Stability of periodic arrays of vortices

被引：25

作者：

Dauxois, T ^{[1
]}

Fauve, S ^{[1
]}

Tuckerman, L ^{[1
]}

机构：

[1] LIMSI,F-91403 ORSAY,FRANCE

来源：

PHYSICS OF FLUIDS | 1996年 / 8卷 / 02期

关键词：

D O I：

10.1063/1.868802

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The stability of periodic arrays of Mallier-Maslowe or Kelvin-Stuart vortices is discussed. We derive with the energy-Casimir stability method the nonlinear stability of this solution in the inviscid case as a function of the solution parameters and of the domain size. We exhibit the maximum size of the domain for which the vortex street is stable. By adapting a numerical time-stepping code, we calculate the linear stability of the Mallier-Maslowe solution in the presence of viscosity and compensating forcing. Finally, the results are discussed and compared to a recent experiment in fluids performed by Tabeling et al. [Europhy. Lett. 3, 459 (1987)]. Electromagnetically driven counter-rotating vortices are unstable above a critical electric current, and give way to co-rotating vortices. The importance of the friction at the bottom of the experimental apparatus is also discussed. (C) 1996 American Institute of Physics.

引用

页码：487 / 495

页数：9