Magnetic field twist driven by remote convective motions: Characteristics and twist rates

Physics

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Convective Flow, Magnetic Fields, Photosphere, Solar Corona, Twisting, Dissipation, Electrical Resistivity, Flat Plates, Hartmann Number, Models, Plasmas (Physics), Vertical Orientation

Scientific paper

It is generally believed that convective motions below the solar photosphere induce a twist in the coronal magnetic field as a result of frozen-in physics. A question of interest is how much twist can one expect from a persistent convective motion, given the fact that dissipative effects will eventually figure. This question is examined by considering a model problem: two conducting plates, with finite resistivity, are set in sheared motion and forced at constant relative speed. A resistive plasma is between the plates and an initially vertical magnetic field connects the plates. The time rate of tilt experienced by the field is obtained as a function of Hartmann number and the resistivity ratio. Both analytical and numerical approaches are considered.

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