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A steady vortex ring close to Hill's spherical vortex

Published online by Cambridge University Press:  24 October 2008

J. Norbury
J. Norbury
Affiliation:
Department of Mathematics, University College, London
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Abstract

The 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 72 , Issue 2 , September 1972 , pp. 253 - 284
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

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