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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
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[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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