NEUTRON TRANSPORT WITH ANISOTROPIC SCATTERING

Abstract

The general procedure of solving the one-velocity Boltzmann equation in the case of plane geometry is presented. It is assumed that the scattering function can be expanded into the finite series of Legendre polynomials. The complete set of eigenfunctions of the Boltzmann equation is found. The orthogonality and completeness of the eigenfunctions are proved. By way of illustration, solutions of some basic problems of neutron diffusion are given. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1961
Accession Number
AD0257563

Entities

People

  • Janusz R. Mika

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Differential Equations
  • Diffusion
  • Eigenvectors
  • Equations
  • Geometry
  • Mathematics
  • Orthogonality
  • Physical Properties
  • Plane Geometry
  • Polynomials
  • Scattering
  • Sizes (Dimensions)
  • Transport Ships

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis