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Media type:
E-Article
Title:
Non-Axisymmetric Instabilities in Magnetic Spherical Couette Flow
Contributor:
Hollerbach, Rainer
imprint:
The Royal Society, 2009
Published in:Proceedings: Mathematical, Physical and Engineering Sciences
Language:
English
ISSN:
1364-5021
Origination:
Footnote:
Description:
<p>We investigate numerically the flow of an electrically conducting fluid confined in a spherical shell, with the outer sphere stationary, the inner sphere rotating and a magnetic field imposed parallel to the rotation axis. We compute both the axisymmetric basic states and their non-axisymmetric instabilities. Two distinct instability classes emerge, one connected to previous non-magnetic results, the other to previous strongly magnetic results. Both instabilities arise from the basic state's meridional circulation, but are otherwise very different from one another, and are separated by a region of stability that persists even for large Reynolds numbers. Finally, we compute the fully three-dimensional nonlinear equilibration of both instabilities. The second class exhibits a rich variety of secondary bifurcations, involving mode transitions between different azimuthal wave numbers.</p>