Exact formulation of anisotropic scattering in an arbitrary enclosure

Computer Science

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Anisotropic Media, Radiative Heat Transfer, Scattering Functions, Diffuse Radiation, Enclosures, Radiant Flux Density, Specular Reflection

Scientific paper

Particle scattering of radiation may lead to significant anisotropy and influence the radiation distribution within the material. A good understanding of the phenomena of radiative heat transport within such anisotropically scattering media requires an exact formulation. In the present paper, an exact integral formulation of radiation transfer is presented for an anistropically scattering medium of arbitrary geometry enclosed by surfaces having both diffuse and specular reflectivity components. Reductions of these multidimensional equations to one dimension, including enclosure made of a nonparticipating medium, are shown. These exact formulations may be used to obtain exact numerical solutions for any scattering phase function.

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