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Virginia Polytechnic Institute and State University

The F [subscript N] method for a bare critical cylinder

Abstract

dc:description.abstract

The F<sub>N</sub> method, originated by C. E. Siewert, is developed for a bare, axially infinite critical cylinder. The full-range completeness and orthogonality properties of the singular eigenfunctions are used to derive an expression for the emerging angular flux, which is represented by a power series. The resulting equations are reduced to matrix form and computer solved. Examples of the results of this method for different parameters are presented. Comparisons with other models are made. A fourth order approximation was found to be sufficient to achieve up to four digit agreement with benchmark values.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Nuclear Science and Engineering
Department dc:contributor.department
Nuclear Science and Engineering
Grantor dc:publisher
Virginia Polytechnic Institute and State University
Year dc:date.issued
1982

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Southers, Jack Daniel

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en_US

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/10919/80216
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/80216

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Southers, Jack Daniel. The F [subscript N] method for a bare critical cylinder. masters thesis, Virginia Polytechnic Institute and State University, 1982. http://hdl.handle.net/10919/80216