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MODELLING THE FAR-FIELD ACOUSTIC EMISSION OF ROTATING TURBULENCE

Fabien S. Godeferd
LMFA UMR 5509, Ecole Centrale de Lyon, BP 163, 69131 Ecully, France

Claude Cambon
LMFA UMR 5509, Ecole Centrale de Lyon, BP 163, 69131 Ecully, France

Benjamin Favier
Laboratoire de Mecanique des Fluides et d'Acoustique, Ecole Centrale de Lyon, 36, avenue Guy de Collongue, 69134 Ecully cedex, France

Abstract

This paper focuses on the acoustic emission of unsteady and anisotropic homogeneous turbulence. A computationally efficient method is introduced in order to model turbulence submitted to rotation. The model for the fluctuations mixes random Fourier modes and inertial waves with variable respective intensities. The acoustic analogy introduced by Lighthill is applied to these sources to estimate the acoustic properties of the incompressible anisotropic field. The modifications induced by rotation on the spectrum of acoustic intensity are discussed. We present results for the acoustic spectrum, sound directivity, and we compare with some theoretical laws.