Equilibrium and stability of interfaces between polarizable fluids: Theory and computations

Papathanasiou, AG; Boudouvis, AG; Markatos, NC

dc.contributor.author	Papathanasiou, AG	en
dc.contributor.author	Boudouvis, AG	en
dc.contributor.author	Markatos, NC	en
dc.date.accessioned	2014-03-01T01:16:34Z
dc.date.available	2014-03-01T01:16:34Z
dc.date.issued	2001	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14082
dc.subject	Case Study	en
dc.subject	Eigenvectors	en
dc.subject	Energy Function	en
dc.subject	External Field	en
dc.subject	Finite Element Method	en
dc.subject	Free Boundary Problem	en
dc.subject	Magnetic Field	en
dc.subject	Newton Iteration	en
dc.subject	Turning Point	en
dc.subject	Variational Formulation	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Electric fields	en
dc.subject.other	Finite element method	en
dc.subject.other	Iterative methods	en
dc.subject.other	Magnetic fields	en
dc.subject.other	Magnetic fluids	en
dc.subject.other	Phase equilibria	en
dc.subject.other	Polarization	en
dc.subject.other	Stability	en
dc.subject.other	Variational techniques	en
dc.subject.other	Ferromagnetic liquid drop	en
dc.subject.other	Newton iteration	en
dc.subject.other	Polarizable fluids	en
dc.subject.other	Interfaces (materials)	en
dc.title	Equilibrium and stability of interfaces between polarizable fluids: Theory and computations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s004660000231	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s004660000231	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	A variational formulation is presented of the equilibrium and stability of interfaces between polarizable fluids in the presence of external fields. Equilibrium and stability demand minimization of an appropriate energy functional. The necessary conditions for the minimization give rise to a nonlinear and free boundary problem which is discretized and solved for the field in the fluids and the interface shape with the finite element method and Newton iteration. The sufficient conditions boil down to a generalized eigenproblem, which needs to be solved for the eigenvalues of smallest magnitude and the corresponding eigenvectors. The case studied is a rotating ferromagnetic liquid drop in an external magnetic field. Axisymmetric solutions are computed at different values of the rotational speed. They lose stability to axisymmetric disturbances at turning points and they exchange stability with non-axisymmetric solutions at bifurcation points.	en
heal.publisher	SPRINGER-VERLAG	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s004660000231	en
dc.identifier.isi	ISI:000168065700008	en
dc.identifier.volume	27	en
dc.identifier.issue	3	en
dc.identifier.spage	253	en
dc.identifier.epage	257	en