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The Steady Motion of a Spherical Vortex

Published online by Cambridge University Press:  20 January 2009

H. S. Carslaw
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The possibility of the steady motion of a spherical vortex of constant vorticity in an infinite homogeneous liquid was first pointed out by Hill in the Phil. Trans., 1894, pp. 213–245. He had already discussed a case of motion which had for the surfaces always containing the same particles those given by the equation

a particular surface being

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 15 , February 1896 , pp. 76 - 80
Copyright
Copyright © Edinburgh Mathematical Society 1896

References

page 77 note * Basset, Hydrodynamics, Vol. II., p. 81, Equations (55) and (57) in spherical coordinates. The axis from which θ is increased is parallel to the direction of V