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.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference26 articles.
1. Liess, C. & Didden, N. 1976 Z. angew. Math. Mech. 56, T206.
2. Dyson, F. W. 1893 Phil. Trans. Roy. Soc. A184, 1041.
3. Saffman, P. G. 1975 Stud. Appl. Math. 54,261.
4. Krutzsch, C. H. 1939 Ann. Phys. 35,497.
5. Moore, D. W. & Saffman, P. G. 1974 Proc. Roy. Soc. A338, 535.
Cited by
187 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