Magnetic buoyancy revisited - Analytical and numerical results for rising flux tubes

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Buoyancy, Convective Flow, Dynamo Theory, Magnetic Flux, Magnetohydrodynamic Flow, Solar Magnetic Field, Boundary Value Problems, Shear Flow, Solar Activity, Stellar Rotation, Stratified Flow

Scientific paper

The buoyancy of magnetic flux tubes in the sun is reconsidered by investigating the effect of a shear flow (differential rotation) on the balance of magnetic-flux gain and loss, by examining the hydrostatic pressure stratification inside and outside a horizontal flux tube, and by numerically integrating the full set of MHD equations as an initial-value problem for the two-dimensional case. The results obtained show that: (1) flux tubes with a strong magnetic field can be produced in the solar convection zone for any realistic choice of parameters by consistent consideration of flux gain via differential rotation and flux loss due to magnetic buoyancy; (2) the buoyancy force can be determined by integration of the pressure deviation over the surface of a flux tube; and (3) rising flux tubes with a strong magnetic field experience distortion and eventually fragment.

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