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Features of sound propagation through and stability of a finite shear layerThe plane wave propagation, the stability and the rectangular duct mode problems of a compressible inviscid linearly sheared parallel, but otherwise homogeneous flow, are shown to be governed by Whittaker's equation. The exact solutions for the perturbation quantities are essentially Whittaker M-functions. A number of known results are obtained as limiting cases of exact solutions. For the compressible finite thickness shear layer it is shown that no resonances and no critical angles exist for all Mach numbers, frequencies and shear layer velocity profile slopes except in the singular case of the vortex sheet.
Document ID
19770003366
Document Type
Conference Paper
Authors
Koutsoyannis, S. P.
(Stanford Univ. CA, United States)
Date Acquired
August 8, 2013
Publication Date
January 1, 1976
Publication Information
Publication: NASA. Langley Res. Center Advan. in Eng. Sci., Vol 3
Subject Category
Acoustics
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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IDRelationTitle19770003363Analytic PrimaryAdvances in Engineering Science, Volume 3