Regensburg 2019 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 18: Fluid physics and turbulence
DY 18.3: Vortrag
Dienstag, 2. April 2019, 10:45–11:00, H20
Long-wave analysis of liquid meniscus driven by surface acoustic waves — •Kevin David Joachim Mitas1, Ofer Manor3, and Uwe Thiele1,2 — 1Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm Klemm Straße 9, D-48149 Münster, Germany — 2Center of Nonlinear Science (CeNoS), Westfälische Wilhelms-Universität Münster, Corrensstr. 2, D-48149 Münster, Germany — 3Department of Chemical Engineering. Technion - Israel Institute of Technology, Haifa 32000, Israel
The behaviour of a meniscus of a partially wetting Newtonian liquid that is transfered from a bath onto a moving plate is well studied. We study the related system of a meniscus that is driven by a Rayleigh surface acoustic wave (SAW) propagating in the plate. This Landau-Levich-type problem is modeled by a thin-film equation that combines SAW driving [1] with the standard long-wave description for partially wetting liquids [2]. In our analysis, we first analyse the occurring transitions using the numerical path-continuation package pde2path [3] to obyain bifurcation diagrams for one-dimensional steady profiles and also discuss the corresponding stationary velocity profiles. Next, we briefly discuss time-periodic states corresponding to the deposition of line patterns. Finally, we present results for two-dimensional steady profiles that emerge beyond a transversal contact line instability. [1] M. Moronov et al., Fluid Mech., 810:307–322, 2017; [2] M. Galvagno et al., Phys. Rev. Lett., 112:137803, 2014; [3] H. Uecker et al., Numer. Math. Theor. Meth. Appl., 7(1):58–106, 2014.