DNS of Couette Flows With Wall Transpiration up to \(Re_\tau =1000\)

  • Stefanie KrahebergerEmail author
  • Sergio Hoyas
  • Martin Oberlack
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 196)


We present a new set of direct numerical simulation data of turbulent plane Couette flow with constant wall-normal transpiration velocity \(V_0\), i.e. permeable boundary conditions, such that there is blowing on the lower side and suction on the upper. Hence, there is no net change in flux to preserve periodic boundary conditions in streamwise direction. Simulations were performed at \(Re_\tau =250, 500, 1000\) with varying transpiration rates in the range of \(V_0^+\approx \) 0.03–0.07. Additionally, a classical Couette flow case at \(Re_\tau =1000\) is presented for comparison. Regarding the mean velocity profile, we found a considerably extended logarithmic region with constant indicator function at \(\kappa = 0.77\) as transpiration increases. Turbulent intensities are observed to decrease with increasing transpiration rate. Mean velocities and intensities collapse only in the cases where the transpiration rate is kept constant, while they are largely insensitive to friction Reynolds number variation. The statistics of these simulations can be downloaded from the webpage of the Chair of Fluid Dynamics.



This work was supported by the German Science Foundation (DFG) under the Grant Number OB96/39-1. SH was partially supported by project ENE2015-71333-R. The work of SK is supported by the ‘Excellence Initiative’ of the German Federal and State Governments and the Graduate School of Computational Engineering at TU Darmstadt. The computations of the new simulations were made possible by a generous grant of computing time from the SuperMUC Petascale System at the Leibniz Supercomputing Centre (LRZ) under project-ID pr92la.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Stefanie Kraheberger
    • 1
    • 2
    Email author
  • Sergio Hoyas
    • 3
  • Martin Oberlack
    • 1
    • 2
  1. 1.Chair of Fluid Dynamics, TU DarmstadtDarmstadtGermany
  2. 2.Graduate School of Excellence Computational Engineering (GSCE), TU DarmstadtDarmstadtGermany
  3. 3.Instituto de Matemática Pura y Aplicada, Universitat Politècnica de ValènciaValenciaSpain

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