Broadband Airfoil Trailing-Edge Noise Prediction from Measured Surface Pressures and Spanwise Length Scales

In this paper an effective approach to estimate airfoil Turbulent Boundary-Layer Trailing-Edge (TBL-TE) far-field noise from measured surface pressure fluctuations (SPF) is evaluated. Measurements of both SPF and TE noise were performed on a NACA 0012 airfoil of 0.4 m chord at Reynolds numbers of 1.0–1.9 millions for various angles of attack. A non-homogeneously spaced array of five Kulite-sensors near the TE at x/c = 0.989 is employed to measure point spectra and spanwise two-point correlations of surface pressure fluctuations. Finally spanwise SPF length-scales are derived as function of frequency. Comparisons to measured TE noise and semi-empirical predictions of surface pressures and far-field noise show very good agreement. It is found, that the proposed method can cover a larger frequency range than standard acoustic measurement techniques. Therefore it can provide valuable assistance in extending spectra obtained conventionally, mainly to low frequencies. Furthermore, pressure and suction side contributions to far-field noise can be obtained separately.

[1]  Lennart Löfdahl,et al.  Silicon Pressure Transducers used to Determine the Longitudinal Correlation Coefficient in a Flat Plate Boundary Layer , 1994 .

[2]  Günter Schewe,et al.  On the structure and resolution of wall-pressure fluctuations associated with turbulent boundary-layer flow , 1983, Journal of Fluid Mechanics.

[3]  M. S. Howe Acoustics of fluid-structure interactions , 1998 .

[4]  Pieter Sijtsma,et al.  CLEAN Based on Spatial Source Coherence , 2007 .

[5]  Thomas F. Brooks,et al.  Airfoil self-noise and prediction , 1989 .

[6]  Ewald Krämer,et al.  Comprehensive evaluation and assessment of trailing edge noise prediction based on dedicated measurements , 2011 .

[7]  Richard M. Lueptow Transducer resolution and the turbulent wall pressure spectrum , 1995 .

[8]  Thorsten Lutz,et al.  Evaluation of Measured Anisotropic Turbulent Two-point Correlation Data for the Accurate Prediction of the Turbulence Noise Sources , 2009 .

[9]  G. Corcos The resolution of turbulent pressures at the wall of a boundary layer , 1967 .

[10]  R. Amiet Noise due to turbulent flow past a trailing edge , 1976 .

[11]  Ivan Marusic,et al.  Wall-Bounded Flows , 2007 .

[12]  Thorsten Lutz,et al.  RANS Based Prediction of Airfoil Trailing Edge Far-Field Noise: Impact of Isotropic and Anisotropic Turbulence , 2008 .

[13]  Ewald Krämer,et al.  NEW CPV-RESULTS OF NACA 0012 TRAILING-EDGE NOISE , 2008 .

[14]  F. Fahy,et al.  Mechanics of flow-induced sound and vibration , 1989 .

[15]  Michaela Herr,et al.  Design Criteria for Low-Noise Trailing-Edges , 2007 .

[16]  M. Giles,et al.  Viscous-inviscid analysis of transonic and low Reynolds number airfoils , 1986 .

[17]  Thorsten Lutz,et al.  Trailing-Edge Noise Measurements Using a Hot-Wire Based Coherent Particle Velocity Method , 2006 .

[18]  M. S. Howe A review of the theory of trailing edge noise , 1978 .

[19]  R. K. Amiet,et al.  Effect of the incident surface pressure field on noise due to turbulent flow past a trailing edge , 1978 .

[20]  D. Wilcox Turbulence modeling for CFD , 1993 .

[21]  Lennart Löfdahl,et al.  Small Silicon Pressure Transducers for Space-Time Correlation Measurements in a Flat Plate Boundary Layer , 1996 .

[22]  M. Goody An experimental investigation of pressure fluctuations in three-dimensional turbulent boundary layers , 1999 .

[23]  M. K. Bull,et al.  High frequency wall‐pressure fluctuations in turbulent boundary layers , 1976 .

[24]  William K. Blake,et al.  Modeling of Wall Pressure Fluctuations Based on Time Mean Flow Field , 2005 .

[25]  Thomas F. Brooks,et al.  A Deconvolution Approach for the Mapping of Acoustic Sources (DAMAS) Determined from Phased Microphone Arrays , 2004 .

[26]  G. Corcos Resolution of Pressure in Turbulence , 1963 .

[27]  Ewald Krämer,et al.  Design and Wind-Tunnel Verification of Low-Noise Airfoils for Wind Turbines , 2006 .

[28]  Jan Werner Delfs,et al.  Enhanced Capabilities of the Aeroacoustic Wind Tunnel Braunschweig , 2008 .

[29]  M. S. Howe Edge-source acoustic Green's function for an airfoil of arbitrary chord, with application to trailing-edge noise , 2001 .

[30]  T. Brooks,et al.  Trailing edge noise prediction from measured surface pressures , 1981 .

[31]  Ewald Krämer,et al.  TRAILING-EDGE NOISE MEASUREMENTS ON NACA 0012 AIRFOILS USING THE COHERENT PARTICLE VELOCITY METHOD , 2008 .