A single-fluid, self-consistent formulation of particle transport and fluid dynamics.

Persistent Link:
http://hdl.handle.net/10150/186262
Title:
A single-fluid, self-consistent formulation of particle transport and fluid dynamics.
Author:
Williams, Lance Lee.
Issue Date:
1993
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:
I present a formulation of fluid dynamics that is consistent with particle transport and acceleration. This formulation consists of two parts: a transport equation that describes the evolution of a particle distribution function in terms of a fluid velocity in which the distribution is embedded, and an equation for the fluid velocity that involves integrals of the distribution function. The motivation of this work is to provide a formalism for calculating the effect of particle acceleration on the flows of typical astrophysical plasmas. It is shown that the equation to be solved simultaneously with the transport equation is just the momentum equation for the system, and that the number and energy equations are implicit in the transport equation. There is no restriction on the energies of particles constituting such systems. Connections are made to the cosmic-ray transport equation, two-fluid models of cosmic-ray - thermal gas interaction, and self-consistent Monte Carlo models of particle acceleration at parallel shocks. The formalism is developed for non-relativistic flow speeds. It is assumed that particle distributions are nearly isotropic in the fluid frame, an assumption that is generally valid in space plasmas. It is assumed that particle scattering mean-free-paths are much less than the length scales associated with changes in the fluid velocity or particle distribution.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic.; Astrophysics.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Planetary Sciences; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Jokipii, Jack R.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleA single-fluid, self-consistent formulation of particle transport and fluid dynamics.en_US
dc.creatorWilliams, Lance Lee.en_US
dc.contributor.authorWilliams, Lance Lee.en_US
dc.date.issued1993en_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.abstractI present a formulation of fluid dynamics that is consistent with particle transport and acceleration. This formulation consists of two parts: a transport equation that describes the evolution of a particle distribution function in terms of a fluid velocity in which the distribution is embedded, and an equation for the fluid velocity that involves integrals of the distribution function. The motivation of this work is to provide a formalism for calculating the effect of particle acceleration on the flows of typical astrophysical plasmas. It is shown that the equation to be solved simultaneously with the transport equation is just the momentum equation for the system, and that the number and energy equations are implicit in the transport equation. There is no restriction on the energies of particles constituting such systems. Connections are made to the cosmic-ray transport equation, two-fluid models of cosmic-ray - thermal gas interaction, and self-consistent Monte Carlo models of particle acceleration at parallel shocks. The formalism is developed for non-relativistic flow speeds. It is assumed that particle distributions are nearly isotropic in the fluid frame, an assumption that is generally valid in space plasmas. It is assumed that particle scattering mean-free-paths are much less than the length scales associated with changes in the fluid velocity or particle distribution.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectDissertations, Academic.en_US
dc.subjectAstrophysics.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplinePlanetary Sciencesen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairJokipii, Jack R.en_US
dc.contributor.committeememberLevy, Eugene H.en_US
dc.contributor.committeememberSonnett, C.P.en_US
dc.contributor.committeememberStein, Daniel L.en_US
dc.contributor.committeememberBowden, G. Timen_US
dc.identifier.proquest9328566en_US
dc.identifier.oclc717527711en_US
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