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Retarding the growth of the Rosensweig instability unveils a new scaling regime

URN to cite this document: urn:nbn:de:bvb:703-epub-3930-7

Title data

Lange, Adrian ; Gollwitzer, Christian ; Maretzki, Robin ; Rehberg, Ingo ; Richter, Reinhard:
Retarding the growth of the Rosensweig instability unveils a new scaling regime.
In: Physical Review E. Vol. 93 (2016) . - Art.Nr. 043106.
ISSN 1550-2376
DOI der Verlagsversion: https://doi.org/10.1103/PhysRevE.93.043106

Format:	PDF
Name:	PhysRevE.93.043106.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

Using a highly viscous magnetic fluid, the dynamics in the aftermath of the Rosensweig instability can be slowed down by more than 2000 times. In this way we expand the regime where the growth rate is predicted to scale linearly with the bifurcation parameter by six orders of magnitude, while this regime is tiny for standard ferrofluids and cannot be resolved experimentally there. We measure the growth of the pattern by means of a two-dimensional imaging technique, and find that the slopes of the growth and decay rates are not the same—a qualitative discrepancy with respect to the theoretical predictions. We solve this discrepancy by taking into account a viscosity which is assumed to be different for the growth and decay. This may be a consequence of the measured shear thinning of the ferrofluid.

Further data

Item Type:	Article in a journal
Keywords:	Bifurcations; free-surface flows; rheology; shear thinning; complex fluids; ferrofluids; magnetic fluids; non-Newtonian fluids
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-3930-7
Date Deposited:	21 Jan 2019 13:19
Last Modified:	30 Jun 2020 10:39
URI:	https://epub.uni-bayreuth.de/id/eprint/3930

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