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Secondary instability in the wake of a circular cylinder. (English) Zbl 1087.76041
Summary: Secondary instability of flow past a circular cylinder is examined using highly accurate numerical methods. The critical Reynolds number for this instability is found to be $$Re_c=188.5$$. The secondary instability leads to three-dimensionality with a spanwise wavelength at onset of 4 cylinder diameters. Three-dimensional simulations show that this bifurcation is weakly subcritical.

##### MSC:
 76E09 Stability and instability of nonparallel flows in hydrodynamic stability 76D25 Wakes and jets
##### Keywords:
critical Reynolds number; bifurcation
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##### References:
 [1] DOI: 10.1017/S0022112087002234 · Zbl 0639.76041 [2] DOI: 10.1017/S0022112087002222 · Zbl 0641.76046 [3] DOI: 10.1063/1.868949 [4] DOI: 10.1063/1.866925 [5] DOI: 10.1063/1.866925 [6] DOI: 10.1017/S0022112092001617 · Zbl 0754.76043 [7] DOI: 10.1063/1.868601 [8] DOI: 10.1017/S0022112094004283 · Zbl 0813.76025
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