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Maximal growth rate at the Rosensweig instability : theory, experiment, and numerics

Title data

Knieling, Holger ; Lange, Adrian ; Matthies, Gunar ; Rehberg, Ingo ; Richter, Reinhard:
Maximal growth rate at the Rosensweig instability : theory, experiment, and numerics.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 7 (December 2007) Issue 1 . - pp. 4140025-4140026.
ISSN 1617-7061
DOI: https://doi.org/10.1002/pamm.200700969

Abstract in another language

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.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: Vol.7, Issue 1: Sixth Intern. Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics V > Chair Experimental Physics V - Univ.-Prof. Dr. Ingo Rehberg
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics V
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 27 Sep 2018 07:21
Last Modified: 01 Oct 2018 10:39
URI: https://eref.uni-bayreuth.de/id/eprint/42952