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

TitleThree-Dimensional Self-Similarity of Coalescing Viscous Drops in the Thin-Film Regime.
Publication TypeJournal Article
Year of Publication2022
AuthorsKaneelil, PR, Pahlavan, AA, Xue, N, Stone, HA
JournalPhys Rev Lett
Volume129
Issue14
Pagination144501
Date Published2022 Sep 30
ISSN1079-7114
Abstract

<p>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.</p>

DOI10.1103/PhysRevLett.129.144501
Alternate JournalPhys Rev Lett
PubMed ID36240413