English

Shaping liquid drops by vibration

Pattern Formation and Solitons 2018-05-09 v1

Abstract

We present and analyze a minimal hydrodynamic model of a vertically vibrated liquid drop that undergoes dynamic shape transformations. In agreement with experiments, a circular lens-shaped drop is unstable above a critical vibration amplitude, spontaneously elongating in horizontal direction. Smaller drops elongate into localized states that oscillate with half of the vibration frequency. Larger drops evolve by transforming into a snake-like structure with gradually increasing length. The worm state is long-lasting with a potential to fragmentat into smaller drops.

Keywords

Cite

@article{arxiv.1708.06491,
  title  = {Shaping liquid drops by vibration},
  author = {Andrey Pototsky and Michael Bestehorn},
  journal= {arXiv preprint arXiv:1708.06491},
  year   = {2018}
}
R2 v1 2026-06-22T21:20:12.196Z