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Some aspects of time-dependent motion of a stratified rotating fluid

Published online by Cambridge University Press:  29 March 2006

GÖUsta Walin
Affiliation:
Institute of Meteorology, University of Stockholm

Abstract

Time-dependent motion of a rotating stratified fluid is analyzed within the quasigeostrophic approximation. A few examples of mechanically driven flow are analyzed. It is found that the motion is characterized by the ratio B of the stability frequency and the Coriolis parameter. Thus the ratio of the horizontal and vertical characteristic scale is in general O(B). In particular the decay process caused by a horizontal boundary will penetrate a distance B−1L into the fluid, L denoting the horizontal scale of the motion.

Type
Research Article
Copyright
© 1969 Cambridge University Press

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References

Charney, J. G. 1949 On a physical basis for numerical prediction of large-scale motions in the atmosphere J. Met. 6, 371385.Google Scholar
Charney, J. C. & Eliassen, A. 1949 A numerical method for predicting the perturbations of the middle latitude westerlies Tellus, 1, 3854.Google Scholar
Greenspan, H. P. & Howard, L. N. 1963 On a time dependent motion of a rotating fluid J. Fluid Mech. 17, 384404.Google Scholar
Holton, J. R. 1965 The influence of viscous boundary layers on transient motions in a stratified rotating fluid. Part I J. Atmos. Sci. 22, 402411.Google Scholar
Pedlosky, J. 1967 The spin up of a stratified fluid J. Fluid Mech. 28, 463479.Google Scholar
Phillips, N. A. 1963 Geostrophic motion Rev. Geoph. 1, 123176.Google Scholar
Rossby, C. G. 1938 On temperature changes in the stratosphere resulting from shrinking and stretching. Beitr. zum Physik der freien Atm. 24, 2, 5359.Google Scholar