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Growth of surface undulations at the Rosensweig instability

URN to cite this document: urn:nbn:de:bvb:703-epub-3978-4

Title data

Knieling, Holger ; Richter, Reinhard ; Rehberg, Ingo ; Matthies, Gunar ; Lange, Adrian:
Growth of surface undulations at the Rosensweig instability.
In: Physical Review E. Vol. 76 (December 2007) Issue 6 . - Art. Nr. 066301.
ISSN 1550-2376
DOI der Verlagsversion: https://doi.org/10.1103/PhysRevE.76.066301

Format:	PDF
Name:	PhysRevE.76.066301.pdf
Version:	Published Version
Available under License	German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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Abstract

We investigate the growth of a pattern of liquid crests emerging in a layer of magnetic liquid when subjected to a magnetic field oriented normally to the fluid surface. After a steplike increase of the magnetic field, the temporal evolution of the pattern amplitude is measured by means of a Hall-sensor array. The extracted growth rate is compared with predictions from linear stability analysis by taking into account the proper nonlinear magnetization curve M(H). The remaining discrepancy can be resolved by numerical calculations via the finite-element method. By starting with a finite surface perturbation, it can reproduce the temporal evolution of the pattern amplitude and the growth rate. The investigations are performed for two magnetic liquids, one with low and one with high viscosity.

Further data

Item Type:	Article in a journal
Keywords:	Interfacial instabilities (e.g., Rayleigh-Taylor); Pattern selection, pattern formation; Magnetic liquids
DDC Subjects:	500 Science > 530 Physics
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors > 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 Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-3978-4
Date Deposited:	25 Jan 2019 11:40
Last Modified:	03 Jul 2020 10:49
URI:	https://epub.uni-bayreuth.de/id/eprint/3978

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