Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published February 1978 | Published
Journal Article Open

The number of waves on unstable vortex rings

Saffman, P. G.

Abstract

An explanation is proposed for the dependence on Reynolds number and other parameters of the number of waves which appear on vortex rings formed by pushing fluid out of a tube. It is shown that the number of waves can be sensitive to the vorticity distribution in the core of the ring. The process of ring formation is discussed and it is concluded that peaked vorticity distributions, limited by viscosity, will occur. Quantitative estimates of the number of waves are made. Agreement with observation is satisfactory.

Additional Information

© 1978 Cambridge University Press. Reprinted with permission. (Received 19 May 1977) This work originated in a discussion with Professor D.W. Moore. Support was provided by the Energy Research Development Administration (AT 04-3-767) and the U.S. Army Research Office, Durham (DAHC 04-75-C-0009).

Attached Files

Published - SAFjfm78.pdf

Files

SAFjfm78.pdf
Files (935.5 kB)
Name Size Download all
md5:54cd595ffc9e7cf38dc5c5942042a70f
935.5 kB Preview Download

Additional details

Created:
August 22, 2023
Modified:
October 16, 2023