Three-dimensional instabilities of ferromagnetic liquid bridges

Papathanasiou, AG; Boudouvis, AG

dc.contributor.author	Papathanasiou, AG	en
dc.contributor.author	Boudouvis, AG	en
dc.date.accessioned	2014-03-01T01:14:15Z
dc.date.available	2014-03-01T01:14:15Z
dc.date.issued	1998	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12951
dc.subject	Bifurcation Theory	en
dc.subject	Critical Value	en
dc.subject	Cross Section	en
dc.subject	Finite Element Method	en
dc.subject	Free Boundary	en
dc.subject	Magnetic Field	en
dc.subject	Parameter Space	en
dc.subject	Three Dimensional	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Computational methods	en
dc.subject.other	Ferromagnetic materials	en
dc.subject.other	Finite element method	en
dc.subject.other	Magnetohydrodynamics	en
dc.subject.other	Ferromagnetic liquid bridges	en
dc.subject.other	Galerkin method	en
dc.subject.other	Drop formation	en
dc.title	Three-dimensional instabilities of ferromagnetic liquid bridges	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s004660050318	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s004660050318	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	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.	en
heal.publisher	Springer-Verlag GmbH & Company KG, Berlin, Germany	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s004660050318	en
dc.identifier.isi	ISI:000074177700018	en
dc.identifier.volume	21	en
dc.identifier.issue	4-5	en
dc.identifier.spage	403	en
dc.identifier.epage	408	en