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Mach wave radiation by mixing layers. Part I: analysis of the sound field

Mach wave radiation by mixing layers. Part I: analysis of the sound field
Mach wave radiation by mixing layers. Part I: analysis of the sound field
In Part I a wave packet model is used to show that a time-developing mixing layer produces a Mach wave pattern similar to the one produced by a spatial-developing mixing layer. However, this kind of similarity does not exist for the sound emitted by subsonic sound sources. A method to analyse temporal direct numerical simulation (DNS) results for the Mach wave pattern is then developed and demonstrated using numerical results of the wave-packet model. The method is applied to the temporal DNS results of a supersonic mixing layer undergoing transition to turbulence. Two dominant Mach waves are revealed. The first wave originates from about the time of the Λ-vortex structure dominance in the layer. The second wave appears just prior to the final breakdown of the layer to a fine-scale turbulence structure. The second wave shows a higher level of a finite-amplitude wave behaviour and a smaller-scale source structure than the first wave. Directivity plots and frequency spectra are provided and discussed.
0935-4964
73-90
Avital, E.J.
37c1edd0-b9c3-4751-be1e-c61505671ae8
Sandham, N.D.
0024d8cd-c788-4811-a470-57934fbdcf97
Luo, K.H.
1c9be6c6-e956-4b12-af13-32ea855c69f3
Avital, E.J.
37c1edd0-b9c3-4751-be1e-c61505671ae8
Sandham, N.D.
0024d8cd-c788-4811-a470-57934fbdcf97
Luo, K.H.
1c9be6c6-e956-4b12-af13-32ea855c69f3

Avital, E.J., Sandham, N.D. and Luo, K.H. (1998) Mach wave radiation by mixing layers. Part I: analysis of the sound field. Theoretical and Computational Fluid Dynamics, 12 (2), 73-90. (doi:10.1007/s001620050100).

Record type: Article

Abstract

In Part I a wave packet model is used to show that a time-developing mixing layer produces a Mach wave pattern similar to the one produced by a spatial-developing mixing layer. However, this kind of similarity does not exist for the sound emitted by subsonic sound sources. A method to analyse temporal direct numerical simulation (DNS) results for the Mach wave pattern is then developed and demonstrated using numerical results of the wave-packet model. The method is applied to the temporal DNS results of a supersonic mixing layer undergoing transition to turbulence. Two dominant Mach waves are revealed. The first wave originates from about the time of the Λ-vortex structure dominance in the layer. The second wave appears just prior to the final breakdown of the layer to a fine-scale turbulence structure. The second wave shows a higher level of a finite-amplitude wave behaviour and a smaller-scale source structure than the first wave. Directivity plots and frequency spectra are provided and discussed.

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More information

Published date: September 1998

Identifiers

Local EPrints ID: 72004
URI: http://eprints.soton.ac.uk/id/eprint/72004
ISSN: 0935-4964
PURE UUID: 35a603d4-97cf-43ce-9584-dc3012fc0106
ORCID for N.D. Sandham: ORCID iD orcid.org/0000-0002-5107-0944

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Date deposited: 14 Jan 2010
Last modified: 14 Mar 2024 02:42

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Contributors

Author: E.J. Avital
Author: N.D. Sandham ORCID iD
Author: K.H. Luo

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