Neutron Transport for a Slab with a Degenerate Scattering Kernel
- 1 January 1973
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 50 (1) , 10-19
- https://doi.org/10.13182/nse73-a22583
Abstract
Solutions for collision densities in a slab with an energy- and angle-dependent degenerate scattering kernel are developed. The slab distribution is expanded in a set of regular and singular eigenfunctions and the expansion coefficients are obtained as solutions of a matrix integral equation. From invariance principles, this integral equation depends upon the half-space generalized Milne solution. To obtain this solution one must solve a nonlinear matrix equation for a generalization of the Chandrasekhar H-function. Approximate solutions and numerical calculations for the heavy-gas scatterer are presented, including emergent distributions for the slab.Keywords
This publication has 0 references indexed in Scilit: