Energetics of the instability of a depth independent equatoral jet

Physics – Fluid Dynamics

Scientific paper

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Energy Transfer, Equatorial Atmosphere, Flow Stability, Fronts (Meteorology), Geophysical Fluids, Jet Flow, Unsteady Flow, Atmospheric Boundary Layer, Conservation Laws, Coriolis Effect, Energy Conservation, Kinetic Energy, Normal Density Functions, Ocean Dynamics

Scientific paper

The instability problem of narrow equatorial jets is noted to resemble the classical barotropic case, in that the meridional gradient of potential vorticity must change sign in order to have growing perturbations. The results obtained for jets of Kelvin mode width are different, with stable westerlies and easterlies that are unstable to negative energy perturbations in the case where easterlies are supercritical at the equator. Although the present model cannot be applied to the real ocean until its vertical structure is enriched, it is anticipated that the case of the equatorial undercurrent falls into the category of 'narrow jets'.

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