Abstract

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.

Original languageEnglish (US)
Article number064502
JournalPhysical review letters
Volume125
Issue number6
DOIs
StatePublished - Aug 7 2020

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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