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A Separated Flow Model for Semi-Empirical Prediction of Trailing Edge Noise

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New Results in Numerical and Experimental Fluid Mechanics IX

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 124))

Abstract

An accurate description of the mean flow, the rms values, and spectral distributions of the separated boundary layer fluctuating velocities plays an important role in predicting trailing edge far field noise. A possible method for describing the mean and rms quantities based on a modification of Coles’ law of the wake and Prandtl’s mixing length theory is presented. The model is validated against related experiments from literature and new measurements conducted at DLR Braunschweig. Additionally, a comparison between the von Kármán spectrum for isotropic turbulence and the measured spectra inside the separated boundary layer is given. The results strongly suggest that the spectra as well as the mean and rms values of the separated flow can be modeled with the proposed approaches.

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Notes

  1. 1.

    \(k\) norm of the wavenumber, \(k_{0}=\omega /c\) with c speed of sound, and \(\omega \) circular frequency, \(\delta \) boundary layer thickness

  2. 2.

    \({\varvec{k}}\) = \((k_{1},k_{2},k_{3})\) wave numbers in \(i\)-direction, U mean flow in 1-direction; \(\widetilde{ }\) denotes a Fourier transformed quantity, \(y_{2}\), \(y_{2}'\) wall normal coordinate

  3. 3.

    \(U_{c}\) convection velocity

References

  1. Brooks, T.F., Pope, D.S., Marcolini, M.A.: Airfoil Self-Noise and Prediction p. 1218. NASA Reference, Publication, NASA (1989)

    Google Scholar 

  2. NWTC Design Codes (NAFNoise by Pat Moriaty). http://wind.nrel.gov/DesignCodes/simulators/NAFNoise/.. Accessed 04 Dec 2006

  3. Chase, D.M.: Noise radiated from an edge in turbulent flow. AIAA J. 13(8), 1041 (1975)

    Article  MATH  MathSciNet  Google Scholar 

  4. Blake, W.K.: Mechanics of Flow-Induced Sound and Vibration, vol. I+II, Applied Mathematics and Mechanics, vol. 17(1). Academic Press, Inc., New York (1986)

    Google Scholar 

  5. Blake, W.K.: David Taylor Naval Ship Research and Development Center, Report 4241 (1975)

    Google Scholar 

  6. White, E.B.: Viscous Fluid Flow. McGraw Hill, New York (2002)

    Google Scholar 

  7. Wadcock, A.J.: NASA contractor report 3283 (1980)

    Google Scholar 

  8. Gleyzes, C., Capbern, P.: Experimental study of two AIRBUS/ONERA airfoils in near stall conditions Part I: Boundary layers. Aerosp. Sci. Technol. 7, 439–449 (2003)

    Article  Google Scholar 

  9. Thompson, B.E., Whitelaw, J.H.: Characteristics of a trailing-edge flow with turbulent boundary layer separation. J. Fluid Mech. 157, 305–326 (1985)

    Article  Google Scholar 

  10. Simpson, R.L., Chew, Y.-T., Shivaprasad, B.G.: The structure of a separating turbulent boundary layer. Part 1. Mean flow and Reynolds stresses. J. Fluid Mech. 113, 23–51 (1981)

    Article  Google Scholar 

  11. Gamard, S.: A new similarity analysis of the turbulence energy spectrum. Master Thesis Department of Mechanical and Aerospace Engineering, Graduate School of the State University of New York, Buffalo (1999)

    Google Scholar 

  12. Kamruzzaman, M., Lutz, T., Herrig, A., Kraemer, E.: Semi-empirical modeling of turbulence anisotropy for airfoil self-noise predictions. AIAA J. 50(1), (2012)

    Google Scholar 

  13. Parchen, R.: Progress report DRAW: a prediction scheme for trailing-edge noise based on detailed boundary-layer characteristics. TNO Report HAG-RPT-980023, TNO Institute of Applied Physics, The Netherlands (1998)

    Google Scholar 

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Acknowledgments

The author would like to gratefully acknowledge the sponsorship through GE Wind Energy GmbH.

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Authors and Affiliations

  1. German Aerospace Center e.V. (DLR), Institute of Aerodynamics and Flow Technology, Lilienthalplatz 7, 38108 , Braunschweig, Germany

    Chan Yong Schuele & Karl-Stéphane Rossignol

Authors
  1. Chan Yong Schuele
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  2. Karl-Stéphane Rossignol
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Corresponding author

Correspondence to Chan Yong Schuele .

Editor information

Editors and Affiliations

  1. Institut für Aerodynamik und Strömungstechnik, German Aerospace Center (DLR), Göttingen, Germany

    Andreas Dillmann

  2. Airbus Deutschland, Bremen, Germany

    Gerd Heller

  3. Institut für Aerodynamik und Gasdynamik, University of Stuttgart, Stuttgart, Germany

    Ewald Krämer

  4. Deutsches Zentrum für Luft-und Raumfahrt (DLR), Institut für Aerodynamik und Strömungstechnik, Göttingen, Germany

    Hans-Peter Kreplin

  5. Institut für Luft- und Raumfahrt, TU Berlin, Berlin, Germany

    Wolfgang Nitsche

  6. Institut für Aerodynamik und Gasdynamik, University of Stuttgart, Stuttgart, Germany

    Ulrich Rist

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Schuele, C.Y., Rossignol, KS. (2014). A Separated Flow Model for Semi-Empirical Prediction of Trailing Edge Noise. In: Dillmann, A., Heller, G., Krämer, E., Kreplin, HP., Nitsche, W., Rist, U. (eds) New Results in Numerical and Experimental Fluid Mechanics IX. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 124. Springer, Cham. https://doi.org/10.1007/978-3-319-03158-3_65

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  • DOI: https://doi.org/10.1007/978-3-319-03158-3_65

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03157-6

  • Online ISBN: 978-3-319-03158-3

  • eBook Packages: EngineeringEngineering (R0)

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