Physics
Scientific paper
Feb 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980dyato...4..143k&link_type=abstract
Dynamics of Atmospheres and Oceans, vol. 4, Feb. 1980, p. 143-184. Research supported by the Natural Environment Research Counc
Physics
23
Flow Stability, Parallel Flow, Rotating Fluids, Shear Flow, Stratified Flow, Asymptotic Methods, Baroclinity, Barotropic Flow, Coalescing, Equations Of Motion
Scientific paper
The linear normal mode instabilities of a parallel shear flow which varies both vertically and meridionally in a quasigeostrophic, rotating, stratified fluid are considered, and both the two-layer approximation and continuous flow are examined. It is found that the instability can be described adequately by lambda, the ratio of the horizontal length scale of the shear to the internal deformation radius, delta, which is either the ratio of layer depths in the two-layer fluid or the fractional depth of variation of the stratification in the continuous fluid, and beta, suitably nondimensionalized. In addition, asymptotic analyses, performed for conditions where various parameters become large or small, show that the beta effect is essentially quantitative, whereas lambda and delta define the type of instability as barotropic, baroclinic, or mixed.
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