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Three-dimensional stability of drift vortices
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0000-0002-8739-1934
Department of Technology, Euratom–NFR Fusion Association, Uppsala University.
Department of Technology, Euratom–NFR Fusion Association, Uppsala University.
1996 (English)In: Physics of Plasmas, ISSN 1070-664X, E-ISSN 1089-7674, Vol. 3, no 1, p. 160-167Article in journal (Refereed) Published
Abstract [en]

The three-dimensional stability of drift vortices that are two-dimensionally stable in the framework of the Hasegawa-Mima equation is studied. The three-dimensionality is caused by a coupling of the vortex to ion-acoustic waves that propagate along the magnetic field. It is concluded that this coupling does not significantly destabilize the vortex. A general stability criterion is derived that guarantees stability if the ratio between the parallel wave number k and the azimuthal mode number m is large enough. It is also found that no instability exists in the limit k→ 0 if the potential vorticity is a strictly decreasing function of r. Such profiles are typical for vortices that are two-dimensionally stable. Some particular profiles where the potential vorticity vanishes outside some radius are also examined. In one case an instability with m=1 is found, but a numerical solution of the eigenvalue problem shows that the maximum growth rate is very small, three orders of magnitude smaller than the angular velocity of the vortex flow.

Place, publisher, year, edition, pages
1996. Vol. 3, no 1, p. 160-167
National Category
Fluid Mechanics and Acoustics
Research subject
Fluid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-10019DOI: 10.1063/1.871842Local ID: 8c532570-a3e1-11db-8975-000ea68e967bOAI: oai:DiVA.org:ltu-10019DiVA, id: diva2:982959
Note
Godkänd; 1996; 20070114 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-28Bibliographically approved

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Åkerstedt, Hans O.

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