Stability of a vortex street of finite vortices-Reference-Cited by-同舟云学术

Stability of a vortex street of finite vortices

Published:1982-04 Issue: Volume:117 Page:171-185
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Saffman P. G.,Schatzman J. C.

Abstract

The stability of the finite-area Kármán ‘vortex street’ to two-dimensional disturbances is determined. It is shown that for vortices of finite size there exists a finite range of spacing ratio κ for which the array is stable to infinitesimal disturbances. As the vortex size approaches zero, the range narrows to zero width about the classical von Kármán value of 0·281.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference15 articles.

1. Rosenhead, L. 1929 Double row of vortices with arbitrary stagger.Proc. Camb. Phil. Soc. 25,132–138.

2. Kochin, N. J. 1939 On the instability of von Kármán's vortex street.C. R. Acad. Sci. U.R.S.S. 24,19–23.

3. Kelvin, Lord 1910 Mathematical and Physical Papers , vol. IV.Cambridge University Press.

4. Chirikov, B. V. 1979 A universal instability of many-dimensional oscillator systems.Phys. Rep. 52,263–379.

5. Arnol'D, V. I. 1980 Mathematical Methods of Classical Mechanics ,pp.332–337.Springer.

Cited by 60 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Kármán vortex street for the generalized surface quasi-geostrophic equation;Calculus of Variations and Partial Differential Equations;2023-06-09

2. Vortex Dynamics in Dusty Plasma Flow Past a Dust Void;Vortex Dynamics - From Physical to Mathematical Aspects;2022-09-28

3. Stability of finite and infinite von Kármán vortex-cluster streets;Physical Review E;2021-03-15

4. Stability of a reverse Karman vortex street;Physics of Fluids;2021-02-01

5. Kármán vortex street in incompressible fluid models;Nonlinearity;2020-02-17