Some advances in lubrication-type theories
Chemical Engineering Dept., Université Libre de Bruxelles CP 165/67, Avenue F.D. Roosevelt 50, 1050 Bruxelles, Belgium
Corresponding author: email@example.com
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.
© EDP Sciences, Springer-Verlag, 2007