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On a generalized potential vorticity equation for quasi-geostrophic flow
Authors:H L Kuo
Institution:(1) Department of Geophysical Sciences, University of Chicago, USA
Abstract:Summary It is shown that the general nonlinear potential vorticity equation for viscous and conductive fluid in a rotating system can be expressed in terms of the geostrophic stream function for the horizontal velocity alone, provided that the motions are hydrostatic and quasi-geostrophic and the Richardson number is much larger than unity. The form of this equation is identical with that obtained from an asymptotic expansion for a small Rossby number.
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