Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.158...95e&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 158, no. 1, Aug. 1989, p. 95-105.
Astronomy and Astrophysics
Astrophysics
Boltzmann Transport Equation, Boundary Conditions, Boundary Value Problems, Radiative Transfer, Transport Properties, Anisotropic Media, Galerkin Method, Heat Flux, Slabs
Scientific paper
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 ratios A, 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.
Abdel Krim M. S.
Attia M. T.
El Ghazaly A. A.
El Wakil S. A.
Saad E. A.
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