Stochastic radiative transfer in a finite plane with anisotropic scattering in a binary Markovian mixture |
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Authors: | M M Selim M S Abdel Krim M T Attia S A El Wakil |
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Institution: |
a Physics Department, Faculty of Science in Damietta, Mansoura University, Damietta, Egypt
b Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt |
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Abstract: | The time-independent linear transport problem in a stochastic finite-plane medium with linear anisotropic scattering is considered. The medium is assumed to consist of two randomly mixed immiscible fluids, with the mixing statistics described as a two-state homogeneous Markov process. The Pomraning-Eddington approach is used to obtain an explicit solution to the problem in the deterministic case. A formalism, developed to treat radiative transfer in statistical mixtures, is used to obtain the ensemble-averaged solution for the problem under consideration. In the case of isotropic scattering, explicit analytic results for reflectivity and transmissivity, which show a good agreement with Monte Carlo benchmark results, are given. Results for reflectivity and transmissivity in the case of linear anisotropic scattering are also given. |
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Keywords: | |
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