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Introduction. Models of Interfacial Convection

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Interfacial Convection in Multilayer Systems

Part of the book series: Applied Mathematical Sciences ((AMS,volume 179))

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Abstract

In the present chapter, the models used for the description of interfacial convection on different scales are discussed. We start with the consideration of classical large-scale models based on the sharp-interface approach and macroscopic conservation laws. The main physical mechanisms that produce interfacial convection, the dependence of fluid density and surface tension on temperature, and the composition of the fluid are considered. Then we introduce the models for the description of ultrathin-film dynamics, which are based on lubrication approximation and incorporate intermolecular forces. Also, some mesoscopic models are presented. In conclusion, we briefly describe microscopic approaches used for modeling interfacial phenomena.

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Correspondence to Alexander Nepomnyashchy .

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© 2012 Springer Science+Business Media, LLC

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Nepomnyashchy, A., Simanovskii, I., Legros, J.C. (2012). Introduction. Models of Interfacial Convection. In: Interfacial Convection in Multilayer Systems. Applied Mathematical Sciences, vol 179. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-87714-3_1

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