Travelling waves in pipe flow

Details Travelling waves in pipe flow Travelling waves in pipe flow

2003-04-15

arxiv.org/abs/nlin/0304029v2

Phys. Rev. Lett. 91, 224502 (2003)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.91.224502

A family of three-dimensional travelling waves for flow through a pipe of circular cross section is identified. The travelling 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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