Abstract/Details

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


1993 1993

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Abstract (summary)

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.

Indexing (details)


Subject
Astronomy;
Astrophysics
Classification
0606: Astronomy
0606: Astrophysics
Identifier / keyword
Pure sciences; cosmic rays; space plasmas
Title
A single-fluid, self-consistent formulation of particle transport and fluid dynamics
Author
Williams, Lance Lee
Number of pages
138
Publication year
1993
Degree date
1993
School code
0009
Source
DAI-B 54/05, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Advisor
Jokipii, J. R.
University/institution
The University of Arizona
University location
United States -- Arizona
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9328566
ProQuest document ID
304033784
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304033784
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