Examples of steady vortex rings of small cross-section in an ideal fluid

Journal of Fluid Mechanics

Volumn 51, Issue 1, 1972, Pages 119-135

  Fraenkel, L E ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84974200408     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112072001107     Document Type: Article

References (9)

1. Dyson, F. W. 1893 The potential of an anchor ring, I and II. Phil. Trans. Roy. Soc. A 184, 43 and 1041.
2. Fraenkel, L. E. 1969 On the method of matched asymptotic expansions, III. Proc. Camb. Phil. Soc. 65, 263.
3. Fraenkel, L. E. 1970 On steady vortex rings of small cross-section in an ideal fluid. Proc. Roy. Soc. A 316, 29.
4. Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
5. Maruhn, K. 1934 Über zwei Gleichgewichtsfiguren rotierender inhomogener Flüssigkeit. Math. Zschr. 39, 244.
6. Maruhn, K. 1957 Über die Existenz stationärer Bewegungen von Wirbelringen. Proc. Ninth International Congress Appl. Mech. Brussels, 1, 173.
7. Norbury, J. 1972a A steady vortex ring close to Hill's spherical vortex. To appear in Proc. Camb. Phil. Soc.
8. Norbury, J. 1972b A family of steady vortex rings. To be submitted to J. Fluid Mech.
9. Saffman, P. G. 1970 The velocity of viscous vortex rings. Studies in Appl. Math. 49, 371.