期刊
PHYSICAL REVIEW LETTERS
卷 91, 期 22, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.91.224502
关键词
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A family of three-dimensional traveling waves for flow through a pipe of circular cross section is identified. The traveling waves are dominated by pairs of downstream vortices and streaks. They originate in saddle-node bifurcations at Reynolds numbers as low as 1250. All states are immediately unstable. Their dynamical significance is that they provide a skeleton for the formation of a chaotic saddle that can explain the intermittent transition to turbulence and the sensitive dependence on initial conditions in this shear flow.
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