Self-Similar Draining near a Vertical Edge.

TitleSelf-Similar Draining near a Vertical Edge.
Publication TypeJournal Article
Year of Publication2020
AuthorsXue, N, Stone, HA
JournalPhys Rev Lett
Volume125
Issue6
Pagination064502
Date Published2020 Aug 07
ISSN1079-7114
Abstract

<p>When a liquid film drains on a vertical plate, the film becomes nonuniform near the vertical edge. Here we experimentally report the three-dimensional (3D) self-similar shape of this film. Based on the well-known 2D self-similar solution of a draining film far from the edge, we identify a new 3D self-similar scaling, which converts the partial differential equation for the film thickness with three independent variables into an ordinary differential equation. Interferometry is performed to measure the film thickness as a function of position and time, and the results are in excellent agreement with the theoretical predictions.</p>

DOI10.1103/PhysRevLett.125.064502
Alternate JournalPhys Rev Lett
PubMed ID32845698