Variational principle for slender flux tubes. I. General equations and added mass effects.

Astronomy and Astrophysics – Astrophysics

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Mhd, Magnetic Fields, Sun: Magnetic Fields

Scientific paper

The equation of motion governing slender flux tubes is derived using a variational principle. I consider the interaction between the tube and its surroundings due to buoyancy, added mass (anisotropic inertia) and hydrodynamic drag. It is pointed out that the application of the simple added mass formula commonly used in the litterature is in fact limited to the case of an unstratified, non-rotating flow.

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