Localized edge states nucleate turbulence in extended plane Couette cells

被引:84
作者
Schneider, Tobias M. [1 ,2 ]
Marinc, Daniel [1 ,3 ]
Eckhardt, Bruno [1 ,4 ]
机构
[1] Univ Marburg, Fachbereich Phys, D-35032 Marburg, Germany
[2] Harvard Univ, Sch Engn & Appl Sci, Cambridge, MA 02138 USA
[3] Rhein Westfal TH Aachen, Aerodynam Inst, D-52062 Aachen, Germany
[4] Delft Univ Technol, Dept Mech Engn, NL-2928 CA Delft, Netherlands
关键词
PIPE-FLOW; TRANSITION; DYNAMICS; INTERMITTENCY; SYSTEMS; ONSET; SPOTS;
D O I
10.1017/S0022112009993144
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We study the turbulence transition of plane Couette flow in large domains where localized perturbations are observed to generate growing turbulent spots. Extending previous studies on the boundary between laminar and turbulent dynamics we determine invariant structures intermediate between laminar and turbulent flow. In wide but short domains we find states that are localized in spanwise direction, and in wide and long domains the states are also localized in downstream direction. These localized states act as critical nuclei for the transition to turbulence in spatially extended domains.
引用
收藏
页码:441 / 451
页数:11
相关论文
共 48 条
[1]  
[Anonymous], ADV TURBULENCE
[2]   Computational study of turbulent laminar patterns in Couette flow [J].
Barkley, D ;
Tuckerman, LS .
PHYSICAL REVIEW LETTERS, 2005, 94 (01) :1-4
[3]  
BECKER R, 1966, THEORIE WARME
[4]  
BOBERG L, 1988, Z NATURFORSCH A, V43, P697
[5]   Discontinuous transition to spatiotemporal intermittency in plane Couette flow [J].
Bottin, S ;
Daviaud, F ;
Manneville, P ;
Dauchot, O .
EUROPHYSICS LETTERS, 1998, 43 (02) :171-176
[6]   Intermittency in a locally forced plane Couette flow [J].
Bottin, S ;
Dauchot, O ;
Daviaud, F .
PHYSICAL REVIEW LETTERS, 1997, 79 (22) :4377-4380
[7]   Homoclinic snaking: Structure and stability [J].
Burke, John ;
Knobloch, Edgar .
CHAOS, 2007, 17 (03)
[8]  
Canuto C., 1990, SPECTRAL METHODS FLU
[9]   Tertiary and quaternary solutions for plane Couette flow [J].
Clever, RM ;
Busse, FH .
JOURNAL OF FLUID MECHANICS, 1997, 344 :137-153
[10]   TRANSITION TO TURBULENCE IN CONSTANT-MASS-FLUX PIPE-FLOW [J].
DARBYSHIRE, AG ;
MULLIN, T .
JOURNAL OF FLUID MECHANICS, 1995, 289 :83-114