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

DOI zum Zitieren dieses Dokuments: https://doi.org/10.1103/PhysRevE.61.5528
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: https://doi.org/10.1103/PhysRevE.61.5528

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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 > 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-4038-3
Date Deposited: 19 Feb 2019 09:52
Last Modified: 19 Feb 2019 09:52
URI: https://epub.uni-bayreuth.de/id/eprint/4038

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