Secondary Flows from a Linear Array of Vortices Perturbed Principally by a Fourier Mode

被引：4

作者：

Chen, Zhi-Min ^{[1
]}

机构：

[1] Shenzhen Univ, Sch Math & Stat, Shenzhen 518060, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCE | 2022年 / 32卷 / 04期

关键词：

Steady-state bifurcation; Navier-Stokes equations; Linear array of vortices; Nonlinear instability; SPATIALLY PERIODIC FLOWS; LARGE-SCALE; INSTABILITIES; STABILITY; CHAOS;

D O I：

10.1007/s00332-022-09800-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the understanding of primary bifurcating flows of a linear array of electromagnetically forced vortices in an experimental fluid motion, a theoretical study on the nonlinear instability is presented. The existence of the bifurcating flows is obtained from a Fourier mode perturbation. This large-scale perturbation, leading to the primary bifurcation observed in a laboratory experiment, was found to be generated principally from a single vortex mode.

引用

页数：25