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

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

Research output: Contribution to journalArticle

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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 languageEnglish
Pages (from-to)155-161
Number of pages7
JournalJournal of Plasma Physics
Volume70
Issue number2
DOIs
StatePublished - 2004

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cylindrical plasmas
shear flow
boundary layers
viscosity
shear
fluids
curves
geometry
magnetic fields

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Wood, A. D., O'Riordan, E., Sweeney, N., & Paris, R. B. (2004). Marginal states of the resistive tearing mode with flow in cylindrical geometry. Journal of Plasma Physics, 70(2), 155-161. DOI: 10.1017/S0022377803002514

Wood, A. D.; O'Riordan, E.; Sweeney, N.; Paris, Richard B. / Marginal states of the resistive tearing mode with flow in cylindrical geometry.

In: Journal of Plasma Physics, Vol. 70, No. 2, 2004, p. 155-161.

Research output: Contribution to journalArticle

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Wood, AD, O'Riordan, E, Sweeney, N & Paris, RB 2004, 'Marginal states of the resistive tearing mode with flow in cylindrical geometry' Journal of Plasma Physics, vol 70, no. 2, pp. 155-161. DOI: 10.1017/S0022377803002514

Marginal states of the resistive tearing mode with flow in cylindrical geometry. / Wood, A. D.; O'Riordan, E.; Sweeney, N.; Paris, Richard B.

In: Journal of Plasma Physics, Vol. 70, No. 2, 2004, p. 155-161.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Marginal states of the resistive tearing mode with flow in cylindrical geometry

AU - Wood,A. D.

AU - O'Riordan,E.

AU - Sweeney,N.

AU - Paris,Richard B.

PY - 2004

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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.

U2 - 10.1017/S0022377803002514

DO - 10.1017/S0022377803002514

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VL - 70

SP - 155

EP - 161

JO - Journal of Plasma Physics

T2 - Journal of Plasma Physics

JF - Journal of Plasma Physics

SN - 0022-3778

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Wood AD, O'Riordan E, Sweeney N, Paris RB. Marginal states of the resistive tearing mode with flow in cylindrical geometry. Journal of Plasma Physics. 2004;70(2):155-161. Available from, DOI: 10.1017/S0022377803002514