| Issue |
Europhys. Lett.
Volume 55, Number 3, August 2001
|
|
|---|---|---|
| Page(s) | 327 - 333 | |
| Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
| DOI | https://doi.org/10.1209/epl/i2001-00419-1 | |
| Published online | 01 December 2003 | |
Scaling behaviour of the maximal growth rate in the Rosensweig instability
Universität Magdeburg, Institut für Theoretische Physik
Universitätsplatz 2, D-39106 Magdeburg, Germany
Received:
5
February
2001
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
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