A Fourier transform solution of radiation transfer in a spherical inhomogeneous medium

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Fourier Transformation, Heat Flux, Isotropic Media, Radiative Transfer, Boundary Conditions, Integral Equations, Spheres

Scientific paper

Isotropic scattering in an inhomogeneous medium is described theoretically based on a solution of the radiative transfer equation by means of integral Fourier transforms. Partial heat flux and emissivity for isotropic scattering in the medium with an internal source are calculated. The radiative heat flux is assessed based on the albedo of the corresponding source-free problem with isotropic boundary conditions. The albedo of the source-free scenario is developed with the integral Fourier transforms in terms of the internal source, and comparisons with the results by Mordant (1973) show good agreement. The present theoretical analysis is of interest to many practical scenarios in which spherically symmetrical radiative heat transfer can be used as a model system.

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