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

DOI zum Zitieren dieses Dokuments: https://doi.org/10.1088/1367-2630/11/5/053016
URN to cite this document: urn:nbn:de:bvb:703-epub-3966-7

Title data

Gollwitzer, Christian ; Spyropoulos, A. N. ; Papathanasiou, A. G. ; Boudouvis, A. G. ; Richter, Reinhard:
The normal field instability under side-wall effects : comparison of experiments and computations.
In: New Journal of Physics. Vol. 11 (2009) . - no. 053016.
ISSN 1367-2630
DOI: https://doi.org/10.1088/1367-2630/11/5/053016

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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.

Further data

Item Type: Article in a journal
Keywords: Nonlinear dynamics; Pattern formation; Spatially extended systems; Magnetic fluids
DDC Subjects: 500 Science > 530 Physics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics V > Chair Experimental Physics V - Univ.-Prof. Dr. Ingo Rehberg
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics V
Profile Fields
Profile Fields > Advanced Fields
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-3966-7
Date Deposited: 20 Feb 2019 10:33
Last Modified: 20 Feb 2019 10:33
URI: https://epub.uni-bayreuth.de/id/eprint/3966

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