Radiative transfer in an inhomogeneous sphere

Physics – Optics

Scientific paper

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Atmospheric Optics, Inhomogeneity, Radiative Transfer, Albedo, Heat Flux, Isotropic Media, Radiant Flux Density, Radiative Heat Transfer, Spheres

Scientific paper

The problem of radiation transfer in a diffusely-reflecting sphere containing an energy source and source-free radiation transfer is connected with isotropic boundary conditions. An equation for the radiation heat flux is obtained for a polynomial source. In the special case of a uniform source, the radiation heat flux and the angular flux are obtained in terms of the albedo of the second problem. Numerical results are presented for inhomogeneous and homogeneous spheres, and the results for the homogeneous sphere are compared with those of Mordant (1973).

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