Transition to turbulence in a shear flow

被引：62

作者：

Eckhardt, B ^{[1
]}

Mersmann, A

机构：

[1] Univ Marburg, Fachbereich Phys, D-35032 Marburg, Germany

[2] Cv Ossietzky Univ, Fachbereich Phys, D-26111 Oldenburg, Germany

[3] Cv Ossietzky Univ, Inst Chem & Biol Meeres, D-26111 Oldenburg, Germany

来源：

PHYSICAL REVIEW E | 1999年 / 60卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.60.509

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We analyze the properties of a 19-dimensional Galerkin approximation to a parallel shear flow. The laminar flow with a sinusoidal shape is stable for all Reynolds numbers Re. For sufficiently large Re additional stationary flows occur; they are all unstable. The lifetimes of finite amplitude perturbations shows a fractal dependence on amplitude and Reynolds number. These findings are in accord with observations on plane Couette flow and suggest a universality of this transition scenario in shear flows. [S1063-651X(99)02907-4].

引用

页码：509 / 517

页数：9

共 26 条

[1] FLOW REGIMES IN A CIRCULAR COUETTE SYSTEM WITH INDEPENDENTLY ROTATING CYLINDERS [J].