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.
引用
收藏
页数:4
相关论文
共 45 条
[1]   The Onset of Turbulence in Pipe Flow [J].
Avila, Kerstin ;
Moxey, David ;
de Lozar, Alberto ;
Avila, Marc ;
Barkley, Dwight ;
Hof, Bjorn .
SCIENCE, 2011, 333 (6039) :192-196
[2]   On the transient nature of localized pipe flow turbulence [J].
Avila, Marc ;
Willis, Ashley P. ;
Hof, Bjoern .
JOURNAL OF FLUID MECHANICS, 2010, 646 :127-136
[3]   ASPECTS OF THE EQUILIBRIUM PUFF IN TRANSITIONAL PIPE-FLOW [J].
BANDYOPADHYAY, PR .
JOURNAL OF FLUID MECHANICS, 1986, 163 :439-458
[4]   Edge State in Pipe Flow Experiments [J].
de Lozar, A. ;
Mellibovsky, F. ;
Avila, M. ;
Hof, B. .
PHYSICAL REVIEW LETTERS, 2012, 108 (21)
[5]   Transition in pipe flow: the saddle structure on the boundary of turbulence [J].
Duguet, Y. ;
Willis, A. P. ;
Kerswell, R. R. .
JOURNAL OF FLUID MECHANICS, 2008, 613 (255-274) :255-274
[6]   Slug genesis in cylindrical pipe flow [J].
Duguet, Y. ;
Willis, A. P. ;
Kerswell, R. R. .
JOURNAL OF FLUID MECHANICS, 2010, 663 :180-208
[7]   Relative periodic orbits in transitional pipe flow [J].
Duguet, Yohann ;
Pringle, Chris C. T. ;
Kerswell, Rich R. .
PHYSICS OF FLUIDS, 2008, 20 (11)
[8]   Turbulence transition in pipe flow [J].
Eckhardt, Bruno ;
Schneider, Tobias M. ;
Hof, Bjorn ;
Westerweel, Jerry .
ANNUAL REVIEW OF FLUID MECHANICS, 2007, 39 (447-468) :447-468
[9]   Traveling waves in pipe flow [J].
Faisst, H ;
Eckhardt, B .
PHYSICAL REVIEW LETTERS, 2003, 91 (22)
[10]   Visualizing the geometry of state space in plane Couette flow [J].
Gibson, J. F. ;
Halcrow, J. ;
Cvitanovic, P. .
JOURNAL OF FLUID MECHANICS, 2008, 611 (107-130) :107-130