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

A. D. Wood; E. O'Riordan; N. Sweeney; Richard B. Paris

doi:10.1017/S0022377803002514

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

A. D. Wood, E. O'Riordan, N. Sweeney, Richard B. Paris

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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 Δ' with flow and shear are also given.

Original language	English
Pages (from-to)	155-161
Number of pages	7
Journal	Journal of Plasma Physics
Volume	70
Issue number	2
DOIs	https://doi.org/10.1017/S0022377803002514
Publication status	Published - 2004

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abstract = "The linear stability of tearing modes in a cylindrical plasma subject to a sub-Alfv{\'e}nic 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 Δ' with flow and shear are also given.",

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AU - Sweeney, N.

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AB - 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 Δ' with flow and shear are also given.

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