Three-Dimensional Structure of Pressure–Velocity Correlations in a Turbulent Boundary Layer

  • Yoshitsugu NakaEmail author
  • Michel Stanislas
  • Jean-Marc Foucaut
  • Sebastien Coudert
  • Jean-Philippe Laval
Conference paper
Part of the ERCOFTAC Series book series (ERCO, volume 23)


Three-dimensional pressure–velocity correlations in a turbulent boundary layer have been investigated to understand the relationship between the pressure fluctuations and the coherent structures. Simultaneous measurements of the fluctuating pressure and velocity fields have been performed by the point pressure measurement technique and stereo PIV. The space–time three-dimensional structures of the pressure–velocity correlations, \(R_{pu}\), \(R_{pv}\)  and \(R_{pw}\), are evaluated. The wall pressure fluctuations are closely coupled with large-scale coherent structures, i.e., large-scale sweep and ejection. For the pressure fluctuations in the field, the pressure–velocity correlations \(R_{pu}\) and \(R_{pw}\) exhibit a meaningful correlation in a region very extended in time in addition to the structures observed with the wall pressure. The Reynolds number effect is quantified from the data at \(Re_\theta \) \(=\) 7 300, 10 000, and 18 000, it is mostly evidenced on the size and intensity of the correlations. Such 3D structures of the pressure–velocity correlations can be consistent with the evidence of large-scale and very-large-scale motions reported in the literature.


Turbulent Boundary Layer Pressure Fluctuation Boundary Layer Thickness Streamwise Velocity Wall Pressure 
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We are thankful to the “Conseil Régional Nord Pas de Calais” for providing a fellowship to Y. Naka which allowed to perform this experiment. The present research work was also supported by International Campus on Safety and Intermodality in Transportation, the European Community, the Regional Delegation for Research and Technology, the Ministry of Higher Education and Research, and the National Center for Scientific Research.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Yoshitsugu Naka
    • 1
    Email author
  • Michel Stanislas
    • 2
  • Jean-Marc Foucaut
    • 2
  • Sebastien Coudert
    • 3
  • Jean-Philippe Laval
    • 3
  1. 1.Tokyo Institute of TechnologyTokyoJapan
  2. 2.Laboratoire de Mécanique de Lille, Ecole Centrale de LilleUniversité Lille Nord de FranceVilleneuve d’ascqFrance
  3. 3.CNRS Laboratoire de Mécanique de LilleUniversité Lille Nord de FranceVilleneuve d’ascqFrance

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