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Research Papers: Fundamental Issues and Canonical Flows

A Unified Methodology to Evaluate the Radiated Noise Due to Turbulent Boundary Layer Flows

[+] Author and Article Information
Sylvain Morilhat

ONERA-DMPE,
2 Avenue E. Belin,
Toulouse 31000, France
e-mail: sylvain.morilhat@onera.fr

François Chedevergne

ONERA-DMPE,
2 Avenue E. Belin,
Toulouse 31000, France
e-mail: francois.chedevergne@onera.fr

Frank Simon

ONERA-DMPE,
2 Avenue E. Belin,
Toulouse 31000, France
e-mail: frank.simon@onera.fr

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 26, 2018; final manuscript received September 25, 2018; published online December 12, 2018. Assoc. Editor: Samuel Paolucci.

J. Fluids Eng 141(6), 061201 (Dec 12, 2018) (11 pages) Paper No: FE-18-1297; doi: 10.1115/1.4041611 History: Received April 26, 2018; Revised September 25, 2018

For vibro-acoustic applications, a turbulent wall pressure (TWP) fluctuations model was derived. The model is based on the resolution of Poisson's equation. The pressure is characterized in time and space through its spectrum in the frequency wave-number domain. The developed model follows trends commonly observed using Corcos model in a large frequency range but also shows new behaviors for low and high frequencies. The radiated noise due to TWP fluctuations is then computed in accordance with the form of the TWP spectrum. A specific computational methodology is proposed to perform the calculation without introducing limiting hypothesis on the radiated impedance.

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Figures

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Fig. 1

Turbulence filters evolutions with respect to kx in a semi-logarithmic plot

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Fig. 2

Advection filter evolution with respect to kx

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Fig. 3

Comparison of the bandwidths of the filters

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Fig. 4

Frequency dependency of ϕpp in a logarithmic representation

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Fig. 5

Frequency dependency of ϕpp in a semi-logarithmic representation

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Fig. 6

Compensate frequency dependency of ωϕpp in a semi-logarithmic representation

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Fig. 7

Sketch of the three-branch diagram

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Fig. 8

Normalized modal function wmn evolution with respect to kx

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Fig. 9

Longitudinal dependency of Φpp(k,ω) for a TBL with Ue = 50 ms− 1 and Rθ=3540

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Fig. 10

Radiated noise by mode (1,1)

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Fig. 11

Radiated noise by mode (1,1) at the natural frequency

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