Equilibrium Configurations of the Surface of a Perfectly Conducting Fluid in the Magnetic Field of a Current-Carrying Linear Conductor
N. M. Zubarev, O. V. Zubareva
Keywords: free surface, conducting fluid, magnetic field, linear current-carrying conductor, exact solutions
Abstract
This paper considers the problem of the possible equilibrium configurations of the free surface of a perfectly conducting fluid deformed by a nonuniform magnetic field. A family of exact solutions of the problem is obtained using conformal mappings; equilibrium is achieved due to the balance of capillary and magnetic pressures. According to these solution, the surface strain amplitude increases with increasing current and the hole is transformed into a two-dimensional bubble covering the linear conductor.
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