Exact solutions for equilibrium configurations of the surface of a conducting fluid in a nonuniform magnetic field
| Autor: | O. V. Zubareva, N. M. Zubarev |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
010302 applied physics
Surface (mathematics) Physics Capillary action Statistical and Nonlinear Physics Conformal map Mechanics 01 natural sciences 010305 fluids & plasmas Magnetic field Conductor Surface tension Classical mechanics Exact solutions in general relativity Free surface 0103 physical sciences Mathematical Physics |
| Zdroj: | Theoretical and Mathematical Physics. 188:1394-1400 |
| ISSN: | 1573-9333 0040-5779 |
| Popis: | We study the two-dimensional magnetic shaping problem for the situation where the free surface of a perfectly conducting fluid is deformed by the magnetic field of a system of linear current-carrying conductors. Equilibrium is achieved due to the balance of capillary and magnetic pressures. We obtain exact solutions of the problem using conformal map techniques. These solutions describe a system of two-dimensional dimples that appear on the initially flat surface of a liquid conductor under the action of a nonuniform magnetic field. We consider the case of two symmetrically located dimples in detail. |
| Databáze: | OpenAIRE |
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