Pade approximant calculations for dispersive, isotropic scattering, homogeneous media

Astronomy and Astrophysics – Astrophysics

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Isotropic Media, Pade Approximation, Radiant Flux Density, Radiative Heat Transfer, Boundary Conditions, Boundary Value Problems, Integral Equations

Scientific paper

Exact relations for radiation heat flux at the boundaries of a slab with diffusely reflecting boundary conditions and internal source are obtained in terms of the reflection and transmission coefficients of a source free slab with isotropic boundary conditions. The integral equation defining the radiation heat flux contains explicitly the internal source. So, the particular solution for radiative transfer equation is not required. Available exact values for albedos give exact values of radiation heat flux. Padé approximant technique is used to obtain numerical values for homogeneous media.

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