A Fourier transform solution for radiative transfer in a slab with isotropic scattering and boundary reflection

Physics

Scientific paper

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Fourier Transformation, Radiative Heat Transfer, Slabs, Isotropism, Reflectance, Transmissivity

Scientific paper

The Fourier transform method is used to formulate an exact solution for radiative heat transfer in an isotropically scattering, absorbing and emitting plane-parallel slab with specularly reflecting boundaries. The analysis leads to a solution involving expansion coefficients which can be determined from a matrix equation to the desired degree of accuracy. The numerical results obtained for the hemispherical reflectivity and transmissivity show that even the lowest order solution gives good accuracy.

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