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Bénard-Marangoni instability in a viscoelastic ferrofluid

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Abstract

In this paper we report theoretical and numerical results on convection of a magnetic fluid in a viscoelastic carrier liquid. The viscoelastic properties are given by the Oldroyd model. We impose the lower interface to be rigid, whereas the upper one is free and is assumed to be non-deformable and flat. Also, at the upper interface the surface tension is taken to vary linearly with the temperature. Using a spectral method we calculate numerically the convective thresholds for both stationary and oscillatory bifurcations. The effect of the viscoelasticity and the Kelvin force on the instability thresholds are emphasized.

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Authors and Affiliations

  1. Max-Planck-Institute for Polymer Research, 55021, Mainz, Germany

    David Laroze & Harald Pleiner

  2. Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile

    David Laroze

  3. Instituto de Física, P. Universidad Católica de Valparaiso, Casilla 4059, Valparaiso, Chile

    Javier Martinez-Mardones

Authors
  1. David Laroze
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  2. Javier Martinez-Mardones
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  3. Harald Pleiner
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Correspondence to David Laroze.

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Laroze, D., Martinez-Mardones, J. & Pleiner, H. Bénard-Marangoni instability in a viscoelastic ferrofluid. Eur. Phys. J. Spec. Top. 219, 71–80 (2013). https://doi.org/10.1140/epjst/e2013-01782-6

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  • DOI: https://doi.org/10.1140/epjst/e2013-01782-6

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