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Introduction. Models of Interfacial Convection

  • Alexander Nepomnyashchy
  • Ilya Simanovskii
  • Jean Claude Legros
Chapter
Part of the Applied Mathematical Sciences book series (AMS, volume 179)

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.

Keywords

Monte Carlo Marangoni Number Disjoin Pressure Thermocapillary Convection Hilliard Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Alexander Nepomnyashchy
    • 1
  • Ilya Simanovskii
    • 1
  • Jean Claude Legros
    • 2
  1. 1.Department of MathematicsTechnion Israel Institute of TechnologyHaifaIsrael
  2. 2.Microgravity Research Center (MRC)Universite Libre de BruxellesBruxellesBelgium

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