The Velocity of Viscous Vortex Rings
Author:
- 1 December 1970
- journal article
- research article
- Published by Wiley in Studies in Applied Mathematics
- Vol. 49 (4) , 371-380
Abstract
The motion of vortex rings of small cross section is considered. A formula is derived for the velocity of a ring in an ideal fluid with an arbitrary distribution of vorticity in the core. The effects of viscosity are then examined. A definition of the velocity of an unsteady diffusing ring is given and it is shown that the method used to calculate the ring speed in an ideal fluid can be extended to give the velocity of a vortex ring subject to viscous diffusion.Keywords
This publication has 4 references indexed in Scilit:
- On steady vortex rings of small cross-section in an ideal fluidProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1970
- The degree of knottedness of tangled vortex linesJournal of Fluid Mechanics, 1969
- Motion and Decay of a Vortex RingThe Physics of Fluids, 1967
- The final period of decay of non-homogeneous turbulenceMathematical Proceedings of the Cambridge Philosophical Society, 1956