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Shape and fission instabilities of ferrofluids in non-uniform magnetic fields

Published online by Cambridge University Press:  13 February 2018

Thibault Vieu Open the ORCID record for Thibault Vieu [Opens in a new window]  and
Clément Walter
Thibault Vieu*
Affiliation:
Magistère de Physique Fondamentale, Université Paris-Saclay, Bât. 470, F-91405 Orsay, France
Clément Walter*
Affiliation:
Magistère de Physique Fondamentale, Université Paris-Saclay, Bât. 470, F-91405 Orsay, France
*
†Email addresses for correspondence: [email protected], [email protected]
†Email addresses for correspondence: [email protected], [email protected]
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Abstract

We study static distributions of ferrofluid submitted to non-uniform magnetic fields. We show how the normal-field instability is modified in the presence of a weak magnetic field gradient. Then we consider a ferrofluid droplet and show how the gradient affects its shape. A rich phase transition phenomenology is found. We also investigate the creation of droplets by successive splits when a magnet is vertically approached from below and derive theoretical expressions which are solved numerically to obtain the number of droplets and their aspect ratio as a function of the field configuration. A quantitative comparison is performed with previous experimental results, as well as with our own experiments, and yields good agreement with the theoretical modelling.

JFM classification

Drops and Bubbles: Drops MHD and Electrohydrodynamics: Magnetic fluids Phase change: Morphological instability
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 840 , 10 April 2018 , pp. 455 - 497
Copyright
© 2018 Cambridge University Press 

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Footnotes

‡

T.V. and C.W. have equally contributed to this work.

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