Energy-dependent transport problem with generalized boundary conditions |
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| Authors: | S A El Wakii M S Abdel Krim M T Attia A A El Ghazaly E A Saad |
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| Institution: | (1) Faculty of Science, Mansoura Univ., Mansoura, Egypt;(2) Faculty of Science, Mansoura Univ., Damietta, Egypt;(3) Nuclear Research Centre, Atomic Energy Authority, Anshass, Egypt |
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| Abstract: | The slowing-down Boltzmann equation for generalized boundary conditions is considered and transformed to one-speed equation in Laplace space. Exact relations between energy reflection and transmission coefficients for a problem with diffuse reflecting boundary conditions and the albedos for the problem with isotropic boundary conditions are obtained. The Galerkin method is used to calculate the energy reflection coefficient for a finite slab for different thicknesses at different mass ratiosA, target to projectile mass, at different synthetic-scattering kernels. The results for partial heat fluxes for isotropic and anisotropic-scattering dispersive medium are given. The results obtained for isotropic boundary conditions are compared well with the exact results. |
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