Spherical Couette flow in a dipolar magnetic field

Details Spherical Couette flow in a dipolar magnetic field Spherical Couette flow in a dipolar magnetic field

2007-02-26

arxiv.org/abs/physics/0702228v1

European Journal of Mechanics B, 26 (2007) 729-737

Physics

Geophysics

Scientific paper

10.1016/j.euromechflu.2007.02.00

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 C 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.

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