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.

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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.

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