Abstract

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. To cite this article: B. Ben Beya, T. Lili, C. R. Mecanique 336 (2008).

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