The problem of radiative heat transfer in a nonisothermal medium is considered. The analysis is carried out for a plane parallel atmosphere separated by a cloud of particles which scatters radiant energy in an anisotropic fashion. Linear and isothermal temperature profiles are compared for enclosures with partially reflecting diffuse boundaries. The solutions are obtained by representing the integral term of the radiative transport equation by a quadrature. The resulting set of nonhomogeneous differential equations are solved utilizing the method of idempotents.

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