Mathematics – Logic
Scientific paper
Oct 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981mesjj..59..615y&link_type=abstract
Meteorological Society of Japan, Journal, vol. 59, Oct. 1981, p. 615-619.
Mathematics
Logic
Boundary Layer Flow, Flow Theory, Geostrophic Wind, Laminar Flow, Planetary Boundary Layer, Prandtl Number, Circular Cylinders, Flow Resistance, Numerical Flow Visualization, Reynolds Number, Stagnation Flow, Turbulent Flow, Two Dimensional Flow, Vortices
Scientific paper
The Prandtl-Batchelor theorem for high Reynolds number flows is generalized and applied to quasi-geostropic flows with or without meso-scale eddies in a closed geostrophic contour. It is shown that the generalized theorem gives the simple relationship among small-scale dissipation processes, quasi-geostrophic turbulent eddies and large-scale mean flows in terms of torque balances. Laminar quasi-geostrophic flows without any external forcings are shown to be stagnant in a closed streamline due to the Ekman friction, and two markedly different mean states are suggested in the limit of weak eddies and weak dissipation for the turbulent case.
Matsuura Taeko
Yamagata Taketora
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