Ekman Layer -- from Eric Weisstein's World of Physics

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Ekman Layer

The boundary layer between a geostrophic flow and a solid boundary at which the no-slip condition applies. In the geostrophic flow region, there is a uniform flow with velocity in the x direction. Associated with , there is a pressure gradient in the y direction,

(1)

(2)

where is the rotational frequency, is the density. Now, look for a solution for the boundary with the velocity field uniform in the x and y directions. This is an ad hoc procedure, but is justified because such a solution exists. Take

(3)

(4)

This requires that

(5)


© 1996-2007 Eric W. Weisstein

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