Accession Number : AD0715563

Title :   Neutron Transport From a Point Source in a Slab; A Comparison Between Diffusion Theory and Transport Theory.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Shimerda,John Henry

Report Date : SEP 1970

Pagination or Media Count : 53

Abstract : The one-speed, steady state, diffusion equation was solved for a point source and for a normal pencil beam in a homogeneous, isotropically scattering slab. Numerical results obtained using diffusion theory were compared to available transport theory results for two slab thickness. This comparison demonstrated that the diffusion theory approximation to the transport equation will yield accurate results except within about one-half mean free path of a boundary and except within about three mean free paths of a source. The best agreement between diffusion theory and transport theory is obtained if the first radial buckling constant in the diffusion solution is chosen equal to the radial buckling computed using transport theory. (Author)

Descriptors :   (*NEUTRON TRANSPORT THEORY, DISTRIBUTION FUNCTIONS), (*NEUTRON BEAMS, *SHIELDING), NUMERICAL ANALYSIS, GREEN'S FUNCTION, RADIATION HAZARDS, BESSEL FUNCTIONS, INTEGRAL EQUATIONS, MATRICES(MATHEMATICS), COMPUTER PROGRAMS, THESES

Subject Categories : Nuclear Radiation Shield, Protection & Safety
      Fission Reactor Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE