Radiation transfer in a diffuse and specular reflecting slab with Rayleigh scattering |
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| Authors: | M. S. Abdel Krim E. M. Abulwafa S. M. Shouman |
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| Affiliation: | (1) Physics Department, Faculty of Science, Mansoura University, Damietta, Egypt;(2) Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt;(3) Physics Department, College of Women, Ein Shams University, Cairo, Egypt |
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| Abstract: | A method of analysis is presented for solving the radiative transfer problem in an absorbing, emitting, inhomogeneous, and anisotropically scattering plane-parallel medium with specular and diffuse reflecting boundaries and internal source (problem 1). Exact relations for the radiation heat flux at the boundaries of problem 1 are obtained in terms of the radiation density and albedos of the corresponding source-free medium with specular reflecting boundaries (problem 2). Two coupled integral equations for the radiation density and the second moment of the radiation intensity for problem 2 with Rayleigh phase functions are obtained. The Galerkin method is used to solve these equations. Albedos of problem 2 are compared with theFn method. Numerical results for radiation heat fluxes at the boundaries of problem 1 are tabulated for different forms of the internal source. |
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