Flow instabilities of magnetic flux tubes
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Publication:5427174
DOI10.1051/0004-6361:20077269zbMATH Open1211.85002arXiv0704.3685OpenAlexW4302488338WikidataQ68626407 ScholiaQ68626407MaRDI QIDQ5427174
Author name not available (Why is that?)
Publication date: 19 November 2007
Published in: (Search for Journal in Brave)
Abstract: Flow-induced instabilities are relevant for the storage and dynamics of magnetic fields in stellar convection zones and possibly also in other astrophysical contexts. We continue the study started in the first paper of this series by considering the stability properties of longitudinal flows along magnetic flux tubes. A linear stability analysis was carried out to determine criteria for the onset of instability in the framework of the approximation of thin magnetic flux tubes. In the non-dissipative case, we find Kelvin-Helmholtz instability for flow velocities exceeding a critical speed that depends on the Alfv{'e}n speed and on the ratio of the internal and external densities. Inclusion of a friction term proportional to the relative transverse velocity leads to a friction-driven instability connected with backward (or negative energy) waves. We discuss the physical nature of this instability. In the case of a stratified external medium, the Kelvin-Helmholtz instability and the friction-driven instability can set in for flow speeds significantly lower than the Alfv{'e}n speed. Dissipative effects can excite flow-driven instability below the thresholds for the Kelvin-Helmholtz and the undulatory (Parker-type) instabilities. This may be important for magnetic flux storage in stellar convection zones and for the stability of astrophysical jets.
Full work available at URL: https://arxiv.org/abs/0704.3685
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