Prediction of boundary layer sound radiation from wall shear stresses using DNS data

Hu, Z.W. and Morfey, C.L. (2006) Prediction of boundary layer sound radiation from wall shear stresses using DNS data. 12th AIAA/CEAS Aeroacoustics Conference (27th AIAA Aeroacoustics Conference), Cambridge, USA. 07 - 09 May 2006. 10 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

Sound radiation from a plane turbulent boundary layer is investigated using databases from direct numerical simulations (DNS) of plane turbulent Poiseuille flow up to Reynolds number Re? = 1440. Correlation areas for fluctuating wall shear stresses are found to collapse on viscous scaling over the current Reynolds number range. The power spectral density of radiated pressure and the spectrum of radiated sound power, per unit wall area, are predicted in the low Mach number limit by solving a Ffowcs Williams–Hawkings type wave equation using a half-space Green function. The same DNS data are used to predict the spectrum of turbulent boundary layer noise measured in a diffuser downstream of a fully-developed channel flow [Greshinov & Mironov, Soviet Physics Acoustics, 29(4):257-280,1983]. The measured spectrum is higher at low frequencies, but converges with the prediction at high frequencies.

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