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

Published online by Cambridge University Press:  04 January 2007

CHRISTIAN GOLLWITZER ,
GUNAR MATTHIES ,
REINHARD RICHTER ,
INGO REHBERG  and
LUTZ TOBISKA
CHRISTIAN GOLLWITZER
Affiliation:
Experimentalphysik V, Universität Bayreuth, D-95440 Bayreuth, Germany
GUNAR MATTHIES
Affiliation:
Fakultät für Mathematik, Ruhr-Universität Bochum, Universitätsstraße 150, D-44780 Bochum, Germany
REINHARD RICHTER
Affiliation:
Experimentalphysik V, Universität Bayreuth, D-95440 Bayreuth, Germany
INGO REHBERG
Affiliation:
Experimentalphysik V, Universität Bayreuth, D-95440 Bayreuth, Germany
LUTZ TOBISKA
Affiliation:
Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, PF 4120, D-39106 Magdeburg, Germany
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Abstract

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.

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Papers
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Journal of Fluid Mechanics , Volume 571 , 25 January 2007 , pp. 455 - 474
Copyright
Copyright © Cambridge University Press 2007

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