Publication Date:
2019-06-27
Description:
The plane wave propagation, the stability, and the rectangular duct mode problems of a compressible, inviscid, linearly sheared, parallel, homogeneous flow are shown to be governed by Whittaker's equation. The exact solutions for the perturbation quantities are essentially the Whittaker M-functions where the nondimensional quantities have precise physical meanings. A number of known results are obtained as limiting cases of the 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.
Keywords:
ACOUSTICS
Type:
NASA-CR-162465
,
SU-JIAA-TR-5
,
Ann. Meeting of the Soc. of Eng. Sci.; Hampton, VA; United States
Format:
application/pdf
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