A CRITICAL EVALUATION OF THE MARKOV MATRIX TREATMENT OF NEUTRON DIFFUSION IN SLABS.
Abstract
It is known that a method based on the concept of a Markov chain can be used to treat the problem of absorption, transmission, and backscatter when single-velocity neutrons are incident on a plane slab of finite thickness, under the assumption that scattering is isotropic in the laboratory system (see AD-640 260). Such conditions can exist when neutrons impinge on a slab of material, such as a shield or an inside wall of a shelter entranceway. Since the Markov matrix method is a new approach to the problem, the practical limits in applying the method have not previously been explored. This report outlines the region of usefulness of the matrix method. The solutions to some sample problems are given. Comparisons are made with other theoretical treatments. It is concluded that the Markov matrix method is useful over a wide region of interest. Within its limits of practical applicability, the method gives highly exact answers without requiring exorbitant computing time. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1967
- Accession Number
- AD0653444
Entities
People
- C. M. Huddleston
- M. L. Eaton
Organizations
- Naval Facilities Engineering Service Center