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An adaptation of the low Mach number approximation for supercritical fluid buoyant flows

Abstract : This Note describes an acoustic filtering of the equations governing the supercritical fluid buoyant flow driven by a weak heating. The resulting low Mach number approximation takes into account the compressibility of the fluid with respect to the hydrostatic pressure. Using the direct numerical simulation of a supercritical fluid flow in the Rayleigh-Bénard configuration, we show that the density stratification may be taken into account without further numerical effort and is fundamental for the prediction of the convective instability threshold induced by a weak heating.
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https://hal.archives-ouvertes.fr/hal-00836294
Contributor : Elena Rosu <>
Submitted on : Thursday, June 20, 2013 - 4:48:13 PM
Last modification on : Thursday, July 25, 2019 - 4:34:15 PM

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Gilbert Accary, Isabelle Raspo, Patrick Bontoux, Bernard Zappoli. An adaptation of the low Mach number approximation for supercritical fluid buoyant flows. Comptes Rendus Mécanique, Elsevier Masson, 2005, 333 (5), pp.397-404. ⟨10.1016/j.crme.2005.03.004⟩. ⟨hal-00836294⟩

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