Scaling of the turbulence transition threshold in a pipe

被引：203

作者：

Hof, B ^{[1
]}

Juel, A ^{[1
]}

Mullin, T ^{[1
]}

机构：

[1] Univ Manchester, Manchester Ctr Nonlinear Dynam, Manchester M13 9PL, Lancs, England

来源：

PHYSICAL REVIEW LETTERS | 2003年 / 91卷 / 24期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1103/PhysRevLett.91.244502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report the results of an experimental investigation of the transition to turbulence in a pipe over approximately an order of magnitude range in the Reynolds number Re. A novel scaling law is uncovered using a systematic experimental procedure which permits contact to be made with modern theoretical thinking. The principal result we uncover is a scaling law which indicates that the amplitude of perturbation required to cause transition scales as O(Re-1).

引用

页数：4

共 22 条

[1] A NUMERICAL AND EXPERIMENTAL INVESTIGATION OF A NEW SOLUTION IN THE TAYLOR VORTEX PROBLEM [J].

ANSON, DK ;

MULLIN, T ;

CLIFFE, KA .

JOURNAL OF FLUID MECHANICS, 1989, 207 :475-487

[2] Low-dimensional models of subcritical transition to turbulence [J].

Baggett, JS ;

Trefethen, LN .

PHYSICS OF FLUIDS, 1997, 9 (04) :1043-1053

[3] New results in rotating Hagen-Poiseuille flow [J].

Barnes, DR ;

Kerswell, RR .

JOURNAL OF FLUID MECHANICS, 2000, 417 :103-126

[4]

CHAPMAN S, COMMUNICATION

[5]

Chapman SJ, 2002, J FLUID MECH, V451, P35, DOI [10.1017/S0022112001006255, 10.1017/SO022112001006255]

[6] TRANSITION TO TURBULENCE IN CONSTANT-MASS-FLUX PIPE-FLOW [J].

DARBYSHIRE, AG ;

MULLIN, T .

JOURNAL OF FLUID MECHANICS, 1995, 289 :83-114

[7] FINITE-AMPLITUDE PERTURBATION AND SPOTS GROWTH-MECHANISM IN PLANE COUETTE-FLOW [J].

DAUCHOT, O ;

DAVIAUD, F .

PHYSICS OF FLUIDS, 1995, 7 (02) :335-343

[8] Laminar-turbulent transition in pipe flow for Newtonian and non-Newtonian fluids [J].

Draad, AA ;

Kuiken, GDC ;

Nieuwstadt, FTM .

JOURNAL OF FLUID MECHANICS, 1998, 377 :267-312

[9]

DRAZIN PG, 1980, INTRO HYDRODYNAMIC S

[10] Transition to turbulence in a shear flow [J].

Eckhardt, B ;

Mersmann, A .

PHYSICAL REVIEW E, 1999, 60 (01) :509-517

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