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Impact of Forward-Facing Steps on Laminar-Turbulent Transition in Subsonic Flows

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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

The influence of forward-facing steps on laminar-turbulent transition is studied with both direct numerical simulation and linear stability theory. \(N\)-factor envelopes are calculated for inflow Mach numbers \(0.15\) and \(0.8\) at varying step positions and step heights. Very good agreement between direct numerical simulation and linear stability theory is archived. By comparing \(N\)-factor envelopes with and without step, the impact of steps can be captured by an additional amplification factor \(\varDelta N\) in the \(e^{N}\) method. It is found that \(\varDelta N\) is a function of streamwise position, step location, step height and Mach number.

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Notes

  1. 1.

    In case \(4\), the first separation bubble is very small and no second separation zone can be found.

  2. 2.

    Note the small letter used here, in contrast to the capital letter used for the envelope later on.

  3. 3.

    Perraud et al. conducted a numerical study. They first calculated a baseflow with an incompressible method and calculated N-factors by a subsequent stability analysis.

  4. 4.

    This is a case used by Perraud et al. to establish their correlation.

References

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Authors and Affiliations

  1. Universität Stuttgart, Institut für Aerodynamik und Gasdynamik, Pfaffenwaldring 21, 70569, Stuttgart, Germany

    Christopher Edelmann & Ulrich Rist

Authors
  1. Christopher Edelmann
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  2. Ulrich Rist
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Correspondence to Christopher Edelmann .

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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Edelmann, C., Rist, U. (2014). Impact of Forward-Facing Steps on Laminar-Turbulent Transition in Subsonic Flows. 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_16

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  • DOI: https://doi.org/10.1007/978-3-319-03158-3_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03157-6

  • Online ISBN: 978-3-319-03158-3

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