Abstract.
Lubrication-type theories have turned out to be useful in a wide range of scales, being applied to study the dynamics of liquid films of thicknesses ranging between the millimeter and the nanometer. As they moreover allow a deep physical understanding, and are in some cases amenable to analytical treatment, they provide a powerful tool for studying the transition between regimes affected (or even dominated) by inertia, and regimes dominated by contact forces with a solid, for instance. In this paper, recent results of the authors are presented, focusing on thin liquid films flowing down inclines, ultra-thin films of complex fluids featuring density variations, and evaporating contact lines.
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Colinet, P., Kaya, H., Rossomme, S. et al. Some advances in lubrication-type theories. Eur. Phys. J. Spec. Top. 146, 377–389 (2007). https://doi.org/10.1140/epjst/e2007-00194-7
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DOI: https://doi.org/10.1140/epjst/e2007-00194-7