Baroclinic Buoyancy-Inertia Joint Stability Parameter |
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| Authors: | Hideo Kawai |
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| Institution: | (1) 131-81 Shibagahara, Kuse, Joyo, Kyoto Pref. 610-0102, Japan |
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| Abstract: | At present, the barotropic buoyant stability parameter has been derived from a vertical virtual displacement of a water parcel. The barotropic inertial stability parameter in the eccentrically cyclogeostrophic, basic current field was derived in 2003 from a horizontal cross-stream virtual displacement of a parcel. By expressing acceleration of a parcel due to a virtual displacement, which is arbitrarily sloping within a vertical section across the basic current, in terms of natural coordinates, we derived the vertical component of baroclinic buoyant stability parameter B
2
2, the horizontal component of baroclinic inertial stability parameter I
2
2, the baroclinic joint stability parameter J
2, its buoyant component B
2 and its inertial component I
2. B
2 is far greater than I
2
2, and when neglecting relative vorticity except for vertical shear, a downward convex curve of J
2 plotted against the slope of a virtual displacement follows a trend of B
2 curve. If a parcel displaces along a horizontal surface or an isopycnal surface, however, B
2 vanishes, and J
2 becomes equal to I
2. Actual parcel is apt to displace not only along the bottom slope, but also along the sea surface and an isopycnal interfacial surface, which is approximately equivalent to an isentropic surface, preferred by lateral mixing and exchange of momentum. Such actual displacement makes B
2 vanishing, and grants I
2 an important role. The present analysis of I
2 examining effects due to curvature and horizontal and vertical shear vorticities are useful in deepening our understanding of baroclinic instability in actual oceanic streams. |
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| Keywords: | Baroclinic joint stability parameter baroclinic buoyant stability parameter baroclinic inertial stability parameter stability frequency Brunt-Vaisala frequency sloping virtual displacement natural coordinates parcel method Kuroshio Extension Gulf Stream |
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