Comptes Rendus
Three-dimensional incompressible flow in a two-sided non-facing lid-driven cubical cavity
Comptes Rendus. Mécanique, Volume 336 (2008) no. 11-12, pp. 863-872.

Numerical simulations of the three-dimensional fluid flow in a two-sided non-facing lid-driven cubical cavity are presented. Computations have been carried out for several Reynolds numbers from a low value to 700. At low Reynolds numbers the flow is steady. The three dimensional flow characteristics are analyzed at Re=500. An analysis of the flow evolution shows that, when increasing Re beyond a certain critical value the flow becomes unstable and bifurcates. It is observed that the transition to unsteadiness follows the classical scheme of a Hopf bifurcation. The time dependent solution is studied and the critical Reynolds number is localized.

Nous présentons dans cette Note une étude numérique de l'écoulement tridimensionnel de fluide dans une cavité cubique doublement entrainée par des faces adjacentes. Les calculs ont été menés à plusieurs valeurs du nombre de Reynolds depuis des valeurs faibles jusqu'à 700. A faible nombre de Reynolds l'écoulement est stationnaire. Les caractéristiques de l'écoulement tridimensionnel ont été analysées à un nombre de Reynolds Re=500. L'analyse de l'évolution de l'écoulement montre qu'avec l'augmentation du Re au-delà d'une certaine valeur critique l'écoulement devient instable et subit une bifurcation. Il a été observé que la transition vers l'instationnarité s'effectue par une bifurcation de Hopf. Le nombre de Reynolds critique au-delà duquel l'écoulement devient instationnaire est déterminé.

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DOI: 10.1016/j.crme.2008.10.004
Keywords: Fluid mechanics, Incompressible flow, 3D lid-driven cavity, Bifurcation
Mots-clés : Mécanique des fluids, Fluide incompressible, Cavité entrainée 3D, Bifurcation

Brahim Ben Beya 1; Taieb Lili 1

1 Laboratoire de mécanique des fluides, faculté des sciences de Tunis, département de physique, 2092 El Manar 2, Tunis, Tunisia
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Brahim Ben Beya; Taieb Lili. Three-dimensional incompressible flow in a two-sided non-facing lid-driven cubical cavity. Comptes Rendus. Mécanique, Volume 336 (2008) no. 11-12, pp. 863-872. doi : 10.1016/j.crme.2008.10.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.10.004/

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