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Marangoni waves in two-layer films under the action of spatial temperature modulation

Published online by Cambridge University Press:  20 September 2016

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 nonlinear dynamics of waves generated by the deformational oscillatory Marangoni instability in a two-layer film under the action of a spatial temperature modulation on the solid substrate is considered. A system of long-wave equations governing the deformations of the upper surface and the interface between the liquids is derived. The nonlinear simulations reveal the existence of numerous dynamical regimes, including two-dimensional stationary flows and standing waves, three-dimensional standing waves with different spatial periods, and three-dimensional travelling waves. The general diagram of the flow regimes is constructed.

JFM classification

Instability: Instability Interfacial Flows (free surface): Interfacial Flows (free surface) Interfacial Flows (free surface): Thin films

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 805 , 25 October 2016 , pp. 322 - 354
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© 2016 Cambridge University Press 

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