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Abstract: Dynamics of a thin dewetting liquid film on a vertically oscillatingsubstrate is considered. We assume moderate vibration frequency and largecompared to the mean film thickness vibration amplitude. Using thelubrication approximation and the averaging method, we formulate the coupledsets of equations governing the pulsatile and the averaged fluid flows in thefilm, and then derive the nonlinear amplitude equation for the averaged filmthickness. We show that there exists a window in the frequency-amplitude domainwhere the parametric and shear-flow instabilities of the pulsatile flow do notemerge. As a consequence, in this window the averaged description is reasonableand the amplitude equation holds. The linear and nonlinear analyses of theamplitude equation and the numerical computations show that such vibrationstabilizes the film against dewetting and rupture.



Autor: S. Shklyaev, M. Khenner, A. A. Alabuzhev

Fuente: https://arxiv.org/







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