A fractal classification of the drainage dynamics in thin liquid films

R. Tsekov; E. Evstatieva

doi:10.1007/b93984

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arXiv · 1506.04479

A fractal classification of the drainage dynamics in thin liquid films

R. Tsekov·E. Evstatieva

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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.

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R. Tsekov, E. Evstatieva. 2015-06-15. A fractal classification of the drainage dynamics in thin liquid films. https://doi.org/10.1007/b93984

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