Bifurcation theory for three-dimensional flow in the wake of a circular cylinder

被引：70

作者：

Barkley, D ^{[1
]}

Tuckerman, LS

Golubitsky, M

机构：

[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

[2] CNRS, LIMSI, F-91403 Orsay, France

[3] Univ Houston, Dept Math, Houston, TX 77204 USA

来源：

PHYSICAL REVIEW E | 2000年 / 61卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.61.5247

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：

A bifurcation scenario is presented for three-dimensional vortex shedding in the wake of a circular cylinder for Reynolds numbers up to 300. Amplitude equations are proposed to describe the nonlinear interaction between two three-dimensional modes of shedding with different spanwise wave numbers and different spa tiotemporal symmetries. The amplitude equations explain many features of the transition scenario observed experimentally.

引用

页码：5247 / 5252

页数：6

共 22 条

[1] Three-dimensional Floquet stability analysis of the wake of a circular cylinder [J].