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Transverse MHD shock waves in a partly ionized plasma. Part 1. Structure equations and topology

Published online by Cambridge University Press:  13 March 2009

C. D. Mathers
C. D. Mathers
Affiliation:
School of Physics, University of Sydney, NSW 2006, Australia
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Abstract

The structure of transverse MHD shock waves in an initially partly ionized plasma is studied using a three-fluid model with collisional transport coefficients. This model includes the effects of non-equilibrium ionization and of ion velocity slip. A closed set of structure equations is obtained and it is shown that they have a saddle-point – saddle-point topology which prohibits direct integration. In distinction from previous MHD shock structure studies, it is not possible to reduce the number of variables in a realistic manner to allow direct integration, nor is it possible to use the method of matched asymptotic expansions. An iterative solution method is presented in this paper, based on a detailed analysis of the integral curve topology.

Type
Research Article
Information
Journal of Plasma Physics , Volume 24 , Issue 1 , August 1980 , pp. 103 - 120
Copyright
Copyright © Cambridge University Press 1980

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