https://scholars.lib.ntu.edu.tw/handle/123456789/451828
標題: | Effect of Reynolds number on the eddy structure in a lid-driven cavity | 作者: | Chiang, T.P. Sheu, W.H. Hwang, R.R. TONY W. H. SHEU |
關鍵字: | Instabilites; Lid-driven cavity; Taylor Görtler-like vortices | 公開日期: | 1998 | 卷: | 26 | 期: | 5 | 起(迄)頁: | 557-579 | 來源出版物: | International Journal for Numerical Methods in Fluids | 摘要: | In this paper we apply a finite volume method, together with a cost-effective segregated solution algorithm, to solve for the primitive velocities and pressure in a set of incompressible Navier-Stokes equations. The well-categorized workshop problem of lid-driven cavity flow is chosen for this exercise, and results focus on the Reynolds number. Solutions are given for a depth-to-width aspect ratio of 1:1 and a span-to width aspect ratio of 3:1. Upon increasing the Reynolds number, the flows in the cavity of interest were found to comprise a transition from a strongly two-dimensional character to a truly three-dimensional flow and. subsequently, a bifurcation from a stationary flow pattern to a periodically oscillatory state. Finally, viscous (Tollmien-Schlichting) travelling wave instability further induced longitudinal vortices, which are essentially identical to Taylor-Görtler vortices. The objective of this study was to extend our understanding of the time evolution of a recirculatory flow pattern against the Reynolds number. The main goal was to distinguish the critical Reynolds number at which the presence of a spanwise velocity makes the flow pattern become three-dimensional. Secondly, we intended to learn how and at what Reynolds number the onset of instability is generated. © 1998 John Wiley & Sons, Ltd. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/451828 | ISSN: | 02712091 | DOI: | 10.1002/(SICI)1097-0363(19980315)26:5<557 | SDG/關鍵字: | Aspect ratio; Computational fluid dynamics; Finite volume method; Flow patterns; Navier Stokes equations; Reynolds number; Transition flow; Viscous flow; Eddy structure; Taylor-Gortler vortex flow; Vortex flow; cavity; eddy; instability; Reynolds number; vortex; eddies; instability; Reynolds number; vortices |
顯示於: | 工程科學及海洋工程學系 |
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