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The diffusion of a viscous vortex ring in a rotating fluid

Published online by Cambridge University Press:  28 March 2006

J. A. Johnson
J. A. Johnson
Affiliation:
School of Mathematics and Physics, University of East Anglia, Norwich
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Abstract

A viscous vortex ring is considered as an initial disturbance to a uniformly rotating fluid. Inertial waves are generated by the disturbance and propagate through the fluid affecting the diffusion of the vortex ring with time t. The rate of diffusion is found to be proportional to $t^{\frac{3}{2}}$. This result is compared with the diffusion rates for non-rotating fluids and for conducting fluids under a uniform magnetic field.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 4 , April 1966 , pp. 753 - 763
Copyright
© 1966 Cambridge University Press

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References

Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
Phillips, O. M. 1956 Proc. Camb. Phil. Soc. 52, 13.
Phillips, O. M. 1963 Phys. Fluids, 6, 513.
Saffman, P. G. 1961 Quart. J. Mech. & Appl. Math. 14, 2.