Scaling behaviour of the maximal growth rate in the Rosensweig instability
Universität Magdeburg, Institut für Theoretische Physik
Universitätsplatz 2, D-39106 Magdeburg, Germany
Accepted: 17 May 2001
The dependence of the maximal growth rate of the modes of the Rosensweig instability on the properties of the magnetic fluid and the external magnetic induction is studied. An expansion and a fit procedure are applied in the appropriate ranges of the supercritical induction . With increasing the scaling of the maximal growth rate changes from linear to a combination of linear and square-root-like scaling. The scaling of the corresponding wave number alternates from quadratic to primarily linear. For very small the dependence of the maximal growth rate on the viscosity is given. Suggestions are made for experiments to test the predicted scaling behaviours.
PACS: 47.20.Ma – Interfacial instability / 75.50.Mm – Magnetic liquids
© EDP Sciences, 2001