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@article{Ferguson:2022:10.1098/rspa.2022.0458,
author = {Ferguson, Briggs S and Mestel, A},
doi = {10.1098/rspa.2022.0458},
journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
title = {Stability of an inhomogeneous ferrofluid in a channel, subject to a normal field},
url = {http://dx.doi.org/10.1098/rspa.2022.0458},
volume = {478},
year = {2022}
}

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TY  - JOUR
AB  - The stability of a ferrofluid with a fairly arbitrary non-uniform magnetic susceptibility between two parallel walls, subject to a non-uniform magnetic field acting normal to the walls, is investigated. The susceptibility may depend on position and the field strength, and the stationary state is such that the gradient of the susceptibility with respect to the modulus of the field is negative. Previous work suggests that the configuration may be linearly unstable, as regions of higher susceptibility do not coincide with regions of strongest field, and this is proved here. Adding a constant field in the plane of the layer suppresses parallel instabilities, but has no effect on those orthogonal to it. However, it is demonstrated that stability can be achieved by applying a rapidly rotating field.
AU  - Ferguson,Briggs S
AU  - Mestel,A
DO  - 10.1098/rspa.2022.0458
PY  - 2022///
SN  - 1364-5021
TI  - Stability of an inhomogeneous ferrofluid in a channel, subject to a normal field
T2  - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
UR  - http://dx.doi.org/10.1098/rspa.2022.0458
UR  - http://hdl.handle.net/10044/1/101534
VL  - 478
ER  -

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