Eighth International Symposium on Turbulence and Shear Flow Phenomena
DOI: 10.1615/TSFP8
NEW SCALING LAWS FOR TURBULENT POISEUILLE FLOW WITH WALL TRANSPIRATION
pages 1-6
DOI: 10.1615/TSFP8.1500
SINOPSIS
A fully developed, turbulent Poiseuille flow with wall transpiration (see figure 1), i.e. uniform blowing and suction on the lower and upper walls correspondingly, is investigated by both direct numerical simulation (DNS) of the three-dimensional, incompressible Navier-Stokes equations and Lie symmetry analysis. A new logarithmic mean velocity scaling law of wake type is found in the core region of the flow. The slope constant in the core region differs from the von Karman constant and is equal to 0.3. Extended forms of the linear viscous sublayer law and the near-wall log-law are also derived, which, as a particular case, include these laws for the classical non-transpirating channel flow.