SOLUTION OF THE STEADY-STATE DIFFUSION EQUATION USING GREEN'S FUNCTION,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1967
- Accession Number
- AD0665378
Entities
People
- G. Lansing Blackshaw
- Norman E. Banks
Organizations
- Ballistic Research Laboratory