Neutron Transport in a Spherical Subcritical Assembly with an External Neutron Source.

Abstract

Neutron transport theory was used to predict resulting neutron distributions from an external neutron source in a spherical subcritical fissile assembly. A plane wave-delta function neutron source in time was assumed incident on the sphere containing fissionable material. Two methods of three-group calculations in r, theta spherical geometry were used. A time-space integrated diffusion equation was solved for fluence (nvt) as a function of energy and position. Secondly, the Boltzmann equation was solved by the discrete ordinates S sub n method. Computer codes for both methods were written in Fortran IV for the IBM 7094 computer. In a sphere 14 cm in diameter, composed of U-235 and aluminum, fission buildup from a fission spectrum source resulted in a total increase in neutron population of three times the source strength. A comparison of the results of the two methods is presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0857979

Entities

People

  • Frederick C. Damm

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Assembly
  • Boltzmann Equation
  • Computers
  • Delta Functions
  • Diameters
  • Equations
  • Fission
  • Fissionable Materials
  • Geometry
  • Materials
  • Neutron Transport Theory
  • Plane Waves
  • Subcritical Assemblies
  • Transport Ships

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Nuclear and Radiation Engineering.

Technology Areas

  • Space