Improved trailing edge noise prediction using a generalized Rapid-distortion theory approach

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Abstract

Goldstein, Afsar & Leib (J. Fluid Mech., vol. 736, pp. 532-569, 2013) and Goldstein-Leib- Afsar (J Fluid Mech. vol. 824, pp. 477-512) extended the Rapid-distortion theory (RDT) of turbulence to consider mean flows that are transversely sheared in the upstream state. The key feature of the theory was in relating the upstream boundary condition to physically realizable turbulence that can be controlled by an experimentalist. We summarize the theory briefly illustrating how it can be used to model trailing edge noise. We conclude by correcting the high frequency formula that GLA derived to include the next order term for the amplitude function in the WKBJ approximation for the scattered pressure. This term enters the lowest order expansion for the scattered pressure when the hydrodynamic wave number limit is taken. The predictions based on this mathematical representation have greater flexibility at high frequencies.
LanguageEnglish
Title of host publication25th AIAA/CEAS Aeroacoustics Conference
Place of PublicationReston, VA
Number of pages10
DOIs
Publication statusPublished - 18 May 2019
EventAIAA/CEAS Aero-acoustics Conference 2019 - TU Delft, Delft, Netherlands
Duration: 20 May 201923 May 2019
Conference number: AIAA 2019
https://www.nlr.org/aeroacoustics-2019/

Conference

ConferenceAIAA/CEAS Aero-acoustics Conference 2019
CountryNetherlands
CityDelft
Period20/05/1923/05/19
Internet address

Fingerprint

Turbulence
Fluids
Prediction
Fluid
Hydrodynamics
Boundary conditions
Term
Lowest
Flexibility
Approximation
Model

Keywords

  • turbulence theory
  • rapid-distortion theory
  • aero-acoustics
  • trailing edge noise

Cite this

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title = "Improved trailing edge noise prediction using a generalized Rapid-distortion theory approach",
abstract = "Goldstein, Afsar & Leib (J. Fluid Mech., vol. 736, pp. 532-569, 2013) and Goldstein-Leib- Afsar (J Fluid Mech. vol. 824, pp. 477-512) extended the Rapid-distortion theory (RDT) of turbulence to consider mean flows that are transversely sheared in the upstream state. The key feature of the theory was in relating the upstream boundary condition to physically realizable turbulence that can be controlled by an experimentalist. We summarize the theory briefly illustrating how it can be used to model trailing edge noise. We conclude by correcting the high frequency formula that GLA derived to include the next order term for the amplitude function in the WKBJ approximation for the scattered pressure. This term enters the lowest order expansion for the scattered pressure when the hydrodynamic wave number limit is taken. The predictions based on this mathematical representation have greater flexibility at high frequencies.",
keywords = "turbulence theory, rapid-distortion theory, aero-acoustics, trailing edge noise",
author = "Afsar, {Mohammed Z.}",
year = "2019",
month = "5",
day = "18",
doi = "10.2514/6.2019-2712",
language = "English",
isbn = "9781624105883",
booktitle = "25th AIAA/CEAS Aeroacoustics Conference",

}

Afsar, MZ 2019, Improved trailing edge noise prediction using a generalized Rapid-distortion theory approach. in 25th AIAA/CEAS Aeroacoustics Conference. Reston, VA, AIAA/CEAS Aero-acoustics Conference 2019, Delft, Netherlands, 20/05/19. https://doi.org/10.2514/6.2019-2712

Improved trailing edge noise prediction using a generalized Rapid-distortion theory approach. / Afsar, Mohammed Z.

25th AIAA/CEAS Aeroacoustics Conference. Reston, VA, 2019.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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AB - Goldstein, Afsar & Leib (J. Fluid Mech., vol. 736, pp. 532-569, 2013) and Goldstein-Leib- Afsar (J Fluid Mech. vol. 824, pp. 477-512) extended the Rapid-distortion theory (RDT) of turbulence to consider mean flows that are transversely sheared in the upstream state. The key feature of the theory was in relating the upstream boundary condition to physically realizable turbulence that can be controlled by an experimentalist. We summarize the theory briefly illustrating how it can be used to model trailing edge noise. We conclude by correcting the high frequency formula that GLA derived to include the next order term for the amplitude function in the WKBJ approximation for the scattered pressure. This term enters the lowest order expansion for the scattered pressure when the hydrodynamic wave number limit is taken. The predictions based on this mathematical representation have greater flexibility at high frequencies.

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