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.
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页码：403 / 408
页数：5
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