Convection in Cylindrical Cavities

  • Sergey Shklyaev
  • Alexander Nepomnyashchy
Chapter
First Online:
Part of the Advances in Mathematical Fluid Mechanics book series (AMFM)

Abstract

The thermal convection in a viscous fluid heated from below, which provides a classical example of the pattern formation in a nonequilibrium system, is a subject of several monographs [1, 2, 3, 4, 5, 6]. In contrast to the cited books, we focus on the specific features of large-scale convective motions produced by long-wavelength instabilities of the conductive state. There are two main physical origins of convection instabilities: the buoyancy force due to an inhomogeneous density distribution in a gravity field (buoyancy or Rayleigh convection) and the thermocapillary effect caused by the dependence of the surface tension on temperature (surface tension driven or Marangoni convection).

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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  • Sergey Shklyaev
    • 1
  • Alexander Nepomnyashchy
    • 2
  1. 1.Institute of Continuous Media MechanicsUB RASPermRussia
  2. 2.Technion, Department of MathematicsHaifaIsrael

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