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A global analysis of tonal noise in flows around aerofoils

Published online by Cambridge University Press:  30 July 2014

Miguel Fosas de Pando Open the ORCID record for Miguel Fosas de Pando [Opens in a new window] ,
Peter J. Schmid  and
Denis Sipp
Miguel Fosas de Pando*
Affiliation:
LadHyX, CNRS–Ecole Polytechnique, 91128 Palaiseau, France
Peter J. Schmid
Affiliation:
Department of Mathematics, Imperial College London, London SW7 2AZ, UK
Denis Sipp
Affiliation:
ONERA/DAFE, 8 rue des Vertugadins, 92190 Meudon, France
*
†Present address: Departamento de Ingeniería Mecánica y Diseño Industrial, Escuela Superior de Ingeniería, Universidad de Cádiz, c/Chile 1, 11002 Cádiz, Spain. Email address for correspondence: miguel@ladhyx.polytechnique.fr
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Abstract

The generation of discrete acoustic tones in the compressible flow around an aerofoil is addressed in this work by means of nonlinear numerical simulations and global stability analyses. The nonlinear simulations confirm the appearance of discrete tones in the acoustic spectrum and, for the chosen flow case, the global stability analyses of the mean-flow dynamics reveal that the linearized operator is stable. However, the flow response to incoming disturbances exhibits important transient growth effects that culminate in the onset of aeroacoustic feedback loops, involving instability processes on the suction- and pressure-surface boundary layers together with their cross-interaction by acoustic radiation at the trailing edge. The features of the aeroacoustic feedback loops and the appearance of discrete tones are then related to the features of the least-stable modes in the global spectrum: the spatial structure of the direct modes displays the coupled dynamics of hydrodynamic instabilities on the suction surface and in the near wake. Finally, different families of global modes will be identified and the dynamics that they represent will be discussed.

JFM classification

Acoustics: Aeroacoustics Instability: Instability Wakes/Jets: Separated flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 754 , 10 September 2014 , pp. 5 - 38
Copyright
© 2014 Cambridge University Press 

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