Journal
JOURNAL OF FLUID MECHANICS
Volume 811, Issue -, Pages 51-66Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2016.750
Keywords
drops; Faraday waves; waves/free-surface flows
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Couder et at. (Nature, vol. 437 (7056), 2005, p. 208) discovered that droplets walking on a vibrating bath possess certain features previously thought to be exclusive to quantum systems. These millimetric droplets synchronize with their Faraday wavefield, creating a macroscopic pilot-wave system. In this paper we exploit the fact that the waves generated are nearly monochromatic and propose a hydrodynamic model capable of quantitatively capturing the interaction between bouncing drops and a variable topography. We show that our reduced model is able to reproduce some important experiments involving the drop topography interaction, such as non-specular reflection and single-slit diffraction.
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