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Stick-slip dynamics of an oscillated sessile drop

Phys. Fluids 21, 072104 (2009); doi:10.1063/1.3174446

Published 10 July 2009

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Irina S. Fayzrakhmanova1,2 and Arthur V. Straube3,2
1Department of Theoretical Physics, Perm State University, Bukirev 15, Perm 614990, Russia and Institute of Continuous Media Mechanics UB RAS, Korolev 1, 614013 Perm, Russia
2Department of Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24/25, D-14476 Potsdam-Golm, Germany
3Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany
We consider theoretically the dynamics of an oscillated sessile drop of incompressible liquid and focus on the contact line hysteresis. We address the situation of the small-amplitude and high-frequency oscillations imposed normally to the substrate surface. We deal with the drop whose equilibrium surface is hemispherical and the equilibrium contact angle equals pi/2. We apply the dynamic boundary condition that involves an ambiguous dependence of the contact angle on the contact line velocity: The contact line starts to slide only when the deviation of the contact angle exceeds a certain critical value. As a result, the stick-slip dynamics can be observed. The frequency response of surface oscillations on the substrate and at the pole of the drop are analyzed. It is shown that novel features such as the emergence of antiresonant frequency bands and nontrivial competition of different resonances are caused by contact line hysteresis. ©2009 American Institute of Physics
History: Received 25 March 2009; accepted 9 June 2009; published 10 July 2009
Permalink: http://link.aip.org/link/?PHFLE6/21/072104/1
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1070-6631 (print)   1089-7666 (online)
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