Viscocapillary lift force near a fluid interface

ORAL

Abstract

The force exerted on an object moving in a viscous fluid, and its modification induced by the presence of a nearby boundary, have been abundantly studied in fluid mechanics for the past century. In the last decades, soft gels and elastomers have been of growing interest, and have been shown to break the symmetry of nearby low-Reynolds-number flows, thus generating a force normal to the substrate. Such a lift force depends in particular on the material properties of the substrate and the intervening fluid. Here, we revisit this problem, by addressing the novel situation where the soft substrate is replaced by a fluid interface. We analyze in details the lubrication flow between a moving object and the interface. Using a combination of analytical and numerical treatments, we derive an expression of the viscocapillary lift force at leading order in compliance.

*We acknowledge financial support from the European Union through the European Re- search Council under ERC Consolidator grant n◦101039103EMetBrown. Views and opinions expressed are however those of the authors only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them. We also acknowledge financial support from the Agence Nationale de la Recherche (ANR-21- ERCC-0010-01 EMetBrown, ANR-21-CE06-0029 SOFTER, ANR-21-CE06-0039 FRICOLAS). Finally, we thank the Soft Matter Collaborative Research Unit, Frontier Research Center for Advanced Material and Life Science, Faculty of Advanced Life Science at Hokkaido University, Sapporo, Japan.

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Presenters

  • Aditya Jha

    • LOMA, UMR 5798, CNRS, University of Bordeaux, 33400 Talence

Authors

  • Aditya Jha

    • LOMA, UMR 5798, CNRS, University of Bordeaux, 33400 Talence

  • Yacine Amarouchene

    • LOMA, UMR 5798, CNRS, University of Bordeaux, 33400 Talence

  • Thomas Salez

    • Université de Bordeaux
    • LOMA, UMR 5798, CNRS, University of Bordeaux, 33400 Talence