DNS of Couette Flows With Wall Transpiration up to \(Re_\tau =1000\)
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 http://www.fdy.tu-darmstadt.de/fdy/fdyresearch/dns/direkte_numerische_simulation.en.jsp 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.