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On the non-linear interaction of inertial modes

Published online by Cambridge University Press:  29 March 2006

H. P. Greenspan
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts

Abstract

It is shown that the principal non-linear interaction of inviscid inertial modes does not produce a resonant response in the steady geostrophic circulation. The rectified geostrophic flow manifested in a closed rotating container by a periodic excitation seems to result from a combination of viscous and non-linear effects within the boundary layers.

Type
Research Article
Copyright
© 1969 Cambridge University Press

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References

Busse, F. H. 1968 Steady fluid flow in a precessing spheroidal shell J. Fluid Mech. 33, 739752.Google Scholar
Fultz, D. 1959 A note on over stability and the elastoid-inertia oscillations of Kelvin, Solberg and Bjerkness J. Meteorol. 16, 199208.Google Scholar
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Longuet-Higgins, M. S. & Gill, A. E. 1967 Resonant interactions between planetary waves. Proc. Roy. Soc A 299, 120140.Google Scholar
Malkus, W. V. R. 1968 Precession of the earth as the cause of geomagnetism Science, 160, 259264.Google Scholar