Title | Self-Similar Draining near a Vertical Edge. |
Publication Type | Journal Article |
Year of Publication | 2020 |
Authors | Xue, N, Stone, HA |
Journal | Phys Rev Lett |
Volume | 125 |
Issue | 6 |
Pagination | 064502 |
Date Published | 2020 Aug 07 |
ISSN | 1079-7114 |
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> |
DOI | 10.1103/PhysRevLett.125.064502 |
Alternate Journal | Phys Rev Lett |
PubMed ID | 32845698 |