Ballooning stability of axisymmetric plasmas with sheared equilibrium flows

A. Bhattacharjee; R. Iacono; J. L. Milovich; C. Paranicas

doi:10.1063/1.859035

Ballooning stability of axisymmetric plasmas with sheared equilibrium flows

A. Bhattacharjee, R. Iacono, J. L. Milovich, C. Paranicas

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20 Scopus citations

Abstract

A WKB theory is formulated for large-n ballooning modes in axisymmetric, toroidal plasmas with sheared equilibrium flows. The validity of the standard ballooning representation is severely restricted in the presence of sheared toroidal flow, despite the fact that to leading order in (1/n), where n is the azimuthal number, the eigenmode equation contains only derivatives along a field line. Necessary and sufficient conditions for stability are obtained in a high-beta ordering for rigid toroidal rotation as well as field-aligned flows.

Original language	English (US)
Pages (from-to)	2207-2212
Number of pages	6
Journal	Physics of Fluids B
Volume	1
Issue number	11
DOIs	https://doi.org/10.1063/1.859035
State	Published - 1989
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
General Physics and Astronomy
Fluid Flow and Transfer Processes

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10.1063/1.859035

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abstract = "A WKB theory is formulated for large-n ballooning modes in axisymmetric, toroidal plasmas with sheared equilibrium flows. The validity of the standard ballooning representation is severely restricted in the presence of sheared toroidal flow, despite the fact that to leading order in (1/n), where n is the azimuthal number, the eigenmode equation contains only derivatives along a field line. Necessary and sufficient conditions for stability are obtained in a high-beta ordering for rigid toroidal rotation as well as field-aligned flows.",

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AU - Bhattacharjee, A.

AU - Iacono, R.

AU - Milovich, J. L.

AU - Paranicas, C.

PY - 1989

Y1 - 1989

N2 - A WKB theory is formulated for large-n ballooning modes in axisymmetric, toroidal plasmas with sheared equilibrium flows. The validity of the standard ballooning representation is severely restricted in the presence of sheared toroidal flow, despite the fact that to leading order in (1/n), where n is the azimuthal number, the eigenmode equation contains only derivatives along a field line. Necessary and sufficient conditions for stability are obtained in a high-beta ordering for rigid toroidal rotation as well as field-aligned flows.

AB - A WKB theory is formulated for large-n ballooning modes in axisymmetric, toroidal plasmas with sheared equilibrium flows. The validity of the standard ballooning representation is severely restricted in the presence of sheared toroidal flow, despite the fact that to leading order in (1/n), where n is the azimuthal number, the eigenmode equation contains only derivatives along a field line. Necessary and sufficient conditions for stability are obtained in a high-beta ordering for rigid toroidal rotation as well as field-aligned flows.

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JF - Physics of Fluids B

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ER -

Ballooning stability of axisymmetric plasmas with sheared equilibrium flows

Abstract

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