Ballooning instabilities in tokamaks with sheared toroidal flows

• F. L. Waelbroeck

  Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543

• L. Chen

  Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543

抄録

The stability of ballooning modes in the presence of sheared toroidal flows is investigated. The eigenmodes are shown to be related by a Fourier transformation to the nonexponentially growing Floquet solutions found by Cooper [Plasma Phys. Controlled Fusion 30, 1805 (1988)]. It is further shown that the problem cannot be reduced further than to a two-dimensional partial differential equation. Next, the generalized ballooning equation is solved analytically for a circular tokamak equilibrium with sonic flows, but with a small rotation shear compared to the sound speed. With this ordering, the centrifugal forces are comparable to the pressure gradient forces driving the instability, but coupling of the mode with the sound wave is avoided. A new stability criterion is derived that explicitly demonstrates that flow shear is stabilizing at constant centrifugal force gradient.

収録刊行物

• Physics of Fluids B: Plasma Physics

  Physics of Fluids B: Plasma Physics 3 (3), 601-610, 1991-03-01

  AIP Publishing

キーワード

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

詳細情報

• CRID: 1363107369467738240
• NII論文ID: 30015998800
• DOI: 10.1063/1.859858
• ISSN: 08998221
• Web Site: https://pubs.aip.org/aip/pfb/article-pdf/3/3/601/12261157/601_1_online.pdf
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