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Published in:
2017 | OriginalPaper | Chapter
2. Convection in Cylindrical Cavities
Authors : Sergey Shklyaev, Alexander Nepomnyashchy
Published in: Longwave Instabilities and Patterns in Fluids
Publisher: Springer New York
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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 [1‐6]. 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).