Wall turbulence (in external and internal flows)

The manner in which high Reynolds number turbulent flow interacts with solid surfaces and the way turbulence is modified in the vicinity of a solid wall is of paramount theoretical and practical importance. The law of the wall and its logarithmic component is generally accepted, by most experts. Landau, guided by the experiments of Prandtl’s team, gave a theoretical argument for the validity of the logarithmic law. However, no agreement on the values of the log-law parameters exists. This is of tremendous practical importance since the design of man-made devices, planes, ships, cars and hydraulic structures is based on the knowledge of these parameters especially in the Reynolds-Averaged NavierStokes (RANS) with wall functions formulation. In this work we try to quantify the scatter of the log-law parameter values and, if possible, to reconcile the Direct Numerical Simulation (DNS) results with the experimental measurements.