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The surface topography of a magnetic fluid : a quantitative comparison between experiment and numerical simulation

Title data

Gollwitzer, Christian ; Matthies, Gunar ; Richter, Reinhard ; Rehberg, Ingo ; Tobiska, Lutz:
The surface topography of a magnetic fluid : a quantitative comparison between experiment and numerical simulation.
In: Journal of Fluid Mechanics. Vol. 571 (January 2007) . - pp. 455-474.
ISSN 1469-7645
DOI: https://doi.org/10.1017/S0022112006003466

Official URL: Volltext

Abstract in another language

The normal field instability in magnetic liquids is investigated experimentally by means of a radioscopic technique which allows a precise measurement of the surface topography. The dependence of the topography on the magnetic field is compared to results obtained by numerical simulations via the finite-element method. Quantitative agreement has been found for the critical field of the instability, the scaling of the pattern amplitude and the detailed shape of the magnetic spikes. The fundamental Fourier mode approximates the shape to within 10% accuracy for a range of up to 40% of the bifurcation parameter of this subcritical bifurcation. The measured control parameter dependence of the wavenumber differs qualitatively from analytical predictions obtained by minimization of the free energy.

Further data

Item Type: Article in a journal
Refereed: Yes
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
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 27 Sep 2018 08:40
Last Modified: 27 Sep 2018 08:40
URI: https://eref.uni-bayreuth.de/id/eprint/42958