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

  • Thibault Vieu (a1) and Clément Walter (a1)

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.

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Corresponding author

Email addresses for correspondence: thibault.vieu@u-psud.fr, clement.walter@u-psud.fr

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

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References

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

  • Thibault Vieu (a1) and Clément Walter (a1)

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