Journal
PHYSICS OF FLUIDS
Volume 22, Issue 9, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3487476
Keywords
bifurcation; confined flow; flow instability; fluid oscillations; pattern formation
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Funding
- Ministry of Science and Technology, Israel [3-4293, 3-5689]
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A series of time-dependent three-dimensional (3D) computations of a lid-driven flow in a cube with no-slip boundaries is performed to find the critical Reynolds number corresponding to the steady-oscillatory transition. The computations are done in a fully coupled pressure-velocity formulation on 104(3), 152(3), and 200(3) stretched grids. Grid-independence of the results is established. It is found that the oscillatory instability of the flow sets in via a subcritical symmetry-breaking Hopf bifurcation at Re(cr)approximate to 1914 with the nondimensional frequency omega=0.575. Three-dimensional patterns in the steady and oscillatory flow regimes are compared with the previously studied two-dimensional configuration and a three-dimensional model with periodic boundary conditions imposed in the spanwise direction. (C) 2010 American Institute of Physics. [doi:10.1063/1.3487476]
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