Article ID Journal Published Year Pages File Type
5431028 Journal of Quantitative Spectroscopy and Radiative Transfer 2006 15 Pages PDF
Abstract

The Milne problem is investigated subject to reflecting boundary conditions. The original version of the problem with vacuum boundary condition is generalized assigning, to the surface x=0, a specular reflection coefficient ρs(0⩽ρs⩽1). Linearly anisotropic case is studied. The integral version of the transport equation solved using trial functions based on Case's eigenvalues and exponential integral function. Solution of the Milne problem is formulated in terms of characteristic parameters such as extrapolated end point, emergent angular distribution and total neutron density. Numerical results for the analytically evaluated parameters are then present. Some of our numerical results are compared with the available published results.

Related Topics
Physical Sciences and Engineering Chemistry Spectroscopy
Authors
, , ,