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Free Content Energetics of linear geostrophic adjustment in stratified rotating fluids

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Abstract:

The energy conversion ratio, , is shown to be bounded below by 0 and above by 1/2 in the two-dimensional linear geostrophic adjustment of a continuously stably stratified, incompressible, inviscid non-Boussinesq fluid. ''Two-dimensional'' refers to problems in which the initial isopycnal displacement field is an arbitrary function of the vertical (parallel to the rotation axis) and a single horizontal coordinate. By using Fourier analysis techniques, the paper also identified classes of initial isopycnal displacement profiles for which the adjustment process leads to  > 1/3. Finally, an expression for  is derived when the initial isopycnal displacement profile is three dimensional.

Document Type: Research Article

DOI: https://doi.org/10.1357/002224098765093616

Publication date: 1998-11-01

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