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Growth of surface undulations at the Rosensweig instability

Holger Knieling1, Reinhard Richter1, Ingo Rehberg1, Gunar Matthies2, and Adrian Lange3

  • 1Experimentalphysik V, Universität Bayreuth, D-95440 Bayreuth, Germany
  • 2Ruhr-Universität Bochum, Universitätsstraße 150, D-44780 Bochum, Germany
  • 3Fraunhofer Institute for Material and Beam Technology, Winterbergstraße 28, D-01277 Dresden, Germany

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Phys. Rev. E 76, 066301 – Published 4 December, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.066301

Abstract

We investigate the growth of a pattern of liquid crests emerging in a layer of magnetic liquid when subjected to a magnetic field oriented normally to the fluid surface. After a steplike increase of the magnetic field, the temporal evolution of the pattern amplitude is measured by means of a Hall-sensor array. The extracted growth rate is compared with predictions from linear stability analysis by taking into account the proper nonlinear magnetization curve M(H). The remaining discrepancy can be resolved by numerical calculations via the finite-element method. By starting with a finite surface perturbation, it can reproduce the temporal evolution of the pattern amplitude and the growth rate. The investigations are performed for two magnetic liquids, one with low and one with high viscosity.

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Phys. Rev. E 76, 066301– Published 4 December, 2007
  • Received 24 May 2007

© 2007 American Physical Society

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