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Wave number of maximal growth in viscous magnetic fluids of arbitrary depth

URN to cite this document: urn:nbn:de:bvb:703-epub-4038-3

Title data

Lange, Adrian ; Reimann, Bert ; Richter, Reinhard:
Wave number of maximal growth in viscous magnetic fluids of arbitrary depth.
In: Physical Review E. Vol. 61 (May 2000) Issue 5 . - pp. 5528-5539.
ISSN 1550-2376
DOI der Verlagsversion: https://doi.org/10.1103/PhysRevE.61.5528

Format:	PDF
Name:	PhysRevE.61.5528.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

An analytical method within the frame of linear stability theory is presented for the normal field instability in magnetic fluids. It allows us to calculate the maximal growth rate and the corresponding wave number for any combination of thickness and viscosity of the fluid. Applying this method to magnetic fluids of finite depth, these results are quantitatively compared to the wave number of the transient pattern observed experimentally after a jumplike increase of the field. The wave number grows linearly with increasing induction where the theoretical and the experimental data agree well. Thereby, a long-standing controversy about the behavior of the wave number above the critical magnetic field is tackled.

Further data

Item Type:	Article in a journal
Keywords:	Interfacial instabilities (e. g., Rayleigh-Benard); 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-4038-3
Date Deposited:	19 Feb 2019 09:52
Last Modified:	06 Jul 2020 10:46
URI:	https://epub.uni-bayreuth.de/id/eprint/4038

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