The Dynamics of Fibril Magnetic Fields - Part Four - Trapping in Closed Convective Rolls

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The equations of motion for a slender, buoyant flux tube extending horizontally along a closed convective roll are solved to illustrate the motion of the flux tube relative to the fluid. The principal effect of the buoyant rise u of the flux tube is to offset the path of the tube (which remains closed) from the closed circulation pattern of the fluid. Further investigation shows that an upward decrease of ρ u causes the position of the tube to spiral inward to the dynamical equilibrium point where the convective downdraft is equal to the buoyant rise. Any variation of the convective velocity along the length of the roll has the same effect, so that flux tubes, or fibrils, are stably trapped in any closed convective flow that exceeds u.
The effect may be operative in the convective zone of the Sun and other stars where the meridional circulation is larger than the rate of rise of the standard fibril. Even if there is no long-term trapping of the field, the position of emergence of flux tubes at the surface of the Sun may be widely removed from their birthplace. A number of examples are given to illustrate the possibilities.

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