No net motion for oscillating near-spheres

ORAL

Abstract

We investigate the hydrodynamics of oscillating nearly-spherical particles -- defined by their radius $r=1+\epsilon f(\theta,\phi)$ -- at low, yet non-vanishing, Reynolds numbers. In contrast with the results of [1], we analytically demonstrate that no net motion can arise up to order one in Re and order one in the asphericity parameter $\epsilon$, regardless of the shape function $f$.
[1] F. Nadal and E. Lauga, Physics of Fluids 26(8) 082001 (2014)

*This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme under Grant Agreement 714027 (SM).

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Presenters

  • Michael Benzaquen

    • Ladhyx, Ecole polytechnique

Authors

  • KEVIN LIPPERA

    • Ladhyx, Ecole polytechnique

  • Olivier Dauchot

    • Gulliver Lab UMR 7083, CNRS
    • Gulliver lab, ESPCI Paris, CNRS
    • Gulliver, ESPCI

  • Sebastien Michelin

    • Ladhyx, Ecole polytechnique

  • Michael Benzaquen

    • Ladhyx, Ecole polytechnique