Journal
JOURNAL OF FLUID MECHANICS
Volume 726, Issue -, Pages 476-496Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2013.234
Keywords
interfacial flows (free surface); marangoni convection; thin films
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Funding
- European Union [PITN-GA-2008-214919]
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The influence of time-periodic vibrations on long Marangoni waves in two-layer films is investigated. The problem is governed by a system of nonlinear equations obtained in the framework of the lubrication approximation. Periodic boundary conditions are applied on the boundaries of the computational region. The development of instabilities is investigated by means of nonlinear simulations. Excitation of two-dimensional and three-dimensional subharmonic wavy regimes is studied. A new phenomenon, the excitation of nonlinear waves with a temporal period that is four times larger than that of the gravity modulation, is revealed.
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