Published February 1978 | Version Published
Journal Article Open

The number of waves on unstable vortex rings

Creators

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).

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Identifiers

Eprint ID
10128
Resolver ID
CaltechAUTHORS:SAFjfm78

Funding

Energy Research and Development Administration (ERDA)
AT 04-3-767
Army Research Office (ARO)
DAHC 04-75-C-0009

Dates

Created
2008-04-14
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Updated
2021-11-08
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