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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Trailing-edge noise from the scattering of spanwise-coherent structures

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Author(s):
Sano, Alex [1] ; Abreu, I, Leandra ; Cavalieri, Andre V. G. [2] ; Wolf, William R. [3]
Total Authors: 4
Affiliation:
[1] Inst Tecnol Aeronaut, Div Engn Aeronaut, Sao Jose Dos Campos, SP - Brazil
[2] Abreu, Leandra, I, Inst Tecnol Aeronaut, Div Engn Aeronaut, Sao Jose Dos Campos, SP - Brazil
[3] Univ Estadual Campinas, Fac Engn Mecan, Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: PHYSICAL REVIEW FLUIDS; v. 4, n. 9 SEP 12 2019.
Web of Science Citations: 0
Abstract

A large-eddy simulation of turbulent, compressible flow around a NACA 0012 airfoil at zero angle of attack and Mach number 0.115 is used to study mechanisms of trailing-edge noise. The boundary layers at both sides of the airfoil have a forced transition near the airfoil leading edge, and are turbulent near the trailing-edge. Flow-acoustic correlations and spectral (frequency-domain) proper orthogonal decomposition (SPOD) are used to evaluate turbulent structures that are relevant for the radiated sound. Homogeneity in the spanwise direction allows application of a Fourier decomposition in span prior to both correlations and SPOD. It is known that acoustic theory, based on an analysis of the tailored Green's function modeling trailing-edge scattering, shows that only spanwise wave numbers k(z) satisfying k(z) < k, where k is the acoustic wave number, lead to radiated sound; two-dimensional disturbances (k(z) = 0) always satisfy this criterion, and thus spanwise-coherent structures are expected to be important for trailing-edge noise. Analysis of turbulence statistics of the boundary layer close to the trailing edge shows that the well-known, dominant streaky structures have k(z) > k and thus should not contribute to the radiated sound. To investigate this further using simulation data, flow-acoustic correlations are obtained using either the standard two-point analysis or considering two-dimensional disturbances in velocity and pressure fields, and results show significant correlation coefficients (of about 0.5) once two-dimensional disturbances near the trailing edge are isolated. A further increase of correlation peaks (up to 0.7) is obtained once the antisymmetric parts of the fields is considered, reflecting the classical antisymmetric nature of trailing-edge scattering. SPOD is then used for frequencies around the peak radiated sound to examine the structure of two-dimensional disturbances in the trailingedge region and their contribution to radiated sound. Leading SPOD modes show coherent hydrodynamic waves propagating from the region of boundary-layer tripping toward the trailing edge, characterizing a noncompact source akin to wave packets seen in turbulent jets. These leading SPOD modes have significant contribution to the radiated sound, as two modes lead to 50% of the acoustic intensity for the lower studied frequencies. The present results point to the scattering of spanwise-coherent boundary-layer structures as the dominant mechanism of trailing-edge noise in this flow. (AU)

FAPESP's process: 13/03413-4 - Investigation of noise generation and propagation by aerodynamic configurations using computational aeroacoustics
Grantee:William Roberto Wolf
Support Opportunities: Research Grants - Young Investigators Grants