Experimental evidence of streamwise vortices as finite amplitude solutions in transitional plane Couette flow

被引:96
作者
Bottin, S [1 ]
Dauchot, O
Daviaud, F
Manneville, P
机构
[1] Ctr Etud Saclay, Serv Phys Etat Condense, Grp Instabil & Turbulence, F-91191 Gif Sur Yvette, France
[2] Ecole Polytech, Lab Hydrodynam, F-91128 Palaiseau, France
关键词
D O I
10.1063/1.869773
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Elongated streamwise structures are considered as a key element. of the transition to turbulence in various wall flows. In pure plane Couette flow (pCf), longitudinal streaks originating from pairs of streamwise counter-rotating vortices are clearly identified surrounding growing turbulent spots or at late stages of spot relaxation. The same structures bifurcate subcritically from a slightly modified Couette flow where a thin spanwise wire has been introduced in the zero-velocity plane. The basic flow profile, as measured by laser Doppler velocimetry, is shown to approach continuously the original linear velocity profile as the radius of the wire is decreased. On the other hand, the vortices remain almost unchanged and the bifurcation threshold remains bounded from above by the global stability threshold below which turbulent spots relax spontaneously. This supports the conjecture that a related nontrivial nonlinear solution exists in the pure pCf limit. These observations are compared to numerical stability calculations of the modified flow and to finite amplitude solutions to pCf problems with a different tunable modification. (C) 1998 American Institute of Physics.
引用
收藏
页码:2597 / 2607
页数:11
相关论文
共 40 条
[1]  
[Anonymous], 1971, J HYDRAUL DIV ASCE
[2]   NOVEL EXPERIMENTAL FACILITY FOR THE STUDY OF PLANE COUETTE-FLOW [J].
AYDIN, M ;
LEUTHEUSSER, HJ .
REVIEW OF SCIENTIFIC INSTRUMENTS, 1979, 50 (11) :1362-1366
[3]  
BARKLEY D, 1997, UNPUB PHYS FLUIDS
[4]   AN INVESTIGATION OF TURBULENT PLANE COUETTE-FLOW AT LOW REYNOLDS-NUMBERS [J].
BECH, KH ;
TILLMARK, N ;
ALFREDSSON, PH ;
ANDERSSON, HI .
JOURNAL OF FLUID MECHANICS, 1995, 286 :291-325
[5]   Intermittency in a locally forced plane Couette flow [J].
Bottin, S ;
Dauchot, O ;
Daviaud, F .
PHYSICAL REVIEW LETTERS, 1997, 79 (22) :4377-4380
[6]  
BOTTIN S, IN PRESS EPJH
[7]  
BOTTIN S, IN PRESS EUROPHYS LE
[8]  
Busse F. H., 1996, WAVES NONLINEAR PROC
[9]   A FLOW-VISUALIZATION STUDY OF TRANSITION IN PLANE POISEUILLE FLOW [J].
CARLSON, DR ;
WIDNALL, SE ;
PEETERS, MF .
JOURNAL OF FLUID MECHANICS, 1982, 121 (AUG) :487-505
[10]  
CHATE H, 1994, TURBULENCE TENTATIVE