Abstract
The initial development of a barotropic west-coast inertial boundary layer is studied analytically. A time independent inflow produced by a long Rossby wave is incident on a west coast at t = 0. The ocean is at rest at the coast for t < 0. The initial boundary response is linear and consist of a rapidly concentrating quasi-inviscid flow with a viscous sublayer. If ϵ 1 2 ⩽ E 1 3 (where ϵ ⩾ 1 is the Rossby number and E ⩾ 1 is the Ekman number) a linear theory fails when t = O(ϵ − 1 2 ) and a non-linear quasi-inviscid boundary flow develops. A series expansion in t ϵ built1 2 is used to investigate the initial influence of the non-linear terms. The northward velocity component is largest at the inner edge of the inertial current, and the development of this component has been followed both analytically and numerically near a stagnation point until a steady state is reached.
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