Pattern and wavenumber selection in ferrofluids
Pattern Formation and Solitons
2016-08-16 v2
Abstract
The formation of patterns of peaks on the free surface of a ferrofluid subject to a magnetic field normal to the undisturbed interface is investigated theoretically. The relative stability of ridge, square, and hexagon planforms is studied using a perturbative energy minimization procedure. Extending previous studies the finite depth of the fluid layer is taken into account. Moreover, adding the wavenumber modulus to the set of variational parameters also the wavenumber selection problem is addressed. The results are compared with previous investigations and recent experimental findings.
Cite
@article{arxiv.nlin/0102004,
title = {Pattern and wavenumber selection in ferrofluids},
author = {René Friedrichs and Andreas Engel},
journal= {arXiv preprint arXiv:nlin/0102004},
year = {2016}
}
Comments
14 pages, 11 figures; added references, revised version published in PRE