Numerical study of soliton-like surface configurations on a magnetic fluid layer in the Rosensweig instability

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• 作者：Olga Lavrova ; Gunar Matthies ; Lutz Tobiska
• 关键词：Magnetic liquid ; Rosensweig instability ; Finite elements
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2008
• 出版时间：September 2008
• 年：2008
• 卷：13
• 期：7
• 页码：1302-1310
• 全文大小：398 K

文摘

In the Rosensweig instability, a perpendicular, uniform magnetic field applied to a pool of magnetic fluid generates an ordered periodic pattern on the liquid–air interface when the field exceeds a critical threshold. Decreasing the field strength, a lower critical threshold is observed at which the developed pattern disappears. In this respect, the deformation of the free surface shows a hysteretic behaviour with changing field strength. Recently, in experiments, a novel soliton-like surface configuration has been generated within the hysteretic regime of the Rosensweig instability. The main objective of this paper is a numerical study of this new configuration by means of two models, an axisymmetric two-dimensional one and a fully three-dimensional one.