A Caltech Library Service

Three-dimensional stability of vortex arrays

Robinson, A. C. and Saffman, P. G. (1982) Three-dimensional stability of vortex arrays. Journal of Fluid Mechanics, 125 . pp. 411-427. ISSN 0022-1120. doi:10.1017/S0022112082003413.

PDF - Published Version
See Usage Policy.


Use this Persistent URL to link to this item:


The stability to three-dimensional disturbances of three classical steady vortex configurations in an incompressible inviscid fluid is studied in the limit of small vortex cross-sectional area and long axial disturbance wavelength. The configurations examined are the single infinite vortex row, the Karman vortex street of staggered vortices and the symmetric vortex street. It is shown that the single row is most unstable to a two-dimensional disturbance, while the Karman vortex street is most unstable to a three-dimensional disturbance over a significant range of street spacing ratios. The symmetric vortex street is found to be most unstable to three-dimensional or two-dimensional symmetric disturbances depending on the spacing ratio of the street. Short remarks are made concerning the relevance of the calculations to the observed instabilities in free shear layer, wake and boundary-layer type flows.

Item Type:Article
Related URLs:
URLURL TypeDescription
Additional Information:© 1982 Cambridge University Press. Reprinted with permission. (Received 18 January 1982 and in revised form 1 June 1982) This work was supported by NASA Lewis Research Center (NAG 3-179) and the Department of Energy (Office of Basic Energy Sciences).
Funding AgencyGrant Number
Department of Energy (DOE)UNSPECIFIED
Record Number:CaltechAUTHORS:ROBjfm82
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10023
Deposited By: Archive Administrator
Deposited On:07 Apr 2008
Last Modified:08 Nov 2021 21:04

Repository Staff Only: item control page