APPLICATIONS OF INVARIANT IMBEDDING TO PROBLEMS OF NEUTRON TRANSPORT IN A SLAB

Thesis/Dissertation · Mon Jan 01 04:00:00 EST 1962

OSTI ID:4750749

Ingram, G R

The problem of neutron transport in an infinite slab of finite width is treated from an invariant imbedding approach. A probabilistic treatment based on a collisioncounting method is utilized to develop equations for the expected number of reflected and transmitted neutrons resulting from a single source neutron impinging upon the slab. An anisotropic and nonhomogeneous slab is considered, with certain results obtained for more restrictive assumptions. It is shown that the equations for the X- and Y- functions of Chandrasekhar can be obtained by this method, as well as the equation for the H function in the limiting semi-infinite case. Equations for the expected number of neutrons involved in a jth collision are derived. Through the use of a variable interior source, a computational scheme for the expected number of neutrons reflected and transmitted after a history of n collisions is established. The feasibility of numerical methods is discussed, and results of actual computations carried out on an IBM 709 are reported, with sample graphs included. (Dissertation Abst., Vol 23, No. 7)

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-17-017103
• OSTI ID: 4750749
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ABSORPTION
ANISOTROPY
COMPUTERS
DIFFERENTIAL EQUATIONS
IBM 709
NEUTRON SOURCES
NEUTRONS
NUMERICALS
PHYSICS
PLATES
PROBABILITY
PROGRAMMING
REFLECTION
STATISTICS
TRANSPORT THEORY