Stuart vortices in a stratified mixing layer. 1: The Garcia model

Details Stuart vortices in a stratified mixing layer. 1: The Garcia model Stuart vortices in a stratified mixing layer. 1: The Garcia model

Mar 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994gapfd..74...73m&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 74, no. 1-4, p. 73-97

Physics

Fluid Dynamics

3

Boundary Layer Flow, Inviscid Flow, Mathematical Models, Mixing Layers (Fluids), Shear Layers, Shear Stress, Strata, Vortices, Vorticity, Equations Of Motion, Flow Distribution, Nonlinearity, Steady State

Scientific paper

Using a nonlinear critical layer analysis, we find a class of steady state, finite-amplitude waves in the Garcia model of an inviscid stratified shear layer. The vorticity distribution inside the vortex cores is similar to that of the family of two-dimensional vortices, known as Stuart vortices, found by Stuart (1967) in a homogeneous shear layer. The solutions obtained are compared with those previously obtained using similar techniques, but for which the Prandtl-Batchelor theorem had been invoked inside closed streamlines to justify the homogenization of vorticity therein.

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