Abstract
AbstractThe existence of a steady vortex ring close to Hill's spherical vortex is established, and an approximate description of its boundary is given. The vorticity in the ring is proportional to the distance from the axis of symmetry. The core propagates steadily in an unbounded fluid at rest at infinity. The boundary of the vortex ring is close to an interior stream surface of Hill's vortex.
Publisher
Cambridge University Press (CUP)
Reference13 articles.
1. (12) Fraenkel L. E. On the method of matched asymptotic expansions. Proc. Cambridge Philos. Soc. 65, 209.
2. (11) Norbury J. A family of steady vortex rings, numerical and asymptotic results. To be submitted to J. Fluid Mech.
Cited by
49 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