Effect of rigid toroidal rotation on the stability of a high-beta tokamak to external kink modes

Journal Article · Sun Aug 01 04:00:00 EDT 1993 · Physics of Fluids B; (United States)

DOI:https://doi.org/10.1063/1.860966· OSTI ID:6170991

Bhattacharyya, S N ^[1]

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1. Institute for Plasma Research, Bhat, Gandhinagar 382424 (India)

The effect of rigid toroidal rotation on the stability of a tokamak to external kink modes is examined. For simplicity a surface current model is assumed. For a high-[beta] tokamak it is shown that to leading order the equations governing stability in the presence of rotation are identical to those for a static plasma with [beta] replaced by [beta]+[ital S], where [beta] is the plasma beta and [ital S] is a parameter which provides a measure of the rotation rate. For a circular cross-section tokamak the critical beta for stability to external kink modes in the presence of rigid toroidal rotation is given, to leading order in the inverse aspect ratio [epsilon], by [beta]=0.21[epsilon][minus][ital S]. For an elliptical cross-section tokamak the largest critical beta is obtained for a vertical elongation of 2.2 and is given, to leading order in [epsilon], by [beta]=0.37[epsilon][minus][ital S]. The lower limit on the kink safety factor [ital q]* or the Mercier [ital q] increases with increase in [ital S]. Quantitative estimates of this increase can be obtained from the stability boundaries for the static problem.

• OSTI ID: 6170991
• Journal Information: Physics of Fluids B; (United States), Journal Name: Physics of Fluids B; (United States) Vol. 5:8; ISSN 0899-8221; ISSN PFBPEI
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700340* -- Plasma Waves
Oscillations
& Instabilities-- (1992-)
ANNULAR SPACE
ASPECT RATIO
CLOSED CONFIGURATIONS
CLOSED PLASMA DEVICES
CONFIGURATION
EIGENVALUES
EQUILIBRIUM
HIGH-BETA PLASMA
INSTABILITY
KINK INSTABILITY
MAGNETIC FIELD CONFIGURATIONS
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
ROTATING PLASMA
SPACE
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TOROIDAL CONFIGURATION