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Relaxed states in a spheromak with inhomogeneous boundary fields

Published online by Cambridge University Press:  13 March 2009

A. M. Dixon ,
P. K. Browning ,
M. K. Bevir ,
C. G. Gimblett  and
E. R. Priest
A. M. Dixon
Affiliation:
Department of Mathematical Sciences, University of St Andrews, North Haugh, St Andrews, Fife KY16 9SS, Scotland
P. K. Browning
Affiliation:
Department of Mathematical Sciences, University of St Andrews, North Haugh, St Andrews, Fife KY16 9SS, Scotland
M. K. Bevir
Affiliation:
Department of Mathematical Sciences, University of St Andrews, North Haugh, St Andrews, Fife KY16 9SS, Scotland
C. G. Gimblett
Affiliation:
Department of Mathematical Sciences, University of St Andrews, North Haugh, St Andrews, Fife KY16 9SS, Scotland
E. R. Priest
Affiliation:
Department of Mathematical Sciences, University of St Andrews, North Haugh, St Andrews, Fife KY16 9SS, Scotland
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Abstract

In this paper we consider force-free equilibrium solutions of the MHD equations in a spherical geometry for the case in which magnetic flux crosses the boundary of the containing vessel. The main motivation is to model more faithfully actual spheromak experiments in the laboratory, for which boundaries are unlikely to be magnetic surfaces. We show how a general inhomogeneous boundary field may be constructed from individual components. In particular, we consider the cases of a boundary field of dipolar form and one of quadrupolar form. We then go on to discuss solutions for fields embedded in point or ring electrodes using the ‘general solution’, some of which can be used to model experiments such as the PS-1- or CTX-type spheromaks.

Type
Research Article
Information
Journal of Plasma Physics , Volume 43 , Issue 3 , June 1990 , pp. 357 - 383
Copyright
Copyright © Cambridge University Press 1990

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