Article

The Two‐Sided Lid‐Driven Cavity: Aspect‐Ratio Dependence of the Flow Stability

ZARM-University of Bremen, Am Fallturm, 28359 Bremen, Germany
ZAMM Journal of applied mathematics and mechanics: Zeitschrift für angewandte Mathematik und Mechanik (impact factor: 0.86). 03/2011; 81(S3):781 - 782. DOI:10.1002/zamm.200108115163 pp.781 - 782

ABSTRACT The transition from two-dimensional (2D) steady to three-dimensional (3D) flow is investigated experimentally in a two-sided lid-driven cavity for anti-parallel motion of two facing walls. Both wall speeds (Reynolds numbers) have the same absolute value. We present critical Reynolds numbers at the onset of steady three-dimensional flow as a function of the cross-sectional aspect ratio. The critical curve is composed of different neutral branches belonging to different instability modes. Comparison with numerical results enables insight into the corresponding mechanisms.

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Keywords

anti-parallel motion
 
cross-sectional aspect ratio
 
different instability modes
 
different neutral branches
 
Reynolds numbers
 
steady three-dimensional flow
 
two-dimensional
 
two-sided lid-driven cavity
 
wall speeds
 
walls
 

C. Blohm