Three-dimensional instabilities of ferromagnetic liquid bridges

被引：0

作者：

A. G. Papathanasiou

A. G. Boudouvis

机构：

[1] Department of Chemical Engineering,

[2] National Technical University of Athens,undefined

[3] Zografou Campus,undefined

[4] GR-Athens 15780,undefined

[5] Greece,undefined

[6] Email: boudouvi@chemeng.ntua.gr,undefined

来源：

Computational Mechanics | 1998年 / 21卷

关键词：

Magnetic Field; Free Boundary; Liquid Drop; Liquid Bridge; Cross Sectional Shape;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The cross section of a ferromagnetic liquid drop held in equilibrium between horizontal plates in a magnetic field loses its circular symmetry past a critical value of the applied field strength. This is caused by instabilities that give way to non-circular cross sectional shapes which, in turn, produce three-dimensional magnetic field distribution inside and outside the drop. Theoretical predictions of equilibrium non-circular shapes and their stability are drawn from the equations governing the magnetohydrostatic equilibrium of the drop. The computational problem is three-dimensional, nonlinear and free boundary and it is solved with the Galerkin/finite element method. Entire branches of circular solutions and non-circular ones are traced by continuation in multi-parameter space. Circular, elliptical and dumbbell-shaped drops have been found. The relative stability of the various shapes is computed by means of computer-implemented bifurcation theory.

引用

页码：403 / 408

页数：5