English

How a leak can stop itself

Fluid Dynamics 2025-01-22 v2 Soft Condensed Matter

Abstract

Small fluid leaks are common and frequently troublesome. We often consider how to stop a leak, but here we ask a different question: how might a leak stop itself? We experimentally study leaking flow transitions from continuous drainage to spontaneous arrest. High-speed imaging reveals that fluid breakup events generate droplets whose Laplace pressures oppose the leak. Early droplets grow unstably, allowing the leak to continue, but ultimately a final capping droplet equilibrates to a stable spherical cap via lightly damped harmonic oscillations. A total energetic theory incorporating both the potential and kinetic energy of attempted capping droplets shows that inertia plays a key role in the leak-stop mechanism. Further experiments examining the stability of rivulet flow in such a system demonstrate that a transition from continuous to discrete flow is an essential prerequisite in determining when a leak can stop itself.

Keywords

Cite

@article{arxiv.2202.02644,
  title  = {How a leak can stop itself},
  author = {Caroline D. Tally and Heather E. Kurtz and Rose B. Tchuenkam and Justyn M. Friedler and Katharine E. Jensen},
  journal= {arXiv preprint arXiv:2202.02644},
  year   = {2025}
}

Comments

10 pages, 5 figures

R2 v1 2026-06-24T09:22:04.382Z