The Asymptotic Development of The Equations of Nuclear Reactor Theory
Chiang, Ren-Tai
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https://hdl.handle.net/2142/67793
Description
Title
The Asymptotic Development of The Equations of Nuclear Reactor Theory
Author(s)
Chiang, Ren-Tai
Issue Date
1980
Department of Study
Nuclear Engineering
Discipline
Nuclear Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Nuclear
Energy
Language
eng
Abstract
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.
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