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The influence of two-dimensional temperature modulation on nonlinear Marangoni waves in two-layer films

Published online by Cambridge University Press:  11 May 2018

Alexander A. Nepomnyashchy  and
Ilya B. Simanovskii Open the ORCID record for Ilya B. Simanovskii [Opens in a new window]
Alexander A. Nepomnyashchy
Affiliation:
Department of Mathematics, 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: cesima@technion.ac.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 two-dimensional 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 presented. The long-wave approach is applied. The nonlinear simulations reveal the existence of different dynamic regimes, including stationary, time-periodic and quasi-periodic flows. The general diagrams of the flow regimes are constructed.

JFM classification

Instability: Instability Interfacial Flows (free surface): Interfacial Flows (free surface) Interfacial Flows (free surface): Thin films
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 846 , 10 July 2018 , pp. 944 - 965
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Copyright
© 2018 Cambridge University Press 

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