Dresden 2009 – scientific programme
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SYSO: Symposium Self-organizing Surfaces and Interfaces
SYSO 3: Self-Organizing Surfaces and Interfaces - Posters
SYSO 3.4: Poster
Wednesday, March 25, 2009, 17:30–19:30, P3
Dynamics of a drop on oscillated substrate: the role of contact line hysteresis — •Irina S. Fayzrakhmanova1 and Arthur V. Straube2 — 1Department of Theoretical Physics, Perm State University, Bukirev 15, 614990 Perm, Russia — 2Department of Theoretical Physics, TU Berlin, Hardenbergstr. 36, 10623 Berlin, Germany
The dynamics of a drop sitting on the transversally oscillated substrate is under theoretical consideration. We aim at understanding the impact of the contact angle hysteresis, which is described by means of the dynamic boundary condition suggested by Hocking [1]: the contact line starts to move only when the deviation of the contact angle exceeds a certain critical value. As a result, the system is able to demonstrate stick-slip motion. Because of the dissipation at the contact line, the regime with steady nonlinear oscillations with the frequency of external driving (or in other words the limit cycle) is reached. By comparing the results with the non-hysteretic situation, we figure out how the hysteresis affects the dynamics. Particularly, we analyze the amplitude dependencies on governing parameters and obtain resonance conditions.
[1] L.M. Hocking, Waves produced by a vertically oscillating plate, J. Fluid Mech. 179, 267 (1987).