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Stability problems in fluids at rest — Bénard instability

  • Peter Glansdorff
Part of the International Centre for Mechanical Sciences book series (CISM, volume 74)

Abstract

Let us consider a horizontal layer of fluid in which a temperature gradient is maintained by heating from below (the so called “adverse” temperature gradient). For sufficiently small values of this slope,heat is transmitted only by conduction. However beyond a critical value convection appears.

Keywords

Thermal Diffusivity Rayleigh Number Entropy Production Dissipative Structure Helmholtz Free Energy 
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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References

  1. [1]
    P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure Stability and Fluctuations, Wiley, Interscience, London, 1971.MATHGoogle Scholar
  2. [2]
    Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford, 1961.MATHGoogle Scholar
  3. [3]
    J.C. Legros, Thèse de doctorat, Chimie Physique, Université Libre de Bruxelles, 1971.Google Scholar

Copyright information

© Springer-Verlag Wien 1971

Authors and Affiliations

  • Peter Glansdorff
    • 1
  1. 1.Université Libre, BruxellesBelgium

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