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Viscous Sound-Vortex Interaction in a Duct Shear Flow

✍ Scribed by J.Z. Wu; H.Y. Ma; J.M. Wu


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
612 KB
Volume
172
Category
Article
ISSN
0022-460X

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✦ Synopsis


The theory of sound refraction by shear layers, established two decades ago, is revisited from the viewpoint of sound-vortex interaction: vortical waves are generated by sound on the duct rigid wall through viscosity, and these acoustically created vortical waves in turn serve as a source of sound. This viewpoint leads to an approach different from conventional ones. For a quadratic basic velocity profile at low Mach number, results are given from small to large wavenumbers with different Reynolds numbers, and compared with two simplified asymptotic approaches at the large wavenumber end. It is found that, as the wavenumber increases at a fixed Reynolds number, the resultant sound pressure level is first lower but then higher than corresponding inviscid values. Similar non-monotonic behavior for varying Reynolds numbers at fixed wavenumber is also observed. The importance of viscosity in sound production by vortex is confirmed, and the possible physical reason for sound amplification at large wavenumber is discussed. Unlike conventional methods in duct acoustics, the approach adopted here can be generalized to much wider sound-vortex interaction problems without fundamental difficulty.


πŸ“œ SIMILAR VOLUMES


ON SOUND PROPAGATION IN A LINEAR SHEAR F
✍ L.M.B.C. Campos; J.M.G.S. Oliveira; M.H. Kobayashi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 281 KB

It is shown that the acoustic wave equation in a linear shear flow always has a critical layer, where the Doppler shifted frequency vanishes; since this is the only singularity of the wave equation apart from the point at infinity, the power series solution about the critical layer has infinite radi