Three-Dimensional Self-Similarity of Coalescing Viscous Drops in the Thin-Film Regime

Paul R. Kaneelil, Amir A. Pahlavan, Nan Xue, Howard A. Stone

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Coalescence and breakup of drops are classic problems in fluid physics that often involve self-similarity and singularity formation. While the coalescence of suspended drops is axisymmetric, the coalescence of drops on a substrate is inherently three-dimensional. Yet, studies so far have only considered this problem in two dimensions. In this Letter, we use interferometry to reveal the three-dimensional shape of the interface as two drops coalescence on a substrate. We unify the known scaling laws in this problem within the thin-film approximation and find a three-dimensional self-similarity that enables us to describe the anisotropic shape of the dynamic interface with a universal curve.

Original languageEnglish (US)
Article number144501
JournalPhysical review letters
Issue number14
StatePublished - Sep 30 2022

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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