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Rayleigh-Bénard and Schwarzschild instability in a supercritical fluid

Abstract : Due to the density stratification, the convection onset criterion in a supercritical fluid layer heated from below includes a stabilizing effect known as the Schwarzschild criterion, which requires an adaptation of the classical low Mach number approximation. We numerically solve the mathematical model describing the motion of a supercritical fluid in the classical Rayleigh-Bénard configuration and we bring to the fore two main events: (i) the reverse transition of an unstable layer to stability without any external intervention; (ii) the convection onset according to the Schwarzschild criterion. In addition, the 3D extension of the study is briefly described.
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https://hal.archives-ouvertes.fr/hal-00836317
Contributor : Elena Rosu <>
Submitted on : Thursday, June 20, 2013 - 5:04:08 PM
Last modification on : Thursday, July 25, 2019 - 4:34:15 PM

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Gilbert Accary, Isabelle Raspo, Patrick Bontoux, Bernard Zappoli. Rayleigh-Bénard and Schwarzschild instability in a supercritical fluid. Advances in Space Research, Elsevier, 2005, 36 (1), pp.11-16. ⟨10.1016/j.asr.2005.02.082⟩. ⟨hal-00836317⟩

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