The Effect of Boundaries on the Stability of Inviscid Stratified Shear Flows

[+] Author and Article Information
F. Einaudi

Cooperative Institute for Research in Environmental Sciences, University of Colorado/NOAA, and Aeronomy Laboratory, National Oceanic and Atmospheric Administration, Boulder, Colo.

D. P. Lalas

Department of Mechanical Engineering Sciences, Wayne State University, Detroit, Mich.

J. Appl. Mech 43(2), 243-248 (Jun 01, 1976) (6 pages) doi:10.1115/1.3423817 History: Received August 01, 1975; Revised November 01, 1975; Online July 12, 2010


The influence of the presence and position of solid boundaries on the stability of an inviscid, stratified shear flow, is examined numerically for the case of a hyperbolic tangent velocity profile and an exponentially decreasing density. The presence of solid boundaries is shown to stabilize short wavelengths and destabilize large wavelengths. Furthermore, extra unstable modes, not present in an infinite domain, are found for large wavelengths, both for symmetric and asymmetric boundaries. Finally, the validity of the principle of exchange of stability is examined, and it is shown to be unreliable even for the case of symmetric boundaries.

Copyright © 1976 by ASME
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