A fractal classification of the drainage dynamics in thin liquid films
Soft Condensed Matter
2015-06-17 v2 Mesoscale and Nanoscale Physics
Fluid Dynamics
Abstract
It is demonstrated that the dynamic structure is very important for the rate of drainage of a thin liquid film and it can be effectively taken into account by a dynamic fractal dimension. It is shown that the latter is a powerful tool for description of the film drainage and classifies all the known results from the literature. The obtained general expression for the thinning rate is a heuristic one and predicts variety of drainage models, which are even difficult to simulate in practice. It is a typical example of a scaling law, which explains the origin of the complicate dependence of the thinning rate on the film radius.
Keywords
Cite
@article{arxiv.1506.04479,
title = {A fractal classification of the drainage dynamics in thin liquid films},
author = {R. Tsekov and E. Evstatieva},
journal= {arXiv preprint arXiv:1506.04479},
year = {2015}
}