Accession Number : ADA297562

Title :   Neutron Flux Distributions in Multiple Region Reactors,

Corporate Author : WESTINGHOUSE ATOMIC POWER DIV PITTSBURGH PA

Personal Author(s) : Wallach, Sylvan

PDF Url : ADA297562

Report Date : DEC 1951

Pagination or Media Count : 64

Abstract : In this report the problem is considered of determining neutron flux distributions in reactors consisting of discrete regions of substantially different nuclear properties. Starting with these equations the problem is considered of determining the flux in one of the energy groups given the spatial flux distribution of the next higher energy group. The problem is handled by converting the differential equation with source term to an integral equation; under appropriate conditions the integral equation may be solved by a numerical iterative procedure. The conditions under which this may be done are discussed and formulas are developed for placing bounds on the errors. In addition the technique of obtaining flux distributions in complicated configurations by additive and multiplicative superposition of flux distributions of simpler configurations is considered. Expressions are derived for estimating the errors made in using these methods. A number of simple examples are presented.

Descriptors :   *NEUTRON FLUX, SPATIAL DISTRIBUTION, REGIONS, CONFIGURATIONS, DIFFERENTIAL EQUATIONS, ADDITIVES, NUMERICAL METHODS AND PROCEDURES, INTEGRAL EQUATIONS, ITERATIONS, DISTRIBUTION FUNCTIONS, NUCLEAR PROPERTIES.

Subject Categories : Fission Reactor Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE