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Sound Generation in Plane Couette Flow: A Failure of Lighthill’s Analogy

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Progress in Turbulence V

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 149))

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Abstract

The linearmechanism of acoustic wave generation by initially pure vortex perturbations embedded in a two-dimensional, inviscid and unboundedCouette flow is investigated by Kelvin-mode analysis and direct numerical simulations (DNS). Our results show a misleading representation of the linear sources of aerodynamic sound generation by Lighthill’s acoustic analogy approach, not taking the strong anisotropy of the linear generation of acoustic waves by pure vortex mode perturbations in non-normal shear flow systems into account. DNS confirm the importance of linear sound production in the range of validity of rapid distortion theory (RDT), herein being superior compared to the nonlinear mechanism despite the common opinion.

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References

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Author information

Authors and Affiliations

  1. Chair of Fluid Dynamics, TU Darmstadt, Petersenstr. 30, 64287, Darmstadt, Germany

    Jan-Niklas Hau, George Khujadze & Martin Oberlack

  2. E. Kharadze Abastumani Astrophysical Observatory, Ilia State University, Tbilisi, 0160, Georgia

    George Chagelishvili

  3. Georgia & M. Nodia Institute of Geophysics, Tbilisi State University, Tbilisi, 0128, Georgia

    George Chagelishvili

  4. Faculty of Exact and Natural Sciences, Javakhishvili Tbilisi State University, Tbilisi, 0128, Georgia

    Alexander Tevzadze

Authors
  1. Jan-Niklas Hau
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  2. George Chagelishvili
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  3. George Khujadze
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  4. Martin Oberlack
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  5. Alexander Tevzadze
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Corresponding author

Correspondence to Jan-Niklas Hau .

Editor information

Editors and Affiliations

  1. Department of Industrial Eng. (DIN), Universita di Bologna, Forli, Italy

    Alessandro Talamelli

  2. Department of Mechanical Engineering, TU Darmstadt, Darmstadt, Germany

    Martin Oberlack

  3. Institute of Physics, University of Oldenburg, Oldenburg, Germany

    Joachim Peinke

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Hau, JN., Chagelishvili, G., Khujadze, G., Oberlack, M., Tevzadze, A. (2014). Sound Generation in Plane Couette Flow: A Failure of Lighthill’s Analogy. In: Talamelli, A., Oberlack, M., Peinke, J. (eds) Progress in Turbulence V. Springer Proceedings in Physics, vol 149. Springer, Cham. https://doi.org/10.1007/978-3-319-01860-7_33

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