4.7 Article

The water entry of multi-droplet streams and jets

Journal

JOURNAL OF FLUID MECHANICS
Volume 844, Issue -, Pages 1084-1111

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2018.204

Keywords

drops and bubbles; interfacial flows (free surface); jets

Funding

  1. Office of Naval Research, Navy Undersea Research Program [N0001414WX00811]
  2. Naval Undersea Warfare Center In-House Laboratory Independent Research Program
  3. Utah State University Research and Graduate Studies Development Grant Program

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Water entry has been studied for over a century, but few studies have focused on multiple droplets impacting on a liquid bath sequentially. We connect multi-droplet streams, jets and solid objects with physical-based scaling arguments that emphasize the intrinsically similar cavities. In particular, the cavities created by the initial impact of both droplet streams and jets on an initially quiescent liquid pool exhibit the same types of cavity seal as hydrophobic spheres at low Bond number, some of which were previously unseen for jets and droplet streams. Low-frequency droplet streams exhibit an additional three new cavity seal types unseen for jets or solid spheres that can be predicted with a new non-dimensional frequency. The cavity depth and cavity velocity for both droplet and jet impact are rationalized by an energy scaling analysis and the Bernoulli equation.

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