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Stability of Flows

  • 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 stability of convective flows in multilayer systems is considered. First, we will discuss general mechanisms of instabilities for flows generated by a surface-tension gradient applied along the surface (Section 5.1). Then, we present a linear analysis of thermocapillary flows in two-layer systems subject to an inclined temperature gradient (Section 5.2). Results of the investigation of buoyancy-thermocapillary convection in two-layer and three-layer systems are given in Sections 5.3 and 5.4, respectively. Section 5.5 contains an analysis of deformational instabilities of thermocapillary flows in three-layer systems.

Keywords

Marangoni Number Thermocapillary Convection Computational Region Neutral Curve Closed Cavity 
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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