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Walking droplets in linear channels

Boris Filoux1,*, Maxime Hubert1, Peter Schlagheck2, and Nicolas Vandewalle1,†

  • 1GRASP, Institute of Physics B5a, University of Liège, B4000 Liège, Belgium
  • 2IPNAS, Institute of Physics B15, University of Liège, B4000 Liège, Belgium

Phys. Rev. Fluids 2, 013601 – Published 12 January, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.013601

Abstract

When a droplet is placed onto a vertically vibrated bath, it can bounce without coalescing. Upon an increase of the forcing acceleration, the droplet is propelled by the wave it generates and becomes a walker with a well-defined speed. We investigate the confinement of a walker in different rectangular cavities, used as waveguides for the Faraday waves emitted by successive droplet bounces. By studying the walker velocities, we discover that one-dimensional confinement is optimal for narrow channels of width of D1.5λF. Thereby, the walker follows a quasilinear path. We also propose an analogy with waveguide models based on the observation of the Faraday instability within the channels.

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