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The influence of vibration on Marangoni waves in two-layer films

Published online by Cambridge University Press:  10 June 2013

Alexander A. Nepomnyashchy  and
Ilya B. Simanovskii
Alexander A. Nepomnyashchy
Affiliation:
Department of Mathematics, Technion – Israel Institute of Technology, 32000, Haifa, Israel Minerva Center for Nonlinear Physics of Complex Systems, Technion – Israel Institute of Technology, 32000, Haifa, Israel
Ilya B. Simanovskii*
Affiliation:
Department of Mathematics, Technion – Israel Institute of Technology, 32000, Haifa, Israel
*
†Email address for correspondence: yuri11@inter.net.il
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Abstract

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.

JFM classification

Interfacial Flows (free surface): Interfacial Flows (free surface) Convection: Marangoni convection Interfacial Flows (free surface): Thin films
Type
Papers
Information
Journal of Fluid Mechanics , Volume 726 , 10 July 2013 , pp. 476 - 496
Copyright
©2013 Cambridge University Press 

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