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Marginal states of the resistive tearing mode with flow in cylindrical geometry

Published online by Cambridge University Press:  09 March 2004

A. D. WOOD ,
E. O'RIORDAN ,
N. SWEENEY  and
R. B. PARIS
A. D. WOOD
Affiliation:
School of Mathematical Sciences and NCPST, Dublin City University, Dublin, Ireland
E. O'RIORDAN
Affiliation:
School of Mathematical Sciences and NCPST, Dublin City University, Dublin, Ireland
N. SWEENEY
Affiliation:
School of Mathematical Sciences and NCPST, Dublin City University, Dublin, Ireland
R. B. PARIS
Affiliation:
Division of Mathematical Sciences, University of Abertay Dundee, Dundee DD1 1HG, UK (r.paris@abertay.ac.uk)
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Abstract

The linear stability of tearing modes in a cylindrical plasma subject to a sub-Alfvénic equilibrium shear flow along the equilibrium magnetic field is considered. The equations in the resistive boundary layer at the rational surface are solved numerically using a Fourier transform combined with a finite-element approach. The behaviour of the growth rate as a function of the flow and the various parameters (including a perpendicular fluid viscosity) is obtained. Marginal stability curves showing the dependence of the familiar matching parameter $\Delta'$ with flow and shear are also given.

Type
Papers
Information
Journal of Plasma Physics , Volume 70 , Issue 2 , April 2004 , pp. 155 - 161
Copyright
2004 Cambridge University Press

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