Accession Number : AD0665378

Title :   SOLUTION OF THE STEADY-STATE 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 one-velocity, one-dimensional, steady-state 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 one-half 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