluded that the 'transport approximation', in which the unit of length is multiplied by the factor (1- omega cos theta ), leads to an acceptable description of anisotropic scattering over the complete range of cos theta .

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