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Acoustic waves in parallel shear flows in a duct

✍ Scribed by S. Ishii; T. Kakutani


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
575 KB
Volume
113
Category
Article
ISSN
0022-460X

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✦ Synopsis


This paper deals with linear acoustic waves propagating in parallel shear flows of an inviscid ideal gas in a two-dimensional duct. General properties of the dispersion relation (eigenvalue relation) for the neutralIy stable acoustic modes are derived. Asymptotic behaviours of the eigensolutions for smalI values of Mach number are obtained for quite general velocity profiles. The results are applied to parabolic and linear velocity profiles and compared with those obtained by direct numerical calculations.


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