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2002-37

Finite Element Methods for Coupled Problems in Ferrohydrodynamics

by Lavrova, O., Matthies, G., Mitkova, T., Polevikov, V., Tobiska,L..


Series: 2002-37, Preprints

MSC:
65N30 Finite elements, ~Rayleigh-Ritz and Galerkin methods, finite methods
76D05 ~Navier-Stokes equations
78A30 Electro- and magnetostatics

Abstract:
The interaction between a magnetisable fluid and an external magnetic field
gives rise to several interesting phenomena in ferrohydrodynamics. Our
mathematical models and solution strategies are mainly
focused on cases in which the magnetic liquid exhibits a free surface
which is not known a-priori. In particular, two special problems are taken
into consideration: the behaviour of a ferrofluid drop in a rotary shaft
seal and the generation of an ordered pattern of surface protuberances
when the applied field exceeds a critical value.

Keywords:
finite element methods, ferrohydrodynamics