Acoustic waves in parallel shear flows in a duct
β 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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β¦ 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.
π SIMILAR VOLUMES
The propagation of small disturbances in an annular duct with a mean vortical swirling flow is studied. The disturbance velocity is split into a nearly-convected part and a nearly-sonic part, obeying weakly coupled equations. A normal mode analysis shows that the eigenvalues are segregated into a fi
An experimental and theoretical investigation of the in#uence of a parallel shear #ow on the sound propagation in a circular duct is described. The theoretical model is based on a perturbation expansion at low Mach number of the modal equation for parallel shear #ows (Pridmore-Brown equation). In th