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Flow transition of a low Prandtl number fluid in an inclined three-dimensional cavity

Abstract : We present a numerical and theoretical investigation on the natural convection of a low Prandtl number fluid (Pr = 0.025) in 2D and 3D side-heated enclosures tilted a = 80° with respect to the vertical position. The choice of this inclination angle comes from a previous linear stability analysis of the basic (plane-parallel) flow that predicts the same critical Ra for longitudinal oscillatory and stationary transversal modes. In both the 2D and 3D enclosures the first transition gradually leads to a transversal stationary centered shear roll. In the 2D geometry the flow becomes time-dependent and multicellular (3 rolls) at the onset of a Hopf bifurcation, followed by subsequent period-doubling. On the other hand, in the 3D enclosure, the onset of oscillations is due to a fully three-dimensional standing wave composed of three counter-rotating longitudinal rolls
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https://hal.archives-ouvertes.fr/hal-00835759
Contributor : Elena Rosu <>
Submitted on : Wednesday, June 19, 2013 - 3:54:53 PM
Last modification on : Thursday, January 18, 2018 - 2:27:49 AM

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  • HAL Id : hal-00835759, version 1

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Rafael Delgado-Buscalioni, E. Crespo del Arco, Patrick Bontoux. Flow transition of a low Prandtl number fluid in an inclined three-dimensional cavity. European Journal of Mechanics - B/Fluids, Elsevier, 2001, 20 (5), pp.657-672. ⟨hal-00835759⟩

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