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A model for Faraday pilot waves over variable topography

Published online by Cambridge University Press:  06 December 2016

Luiz M. Faria
Luiz M. Faria*
Affiliation:
Department of Mathematics, Massachusets Institute of Technology, Cambridge, MA 02139, USA
*
†Email address for correspondence: lfaria@mit.edu
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Abstract

Couder et al. (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.

JFM classification

Drops and Bubbles: Drops Waves/Free-surface Flows: Faraday waves Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 811 , 25 January 2017 , pp. 51 - 66
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Copyright
© 2016 Cambridge University Press 

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