Stationary Spherical Vortices in a Perfect Fluid

Necessary conditions are derived for a spherical vortex in a perfect fluid to be stationary in the case when the velocities depend on a single surface harmonic. The motion is indeterminate unless an additional condition is imposed. In the case when this condition is incompressibility, the equations...

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Bibliographic Details
Published in:Proceedings of the National Academy of Sciences - PNAS 1972-09, Vol.69 (9), p.2460-2462
Main Author: Pekeris, C. L.
Format: Article
Language:English
Subjects:
Contrapuntal motion
Kinetics
Magnetic fields
Necessary conditions
Physical Sciences: Applied Mathematics
Vortices
Citations: Items that cite this one
Online Access:Get full text
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Summary:Necessary conditions are derived for a spherical vortex in a perfect fluid to be stationary in the case when the velocities depend on a single surface harmonic. The motion is indeterminate unless an additional condition is imposed. In the case when this condition is incompressibility, the equations are solved, yielding a class of stationary spherical vortices.
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.69.9.2460