A steady state solution for the one-dimensional energy dependent neutron transport equation in an infinite medium

Persistent Link:
http://hdl.handle.net/10150/276711
Title:
A steady state solution for the one-dimensional energy dependent neutron transport equation in an infinite medium
Author:
Baker, Randal Scott, 1960-
Issue Date:
1988
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
The one-dimensional energy dependent linear neutron transport equation has been solved for the case of constant cross sections in an infinite absorbing medium with the approximation of isotropic scattering in the laboratory frame of reference. The method of solution was to apply a Fourier transform with respect to space and a Laplace transform with respect to lethargy. The Laplace inversion is performed analytically, while the Fourier inversion is accomplished by a highly accurate algorithm employing a Hurwitz-Zweifel expansion in combination with an Euler-Knopp transformation and a Romberg quadrature routine. This method results in solutions accurate to four places which are suitable for benchmarks.
Type:
text; Thesis-Reproduction (electronic)
Keywords:
Neutron transport theory.
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Graduate College; Nuclear and Energy Engineering
Degree Grantor:
University of Arizona
Advisor:
Ganapol, B. D.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleA steady state solution for the one-dimensional energy dependent neutron transport equation in an infinite mediumen_US
dc.creatorBaker, Randal Scott, 1960-en_US
dc.contributor.authorBaker, Randal Scott, 1960-en_US
dc.date.issued1988en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractThe one-dimensional energy dependent linear neutron transport equation has been solved for the case of constant cross sections in an infinite absorbing medium with the approximation of isotropic scattering in the laboratory frame of reference. The method of solution was to apply a Fourier transform with respect to space and a Laplace transform with respect to lethargy. The Laplace inversion is performed analytically, while the Fourier inversion is accomplished by a highly accurate algorithm employing a Hurwitz-Zweifel expansion in combination with an Euler-Knopp transformation and a Romberg quadrature routine. This method results in solutions accurate to four places which are suitable for benchmarks.en_US
dc.typetexten_US
dc.typeThesis-Reproduction (electronic)en_US
dc.subjectNeutron transport theory.en_US
thesis.degree.nameM.S.en_US
thesis.degree.levelmastersen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineNuclear and Energy Engineeringen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorGanapol, B. D.en_US
dc.identifier.proquest1333577en_US
dc.identifier.oclc20444321en_US
dc.identifier.bibrecord.b17007094en_US
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