PREDICTION OF UNSTEADY STATES IN LID-DRIVEN CAVITIES FILLED WITH AN INCOMPRESSIBLE VISCOUS FLUID

Fayçal Hammami, Nader Ben-Cheikh (), Antonio Campo, Brahim Ben-Beya and Taieb Lili
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Fayçal Hammami: Département de Physique, Faculté des Sciences de Tunis, Campus Universitaire, 2092 El-Manar II, Tunisia
Nader Ben-Cheikh: Département de Physique, Faculté des Sciences de Tunis, Campus Universitaire, 2092 El-Manar II, Tunisia
Antonio Campo: Department of Mechanical Engineering, The University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249, USA
Brahim Ben-Beya: Département de Physique, Faculté des Sciences de Tunis, Campus Universitaire, 2092 El-Manar II, Tunisia
Taieb Lili: Département de Physique, Faculté des Sciences de Tunis, Campus Universitaire, 2092 El-Manar II, Tunisia

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 04, 1-13

Abstract: In this work, a numerical study devoted to the two-dimensional and three-dimensional flow of a viscous, incompressible fluid inside a lid-driven cavity is undertaking. All transport equations are solved using the finite volume formulation on a staggered grid system and multi-grid acceleration. Quantitative aspects of two and three-dimensional flows in a lid-driven cavity for Reynolds numberRe= 1000show good agreement with benchmark results.An analysis of the flow evolution demonstrates that, with increments in Re beyond a certain critical value Rec, the steady flow becomes unstable and bifurcates into unsteady flow. It is observed that the transition from steadiness to unsteadiness follows the classical Hopf bifurcation. The time-dependent velocity distribution is studied in detail and the critical Reynolds number is localized for both 2D and 3D cases.Benchmark solutions for 2D and 3D lid-driven cavity flows are performed forRe= 1500and 6000.

Keywords: Three-dimensional; lid-driven cavity; critical Reynolds number (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0129183112500301

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