
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 onespeed, 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 onehalf 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