Doak, A;
Vanden-Broeck, J-M;
(2019)
Travelling wave solutions on an axisymmetric ferrofluid jet.
Journal of Fluid Mechanics
, 865
pp. 414-439.
10.1017/jfm.2019.60.
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Abstract
We consider a potential flow model of axisymmetric waves travelling on a ferrofluid jet. The ferrofluid coats a copper wire, through which an electric current is run. The induced azimuthal magnetic field magnetises the ferrofluid, which in turn stabilises the well known Plateau–Rayleigh instability seen in axisymmetric capillary jets. This model is of interest because the stabilising mechanism allows for axisymmetric magnetohydrodynamical solitary waves. A numerical scheme capable of computing steady periodic, solitary and generalised solitary wave solutions is presented. It is found that the solution space for the model is very similar to that of the classical problem of two-dimensional gravity–capillary waves.
| Type: | Article |
|---|---|
| Title: | Travelling wave solutions on an axisymmetric ferrofluid jet |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/jfm.2019.60 |
| Publisher version: | https://doi.org/10.1017/jfm.2019.60 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10071738 |
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