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STEADY STATE TRANSPORT WITH ISOENERGETIC AND NEUTRINO-ELECTRON SCATTERING

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Date Issued:
1980
Summary:
Steady state solutions to the Boltzmann transport equation were obtained for the transport of neutrinos across a finite, plane parallel slab using discrete ordinate methods. Semi-analytic solutions were obtained in the case of isoenergetic, isotropic scattering for one energy group and in the restricted case of isoenergetic and nonisoenergetic (Compton), isotropic scattering between two energy groups where the isoenergetic and the Compton scattering rates are the same for the two groups. For these two cases solutions were obtained for total optical thicknesses of 0.2, 2, and 20. When the Compton scattering rates of the two energy groups are allowed to be different, the transport equation becomes nonlinear due to the exclusion principle. For this case a numerical scheme was developed which yielded solutions for slabs having optical thicknesses up to unity.
Title: STEADY STATE TRANSPORT WITH ISOENERGETIC AND NEUTRINO-ELECTRON SCATTERING.
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Name(s): BALLESTER, JORGE LUIS.
Florida Atlantic University, Degree grantor
Bruenn, Stephen W., Thesis advisor
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Issuance: monographic
Date Issued: 1980
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 93 p.
Language(s): English
Summary: Steady state solutions to the Boltzmann transport equation were obtained for the transport of neutrinos across a finite, plane parallel slab using discrete ordinate methods. Semi-analytic solutions were obtained in the case of isoenergetic, isotropic scattering for one energy group and in the restricted case of isoenergetic and nonisoenergetic (Compton), isotropic scattering between two energy groups where the isoenergetic and the Compton scattering rates are the same for the two groups. For these two cases solutions were obtained for total optical thicknesses of 0.2, 2, and 20. When the Compton scattering rates of the two energy groups are allowed to be different, the transport equation becomes nonlinear due to the exclusion principle. For this case a numerical scheme was developed which yielded solutions for slabs having optical thicknesses up to unity.
Identifier: 14014 (digitool), FADT14014 (IID), fau:12674 (fedora)
Collection: FAU Electronic Theses and Dissertations Collection
Note(s): Thesis (M.S.)--Florida Atlantic University, 1980.
Charles E. Schmidt College of Science
Subject(s): Electron transport
Neutron transport theory
Held by: Florida Atlantic University Libraries
Persistent Link to This Record: http://purl.flvc.org/fcla/dt/14014
Sublocation: Digital Library
Use and Reproduction: Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Use and Reproduction: http://rightsstatements.org/vocab/InC/1.0/
Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.