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Aerodynamic sound generation by global modes in hot jets

Published online by Cambridge University Press:  18 March 2010

LUTZ LESSHAFFT*
Affiliation:
Laboratoire d'Hydrodynamique, CNRS – École Polytechnique, 91128 Palaiseau, France
PATRICK HUERRE
Affiliation:
Laboratoire d'Hydrodynamique, CNRS – École Polytechnique, 91128 Palaiseau, France
PIERRE SAGAUT
Affiliation:
D'Alembert Institute, Université Pierre et Marie Curie (Paris 6), Boite 162, 4 place Jussieu, 75252 Paris Cedex 05, France
*
Email address for correspondence: lutz.lesshafft@ladhyx.polytechnique.fr

Abstract

The acoustic field generated by the synchronized vortex street in self-excited hot subsonic jets is investigated via direct numerical simulation of the compressible equations of motion in an axisymmetric geometry. The simulation simultaneously resolves both the aerodynamic near field and the acoustic far field. Self-sustained near-field oscillations in the present flow configurations have been described as nonlinear global modes in an earlier study. The associated acoustic far field is found to be that of a compact dipole, emanating from the location of vortex roll-up. A far-field solution of the axisymmetric Lighthill equation is derived, on the basis of the source term formulation of Lilley (AGARD-CP, vol. 131, 1974, pp. 13.1–13.12). With the near-field source distributions obtained from the direct numerical simulations, the Lighthill solution is in good agreement with the far-field simulation results. Fluctuations of the enthalpy flux within the jet are identified as the dominant aeroacoustic source. Superdirective effects are found to be negligible.

Type
Papers
Copyright
Copyright © Cambridge University Press 2010

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