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Oscillatory Drift of Deep Cold Eddies,
FLORIDA STATE UNIV TALLAHASSEE DEPT OF OCEANOGRAPHY
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This paper supplements an earlier one on the dynamics of cold isolated eddies situated on a sloping oceanic floor Nof, 1983a, Deep-Sea Research, 29, 171-182. The lens-like eddies underinvestigation correspond to cold patches bounded by an interface that intersects the sloping analytically. Nonlinear solutions are constructed by separating the equations governing the migration from those governing the eddys interior. It is shown that, in addition to the known steady migration at 90 deg to the right of the downhill directin discussed previously, oscillatory migration is also possible. This time-dependent migration corresponds to a nonlinear eddy that drifts along a cycloid. The asymmetrical oscillations are of the inertial period. They are superimposed on a main migration path which, as in the steady migration case, is directed along a straight line whose orientaiton is at 90 deg to the right of the downhill slope. To an observer riding with the eddy, the circulation within the eddy appears to be steady whereas the migration is time dependent. As in the steady translation case, the drift is entirely independent of the eddys size, intensity, and depth. It depends only on the density difference between the eddy and the environment, the gravitational acceleration, the bottom slope and the Coriolis parameter. Application of this theory to various eddies situated on ocean floor is discussed.
APPROVED FOR PUBLIC RELEASE