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The model of a single infinite disk oscillating about a state of steady rotation

Published online by Cambridge University Press:  29 March 2006

A. F. Jones
A. F. Jones
Affiliation:
Department of Mechanics, The Johns Hopkins University
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Abstract

The flow produced by a disk performing small oscillations in a rotating system is considered. Results are obtained for the first-order harmonic velocity and the second-order steady velocity. It is then shown that this mathematical model does not always represent an axially bounded fluid in the limit of infinite separation, and to be general one must allow a steady, azimuthal, perturbation velocity with an arbitrary value to exist at infinity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 39 , Issue 2 , 10 November 1969 , pp. 257 - 267
Copyright
© 1969 Cambridge University Press

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References

Benney, D. J. 1965 Quart. J. Mech. Appl. Math. 18, 333.
Hunt, H. N. & Johns, B. 1963 Tellus 15, 343.
Jones, A. F. 1968 Ph.D. Thesis, University of London.
Jones, A. F. 1969 J. Fluid Mech. 39, 269.