Initial Behavior of a Buoyant Magnetic Flux Tube Imbedded in a Rotating Medium

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7524 Magnetic Fields, 7544 Stellar Interiors And Dynamo Theory

Scientific paper

In a non-rotating medium with gravity, an initially stationary, buoyant, untwisted magnetic flux tube will generate 2 counter-rotating vortices as it begins rising. In a 2-D geometry, these vortices ultimately split the flux tube into two fragments, which then repel one another. The trajectory of the flux tube fragments can be predicted extremely well by using a simple analytical treatment based on the initial behavior of the flux tube (see e.g. Longcope, Fisher, and Arendt 1996, Ap.J. 464, 999). Numerical simulations in both 2-D and 3-D geometries show that rotation dramatically changes this behavior, acting to strongly suppress magnetic flux tube fragmentation (see e.g. Wissink et al. 2000, Ap.J. 536, 982 and Abbett, Fisher, & Fan 2001, Ap. J. 546, 1194). Coriolis forces deflect the motions that otherwise would result in strong circulation around the flux tube fragments. In the same spirit as the analytical treatment of Longcope, Fisher & Arendt, we derive equations that describe the initial flow pattern for a 2-D buoyant, untwisted magnetic flux tube rising in a rotating medium, and compare these results to those from numerical simulations.

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