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HYDRODYNAMIC FREE SHEAR LAYERS IN A ROTATING
FLUID DUE TO AN APPLIED STRESS AT THE FREE
SURFACE
Vertical free shear layers, which arise due to an azimuthal
stress at the free surface of a linear, steady, axisymmetric, rotating fluid
bounded below by a rigid surface, are analyzed using a combination of Fourier
transform and boundary layer techniques. It is found that the interior az-
imuthal velocity is equal to the applied stress itself and the vertical mass flux
pumped by the bottom Ekman layer enters directly into the free surface Ek-
man layer at the top. The vertical free shear layers are the usual Stewartson
boundary layers namely, the E^(⅓) and E^(¼) layers, which arise to provide a re-
turn path for the Ekman mass flux and adjust the azimuthal velocity to its
suitable value at the vertical boundary /discontinuity. However, In contrast
to top rigid surface case, the Ekman mass flux cannot enter directly into the E^(¼) layer at the top free surface.
Journal | Communications in Applied Analysis |
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Publisher | Dynamic Publishers, Inc., Acad. Publishers, Ltd. |
Open Access | Yes |