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Nonlinear interaction model of subsonic jet noise

Nonlinear interaction model of subsonic jet noise
Nonlinear interaction model of subsonic jet noise
Noise generation in a subsonic round jet is studied by a simplified model, in which nonlinear interactions of spatially evolving instability modes lead to the radiation of sound. The spatial mode evolution is computed using linear parabolized stability equations. Nonlinear interactions are found on a mode-by-mode basis and the sound radiation characteristics are determined by solution of the Lilley–Goldstein equation. Since mode interactions are computed explicitly, it is possible to find their relative importance for sound radiation. The method is applied to a single stream jet for which experimental data are available. The model gives Strouhal numbers of 0.45 for the most amplified waves in the jet and 0.19 for the dominant sound radiation. While in near field axisymmetric and the first azimuthal modes are both important, far-field sound is predominantly axisymmetric. These results are in close correspondence with experiment, suggesting that the simplified model is capturing at least some of the important mechanisms of subsonic jet noise.
jet noise, aeroacoustics, parabolized stability equations
1364-503X
2745-2760
Sandham, Neil D.
0024d8cd-c788-4811-a470-57934fbdcf97
Salgado, Adriana M.
b091b999-b98e-4b7d-92d8-723c3bf5ad33
Sandham, Neil D.
0024d8cd-c788-4811-a470-57934fbdcf97
Salgado, Adriana M.
b091b999-b98e-4b7d-92d8-723c3bf5ad33

Sandham, Neil D. and Salgado, Adriana M. (2008) Nonlinear interaction model of subsonic jet noise. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 366 (1876), 2745-2760. (doi:10.1098/rsta.2008.0049).

Record type: Article

Abstract

Noise generation in a subsonic round jet is studied by a simplified model, in which nonlinear interactions of spatially evolving instability modes lead to the radiation of sound. The spatial mode evolution is computed using linear parabolized stability equations. Nonlinear interactions are found on a mode-by-mode basis and the sound radiation characteristics are determined by solution of the Lilley–Goldstein equation. Since mode interactions are computed explicitly, it is possible to find their relative importance for sound radiation. The method is applied to a single stream jet for which experimental data are available. The model gives Strouhal numbers of 0.45 for the most amplified waves in the jet and 0.19 for the dominant sound radiation. While in near field axisymmetric and the first azimuthal modes are both important, far-field sound is predominantly axisymmetric. These results are in close correspondence with experiment, suggesting that the simplified model is capturing at least some of the important mechanisms of subsonic jet noise.

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Published date: 2008
Keywords: jet noise, aeroacoustics, parabolized stability equations

Identifiers

Local EPrints ID: 65225
URI: http://eprints.soton.ac.uk/id/eprint/65225
ISSN: 1364-503X
PURE UUID: 3eddf2a6-16da-4691-8af9-1b7be2180730
ORCID for Neil D. Sandham: ORCID iD orcid.org/0000-0002-5107-0944

Catalogue record

Date deposited: 11 Feb 2009
Last modified: 16 Mar 2024 03:03

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Contributors

Author: Neil D. Sandham ORCID iD
Author: Adriana M. Salgado

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