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The Two‐Sided Lid‐Driven Cavity: Aspect‐Ratio Dependence of the Flow Stability
Author(s) -
Blohm C.,
Albensoeder S.,
Kuhlmann H. C.,
Broda M.,
Rath H. J.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200108115163
Subject(s) - reynolds number , aspect ratio (aeronautics) , mechanics , instability , flow (mathematics) , stability (learning theory) , motion (physics) , physics , function (biology) , hydrodynamic stability , materials science , mathematics , classical mechanics , computer science , turbulence , machine learning , evolutionary biology , biology , optoelectronics
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.