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Experiments on the transition to three‐dimensional flow structures in two‐sided lid‐driven cavities
Author(s) -
SiegmannHegerfeld T.,
Albensoeder S.,
Kuhlmann H. C.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700056
Subject(s) - reynolds number , flow (mathematics) , flow visualization , hele shaw flow , mechanics , antiparallel (mathematics) , physics , stability (learning theory) , mathematics , materials science , open channel flow , turbulence , computer science , quantum mechanics , machine learning , magnetic field
Flow instabilities in two‐sided lid‐driven cavities are studied experimentally. The transition of the nearly two‐dimensional flow to steady or time‐dependent three‐dimensional flow structures is investigated for one‐sided, for parallel, and for antiparallel motion of the driving walls and for two aspect ratios, Γ = 0.76 and Γ = 1. Stability diagrams are obtained by flow visualization. Six different three‐dimensional flow patterns have been characterized, each corresponding to a particular critical mode of a linear‐stability analysis. The structures of the near‐critical flows and the critical curves are in good agreement with the corresponding numerical predictions. In a few cases, however, the critical Reynolds numbers deviate form the numerical results. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)