@article{3925, author = {Nan Xue and Howard Stone}, title = {Self-Similar Draining near a Vertical Edge.}, 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.

}, year = {2020}, journal = {Phys Rev Lett}, volume = {125}, pages = {064502}, month = {2020 Aug 07}, issn = {1079-7114}, doi = {10.1103/PhysRevLett.125.064502}, language = {eng}, }