Transport Solutions to the One-Dimensional Critical Problem
Open Access
- 1 September 1963
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 17 (1) , 55-64
- https://doi.org/10.13182/nse63-a17210
Abstract
The new method of Case for treating the one-velocity transport equation is applied to a uniform, one-dimensional multiplying medium. The method leads to exact expressions for the neutron distribution and criticality conditions. These expressions depend on expansion coefficients which are shown to satisfy a Fredholm integral equation. The results of diffusion theory with the exact Milne problem extrapolation distance are shown to correspond to the zeroth-order approximation of the Neumann series solution to the Fredholm equation.Keywords
This publication has 2 references indexed in Scilit:
- Exact Solution of a Critical Problem for a SlabJournal of Mathematical Physics, 1961
- Elementary solutions of the transport equation and their applicationsAnnals of Physics, 1960