The Asymptotic Development of The Equations of Nuclear Reactor Theory

The solutions to various forms of the diffusion equation are shown to correspond to the leading term of an asymptotic expansion of the solution to the neutron transport equation for large near-homogeneous systems which are close to critical. The product of the fundamental unit-cell transport theory eigenfunction and the fundamental cell-homogenized diffusion theory eigenfunction is shown to correspond to the leading asymptotic solution to the transport equation for large near-critical heterogeneous systems comprised of periodic or near-periodic lattices. The generalized point kinetics equations and a consistent theory of lattice homogenization are simultaneously developed for the same kinds of systems. Finally, an asymptotic approximation to the energy-dependent (omega)-mode transport equation is developed for large near-homogeneous systems which need not be close to critical.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Nuclear Engineering

Grantor

University of Illinois at Urbana-Champaign

Date dc:date

10000-01-01

Author dc:creator

• Chiang, Ren-Tai

• Engineering, Nuclear
• Energy

Language dc:language

eng

Identifier

(UMI)AAI8108463

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/67793