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Growth of surface undulations at the Rosensweig instability

DOI zum Zitieren dieses Dokuments: https://doi.org/10.1103/PhysRevE.76.066301
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: https://doi.org/10.1103/PhysRevE.76.066301

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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 > 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-3978-4
Date Deposited: 25 Jan 2019 11:40
Last Modified: 25 Jan 2019 11:40
URI: https://epub.uni-bayreuth.de/id/eprint/3978

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