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Nonlinear evolution of oblique waves on compressible shear layersThe effects of critical-layer nonlinearity on spatially growing oblique instability waves on compressible shear layers between two parallel streams are considered. The analysis shows that mean temperature nonuniformities cause nonlinearity to occur at much smaller amplitudes than it does when the flow is isothermal. The nonlinear instability wave growth rate effects are described by an integrodifferential equation which bears some resemblance to the Landau equation, in that it involves a cubic-type nonlinearity. The numerical solutions to this equation are worked out and discussed in some detail. Inviscid solutions always end in a singularity at a finite downstream distance, but viscosity can eliminate this singularity for certain parameter ranges.
Document ID
19900028887
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Goldstein, M. E.
(NASA Lewis Research Center Cleveland, OH, United States)
Leib, S. J.
(NASA Lewis Research Center; Sverdrup Technology, Inc. Cleveland, OH, United States)
Date Acquired
August 14, 2013
Publication Date
October 1, 1989
Publication Information
Publication: Journal of Fluid Mechanics
Volume: 207
ISSN: 0022-1120
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
90A15942
Distribution Limits
Public
Copyright
Other

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