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The shape of a magnetic liquid drop

Published online by Cambridge University Press:  26 April 2006

O. E. Séro-Guillaume ,
D. Zouaoui ,
D. Bernardin  and
J. P. Brancher
O. E. Séro-Guillaume
Affiliation:
Lemta UA CNRS 875, 2 Avenue de la Forêt de Haye, 54504 Vandoeuvre-lès-Nancy Cedex, France
D. Zouaoui
Affiliation:
Lemta UA CNRS 875, 2 Avenue de la Forêt de Haye, 54504 Vandoeuvre-lès-Nancy Cedex, France
D. Bernardin
Affiliation:
Lemta UA CNRS 875, 2 Avenue de la Forêt de Haye, 54504 Vandoeuvre-lès-Nancy Cedex, France
J. P. Brancher
Affiliation:
Lemta UA CNRS 875, 2 Avenue de la Forêt de Haye, 54504 Vandoeuvre-lès-Nancy Cedex, France
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Abstract

The electromagnetic forces in a ferrofluid depend on the domain occupied by the fluid. We study here the equilibrium positions of a ferrofluid drop with a boundary which is partially or totally free. The method used is based on the minimization of the energy with respect to the shape of the drop. We show bifurcations of the solutions and hysteresis phenomena when the parameters vary.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 241 , August 1992 , pp. 215 - 232
Copyright
© 1992 Cambridge University Press

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