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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 50: Wetting, Nano- and Microfluidics I (joint session CPP/DY, organized by CPP)

CPP 50.8: Talk

Thursday, March 10, 2016, 11:45–12:00, H42

Sliding Drops - stationary states and large-scale dynamics — •Sebastian Engelnkemper, Markus Wilczek, Svetlana Gurevich, and Uwe Thiele — Institut für Theoretische Physik, Westfälische Wilhelms Universität Münster, Corrensstr. 2, 48149 Münster

The long-wave evolution equation for a liquid film (or Thin-Film-Equation) describes structures including drops and ridges. Including a lateral driving force (e.g., inclined substrate) all structures begin to move and change their shapes. Experiments show this and, in addition, a further instability where large drops emit small satellite drops [1]. Implementing the Thin-Film-Equation in the continuation-toolbox PDE2PATH [2], we analyze the primary bifurcations from a flat film in the case without driving using the mean film height as bifurcation parameter. Then, with lateral driving forces we track sliding drops in dependence of either drop volume or substrate inclination. We analyze the shape changes and compare them to previous 1d results [3]. Finally, we focus on the bifurcation that is responsible for the satellite drops and relate the results of continuation to direct numerical simulations for single drops and ensembles of many drops. [1] T. Podgorski, J.-M. Flesselles, L. Limat, Phys. Rev. Lett. 87, 036102 (2001); [2] H. Uecker, D. Wetzel, J.D.M. Rademacher, arXiv:1208.3112v2 (2012); [3] U. Thiele et al., Phys. Rev. E, 64, 061601 (2001).