The normal field instability under side-wall effects: Comparison of experiments and computations

Gollwitzer, C; Spyropoulos, AN; Papathanasiou, AG; Boudouvis, AG; Richter, R

dc.contributor.author	Gollwitzer, C	en
dc.contributor.author	Spyropoulos, AN	en
dc.contributor.author	Papathanasiou, AG	en
dc.contributor.author	Boudouvis, AG	en
dc.contributor.author	Richter, R	en
dc.date.accessioned	2014-03-01T01:32:10Z
dc.date.available	2014-03-01T01:32:10Z
dc.date.issued	2009	en
dc.identifier.issn	1367-2630	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20060
dc.subject	Finite Element Method	en
dc.subject	Magnetic Field	en
dc.subject	Surface Topography	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.other	Cylindrical containers	en
dc.subject.other	Ferrofluid	en
dc.subject.other	Finite size	en
dc.subject.other	Normal-field instability	en
dc.subject.other	Side walls	en
dc.subject.other	Symmetric systems	en
dc.subject.other	Transcritical bifurcation	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Hysteresis	en
dc.subject.other	Magnetic fields	en
dc.subject.other	Surface topography	en
dc.title	The normal field instability under side-wall effects: Comparison of experiments and computations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/1367-2630/11/5/053016	en
heal.identifier.secondary	http://dx.doi.org/10.1088/1367-2630/11/5/053016	en
heal.identifier.secondary	053016	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We consider a single spike of ferrofluid, arising in a small cylindrical container, when a vertically oriented magnetic field is applied. The height of the spike as well as the surface topography is measured experimentally by two different technologies and calculated numerically using the finite element method. As a consequence of the finite size of the container, the numerics uncovers an imperfect bifurcation to a single spike solution, which is forward. This is in contrast to the standard transcritical bifurcation to hexagons, common for rotational symmetric systems with broken up-down symmetry. The numerical findings are corroborated in the experiments. The small hysteresis observed is explained in terms of a hysteretic wetting of the side wall. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	New Journal of Physics	en
dc.identifier.doi	10.1088/1367-2630/11/5/053016	en
dc.identifier.isi	ISI:000266458400005	en
dc.identifier.volume	11	en