Formage d’une lame métallique liquide. Calculs et expériences (Shaping of a ribbon of liquid metal. Computations and experiments). (French) Zbl 0564.76119

A molten liquid column, placed in a magnetic field which is uniform at infinity, stretches itself along the field lines. The shape of the cross- section realizes the minimum of a functional in which the energy due to the surface tension and the magnetic energy appear. The variational method used is simple and involves the minimization of a convex function of several real variables. The results obtained are compared with some experimental results achieved with mercury.


76W05 Magnetohydrodynamics and electrohydrodynamics
49S05 Variational principles of physics