Exact solutions for equilibrium configurations of the surface of a conducting fluid in a nonuniform magnetic field

被引：0

作者：

Zubarev, N. M. ^{[1
,2
]}

Zubareva, O. V. ^{[1
]}

机构：

[1] RAS, Inst Electrophys, Ural Branch, Ekaterinburg, Russia

[2] RAS, Lebedev Phys Inst, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2016年 / 188卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

equilibrium configuration; exact solution; free surface; conducting fluid; surface tension; nonuniform magnetic field; conformal map method; ELECTRIC-FIELD; LIQUID-METAL; STABILITY; PROFILE;

D O I：

10.1134/S0040577916090105

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：1394 / 1400

页数：7

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