A. Achterberg, VARIATIONAL PRINCIPLE FOR SLENDER FLUX TUBES .1. GENERAL EQUATIONS AND ADDED-MASS EFFECTS, Astronomy and astrophysics, 313(3), 1996, pp. 1008-1015
The equation of motion governing slender Aux tubes is derived using a
variational principle. I consider the interaction between the tube and
its surroundings due to buoyancy, added mass (anisotropic inertia) an
d hydrodynamic drag. It is pointed out that the application of the sim
ple added mass formula commonly used in the litterature is in fact lim
ited to the case of an unstratified, non-rotating flow.