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Journal Articles European Journal of Mechanics - B/Fluids Year : 2007

Spherical Couette flow in a dipolar magnetic field

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Abstract

We consider numerically the flow of an electrically conducting fluid in a differentially rotating spherical shell, in a dipolar magnetic field. For infinitesimal differential rotation the flow consists of a super-rotating region, concentrated on the particular field line View the MathML source just touching the outer sphere, in agreement with previous results. Finite differential rotation suppresses this super-rotation, and pushes it inward, toward the equator of the inner sphere. For sufficiently strong differential rotation the outer boundary layer becomes unstable, yielding time-dependent solutions. Adding an overall rotation suppresses these instabilities again. The results are in qualitative agreement with the DTS liquid sodium experiment.

Dates and versions

insu-00346226 , version 1 (11-12-2008)

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R. Hollerbach, Elisabeth Canet, Alexandre Fournier. Spherical Couette flow in a dipolar magnetic field. European Journal of Mechanics - B/Fluids, 2007, 26 (6), pp.729 à 737. ⟨10.1016/j.euromechflu.2007.02.002⟩. ⟨insu-00346226⟩
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