HYDRODYNAMIC FREE SHEAR LAYERS IN A ROTATING FLUID DUE TO AN APPLIED STRESS AT THE FREE SURFACE

TitleHYDRODYNAMIC FREE SHEAR LAYERS IN A ROTATING FLUID DUE TO AN APPLIED STRESS AT THE FREE SURFACE
Publication TypeJournal Article
Year of Publication2017
AuthorsJAGADESHKUMAR, K, SOMARAJU, V, SRINIVAS, S
Secondary TitleCommunications in Applied Analysis
Volume21
Issue1
Start Page107
Pagination12
Date Published01/2017
Type of Workscientific: mathematics
ISSN1083-2564
AMS76U05
Abstract

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 azimuthal 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 Ekman layer at the top. The vertical free shear layers are the usual Stewartson boundary layers namely, the ${{E}^{\frac{1}{3}}}$ and ${{E}^{\frac{1}{4}}}$ layers, which arise to provide a return 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 ${{E}^{\frac{1}{4}}}$ layer at the top free surface.
URLhttp://www.acadsol.eu/en/articles/21/1/6.pdf
DOI10.12732/caa.v21i1.6
Short TitleHydrodynamic Free Shear Layers in a Rotating Fluid
Alternate JournalCAA
Refereed DesignationRefereed
Full Text

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