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Sverdrup Relation in 1 ½ layer model

Explore the impact of various parameters on gyre circulation using Sverdrup relation in a 1½ layer model with reduced gravity.

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Sverdrup Relation in 1 ½ layer model

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  1. Sverdrup Relation in 1½ layer model Where D is the upper layer thickness v1 is the geostrophic flow in the upper layer g’ is the reduced gravity

  2. Integrating over the basin outside the western boundary layer Under an anticyclonic wind stress forcing (independent of y) and assume The magnitude of Do is determined by tau

  3. Inertial western Boundary Layer Assume that a western boundary layer extends from x=0, where D=Db~0, to x=W, where D=D0, the total transport should be

  4. Outside the boundary layer Inside the boundary layer  The conservation of potential vorticity requires Rossby radius of deformation

  5. Let We have These parameters are in right magnitudes  

  6. Inertial boundary layer can not close the gyre circulation It can mainly used to explain the southern part of the boundary current Assume the simple balance A parcel coming into the boundary layer has The effect of friction is reduced and the boundary layer is broadened.

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