02-37

Finite Element Methods for Coupled Problems in Ferrohydrodynamics

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

 

Preprint series: 02-37, Preprints

MSC:
65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
76D05 Navier-Stokes equations, See also {35Q30}
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


The author(s) agree, that this abstract may be stored asfull text and distributed as such by abstracting services.

Letzte Änderung: 01.03.2018 - Ansprechpartner: Webmaster