Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Nonlinear Dynamics, Synchronizsation and Chaos

DY 43.4: Talk

Thursday, March 23, 2017, 10:15–10:30, ZEU 118

Sliding drops - from individual droplets to droplet ensembles — •Uwe Thiele, Sebastian Engelnkemper, Markus Wilczek, Walter Tewes, and Svetlana V. Gurevich — Institut für Theoretische Physik, Westfälische Wilhelms-Universität, Wilhelm-Klemm Str. 9, 48149 Münster

We study the dynamics of liquid drops on a solid inclined substrate [1] individually and in large ensembles employing a long-wave time evolution equation for partially wetting liquids. First, we discuss bifurcation diagrams that show how an individual sliding drop undergoes various transformations (e.g., a pearling instability) in dependence of driving force or volume. The resulting pearling states show a period-doubling route to chaos [2]. Second, we conduct large-scale numerical simulations and analyse the coarsening behaviour of drop ensembles. Ongoing merging and pearling results in a stationary distribution of drop sizes. We illustrate that aspects of this distribution may be deduced from the single-drop bifurcation diagrams. Finally, we construct a statistical model for the time evolution of the drop size distribution and show that it captures the main features of the full scale simulations.

[1] T. Podgorski, J.-M. Flesselles and L. Limat, Phys. Rev. Lett. 87, 036102 (2001). [2] S. Engelnkemper, M. Wilczek, S. V. Gurevich and U. Thiele, Phys. Rev. Fluids 1, 073901 (2016).