Fig. 5.190 Evolution of surface layer thickness along: a the eastern boundary, b the western boundary (Johnson and Marshall, 2002).
where hb is the layer thickness at the outer edge of the western boundary and he at the eastern boundary. Since hb is set by the Rossby waves from the eastern boundary, we have the following time-delay relation:
where L/c = t*(0) is the time for the Rossby waves to cross the basin. Integrating the continuity equation gives d fX d T (0, t)
dt Jxw ad0
where T (6, t) is the volumetric flux within the western boundary current d
Integrating Eqn. (5.407) over the latitudinal band of the basin leads to
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