The wave-induced added mass of walking droplets

John W.M. Bush, Anand U. Oza, Jan Moláček

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

It has recently been demonstrated that droplets walking on a vibrating fluid bath exhibit several features previously thought to be peculiar to the microscopic realm. The walker, consisting of a droplet plus its guiding wavefield, is a spatially extended object. We here examine the dependence of the walker mass and momentum on its velocity. Doing so indicates that, when the walker's time scale of acceleration is long relative to the wave decay time, its dynamics may be described in terms of the mechanics of a particle with a speed-dependent mass and a nonlinear drag force that drives it towards a fixed speed. Drawing an analogy with relativistic mechanics, we define a hydrodynamic boost factor for the walkers. This perspective provides a new rationale for the anomalous orbital radii reported in recent studies.

Original languageEnglish (US)
Pages (from-to)R7
JournalJournal of Fluid Mechanics
Volume755
DOIs
StatePublished - Sep 25 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • Faraday waves
  • drops
  • waves/free-surface flows

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