01/09/1998 Physics
DOI: 10.1007/S001620050100 SemanticScholar ID: 123491064 MAG: 2093647333

Mach Wave Radiation by Mixing Layers. Part I: Analysis of the Sound Field

Publication Summary

In Part II a large-scale sound source in a time-developing planar free mixing layer is studied using an acoustic analogy approach. It is shown that only the non-compact character of the source resembles well the character of the corresponding source in a spatially developing flow. A model based on a continuous assembly of wave packets is derived and applied to direct numerical simulation results of two supersonic time-developing mixing layers undergoing transition to turbulence. The analysis predicts two distinctive dominant Mach wave sources in agreement with the direct analysis of Part~I. The first dominates during the stage of the Λ-vortex structure and the second just prior to the final breakdown to a fine-scale structure. The convective velocity of the second Mach wave source is higher than the first and thus its Mach angle of radiation is higher. The second source has a reduced strength at the higher free-stream Mach number. Directivity and frequency spectra compare well with the results of Part I, demonstrating that the assumptions inherent in the analogy are quite reasonable.

CAER Authors

Avatar Image for Eldad Avital

Dr. Eldad Avital

Queen Mary University of London - Reader in Computational (& Experimental) Fluids and Acoustics

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