Neutron Transport From a Point Source in a Slab; A Comparison Between Diffusion Theory and Transport Theory.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1970
- Accession Number
- AD0715563
Entities
People
- John Henry Shimerda
Organizations
- Naval Postgraduate School