Dresden 2014 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 37: Fluid Dynamics and Turbulence
DY 37.1: Vortrag
Donnerstag, 3. April 2014, 15:00–15:15, ZEU 146
Dynamic emptying and dynamic wetting transitions in dragged meniscus problems — •Uwe Thiele1,2, Mariano Galvagno1, Hender Lopez3, and Dmitri Tseluiko1 — 1Department of Mathematical Sciences, Loughborough University, UK — 2Institut für Theoretische Physik, Universität Münster, Germany — 3School of Physics, University College Dublin, Ireland
We study the transfer of a non-volatile liquid from a bath onto a flat plate that is drawn out of the bath. After reviewing previous works [1,2] we use a long-wave mesoscopic hydrodynamic model that incorporates wettability via a Derjaguin (disjoining) pressure to analyse steady meniscus profiles as the plate velocity is changed. We identify four qualitatively different dynamic transitions between microscopic and macroscopic coatings that are out-of-equilibrium equivalents of equilibrium unbinding transitions, namely, continuous and discontinuous dynamic emptying transitions and discontinuous and continuous dynamic wetting transitions [3]. We discuss several features that have no equivalent at equilibrium, e.g., we show that the change from the continuous to the discontinuous dynamic emptying transition involves the emergence of exponential snaking caused by the existence of infinitely many heteroclinic orbits close to a heteroclinic chain in an appropriate 3d phase space [4].
[1] A. O. Parry et al., Phys. Rev. Lett. 108:246101, 2012; [2] J. Ziegler, J. H. Snoeijer, J. Eggers. Eur. Phys. J.-Spec. Top. 166:177-180, 2009; [3] M. Galvagno et al., arxiv.org/abs/1311.6994; [4] M. Galvagno, D. Tseluiko, U. Thiele, arxiv.org/abs/1307.4618