
Accession Number : AD0665378
Title : SOLUTION OF THE STEADYSTATE DIFFUSION EQUATION USING GREEN'S FUNCTION,
Corporate Author : BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD
Personal Author(s) : Banks,Norman E. ; Blackshaw,G. Lansing
Report Date : OCT 1967
Pagination or Media Count : 29
Abstract : The onevelocity, onedimensional, steadystate diffusion equation for a bare, spherical, neutron multiplying system containing a finite number of thin heterogeneities is formulated using a Heaviside representation for the spatial location of the heterogeneities. This Heaviside formulation is subsequently transformed to a Dirac delta function representation and Green's function techniques are applied to determine flux solutions and critical conditions for the general case of multiple heterogeneities and the special case of a single heterogeneity located at onehalf the radius of the spherical assembly. Correlations between the materials and geometric bucklings of subcritical, critical, and supercritical systems are graphically presented and discussed. (Author)
Descriptors : (*NEUTRON TRANSPORT THEORY, GREEN'S FUNCTION), DIFFUSION, SPECIAL FUNCTIONS(MATHEMATICAL), CRITICAL ASSEMBLIES, BUCKLING(NEUTRON DENSITY), NEUTRON FLUX
Subject Categories : Fission Reactor Physics
Distribution Statement : APPROVED FOR PUBLIC RELEASE