Two-Point Correlations and POD Analysis of the WALLTURB Experiment Using the Hot-Wire Rake Database

  • Murat Tutkun
  • William K. George
  • Michel Stanislas
  • Joel Delville
  • Jean-Marc Foucaut
  • Sebastien Coudert
Part of the ERCOFTAC Series book series (ERCO, volume 14)

Abstract

We use the novel hot-wire rake of 143 single wire probes to measure 30 cm thick boundary layer of the large LML wind tunnel at Reynolds number based on momentum thickness of 9800 and 19 100. Multiple-point cross-correlation analysis using the data from the hot-wire rake show that the physical length of the correlation contour in the streamwise direction is about 7 boundary layer thickness. In addition, the shape of the correlations maps obtained from two-point correlations on the streamwise–wall-normal plane retains its shape approximately throughout the entire boundary layer. The data is also used for POD analysis of the boundary layer using only the streamwise turbulent fluctuations. The normalized eigenvalue distribution shows that the first POD mode has more than 40% of the turbulence kinetic energy, while the second one has about 20% of the total turbulence kinetic energy for both of the Reynolds number tested here. It is possible to recover about 90% of the kinetic energy only using the first four POD modes. The reconstructed velocity fluctuations on the spanwise–wall-normal plane show how organized motions of turbulence with significant amounts of energy interact with each other across the boundary layer. It is also possible to observe the strength of the interaction between the inner and outer layer using these reconstructed velocity fields.

Keywords

Turbulence Kinetic Energy Turbulent Boundary Layer Proper Orthogonal Decomposition Spanwise Direction Reynolds Number Dependence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This work has been performed under the WALLTURB project. WALLTURB (A European synergy for the assessment of wall turbulence) is funded by the CEC under the 6th framework program (CONTRACT No: AST4-CT-2005-516008). M. Tutkun acknowledges the partial support by the Center of Excellence grant from the Norwegian Research Council to the Center for Biomedical Computing at Simula Research Laboratory.

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Murat Tutkun
    • 1
  • William K. George
    • 2
  • Michel Stanislas
    • 3
  • Joel Delville
    • 4
  • Jean-Marc Foucaut
    • 3
  • Sebastien Coudert
    • 3
  1. 1.Norwegian Defence Research EstablishmentKjellerNorway
  2. 2.Dept. of Applied MechanicsChalmers University of TechnologyGothenburgSweden
  3. 3.Laboratoire de Mécanique de Lille, UMR CNRS 8107Villeneuve d’AscqFrance
  4. 4.Laboratoire d’Etudes Aérodynamiques, UMR CNRS 6609, ENSMAPoitiersFrance

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