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Convective and dynamic instability in meridional trenches

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Abstract

The mathematical model of Raleigh convection on the rotating Earth in deepwater ocean depression is generalized for the case including the meridional temperature gradient. A steadystate thermal shear flow, in the origin of convective instability induced by this gradient has an effect contrary to the stabilizing influence of the Earth rotation. The stability of this flow has been studied with respect to the three-dimensional disturbances. Critical parameters determining the convection are calculated for the Kuril-Kamchatka and Japan trenches. The velocity components of tidal flow have been calculated using the hypothesis of Prandtl mixing way for bottom layer of trenches and the dynamic Richardson number has been calculated. It was noted that dynamic stability condition in bottom layers of the Kuril-Kamchatka and Japan trenches vary within tidal cycle. The periodical component for harmonics O1 and M2 has been calculated.

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Muratov, L.F. Convective and dynamic instability in meridional trenches. GeoJournal 23, 207–214 (1991). https://doi.org/10.1007/BF00204838

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  • DOI: https://doi.org/10.1007/BF00204838

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