NEW MEAN VELOCITY SCALING LAWS FOR TURBULENT POISEUILLE FLOW WITH WALL TRANSPIRATION

A new mean velocity scaling law for a turbulent Poiseuille flow with wall transpiration was found using Lie group analysis and validated thereafter using DNS. The region of validity covers the whole core region of the channel. Though the scaling law is of log type the slope constant differs from the von Karman constant and is equal to 0.3. Further, extended forms of the linear viscous sublayer law and the near-wall log-law have been derived, which, as a particular case, include the laws related to the wall-bounded flows without transpiration.