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Streamwise-Localized Solutions at the Onset of Turbulence in Pipe Flow
被引:110
作者:
Avila, M.
[1
]
Mellibovsky, F.
[2
]
Roland, N.
[3
]
Hof, B.
[3
,4
]
机构:
[1] Univ Erlangen Nurnberg, Inst Fluid Mech, D-91058 Erlangen, Germany
[2] Univ Politecn Cataluna, Castelldefels Sch Telecom & Aerosp Engn EETAC, Barcelona 08860, Spain
[3] Max Planck Inst Dynam & Self Org MPIDS, D-37077 Gottingen, Germany
[4] IST Austria, A-3400 Klosterneuburg, Austria
基金:
欧洲研究理事会;
关键词:
TRAVELING-WAVES;
STATE-SPACE;
TRANSITION;
BIFURCATION;
BOUNDARY;
PUFFS;
D O I:
10.1103/PhysRevLett.110.224502
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
Although the equations governing fluid flow are well known, there are no analytical expressions that describe the complexity of turbulent motion. A recent proposition is that in analogy to low dimensional chaotic systems, turbulence is organized around unstable solutions of the governing equations which provide the building blocks of the disordered dynamics. We report the discovery of periodic solutions which just like intermittent turbulence are spatially localized and show that turbulent transients arise from one such solution branch.
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