Maximal growth rate at the Rosensweig instability: theory,experiment, and numerics |
| |
| Authors: | Holger Knieling Adrian Lange Gunnar Matthies Ingo Rehberg Reinhard Richter |
| |
| Institution: | 1. Fraunhofer Institute for Material and Beam Technology, Winterbergstraße 28, D-01277 Dresden, Germany;2. Ruhr–Universität Bochum, Universitätsstraße 150, D-44780 Bochum, Germany;3. Experimentalphysik V, Universität Bayreuth, D-95440 Bayreuth, Germany |
| |
| 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 step like 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 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. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
| |
| Keywords: | |
|
|
