Simple analytical model for entire turbulent boundary layer over flat plane: from viscous and mixing layers to turbulent logarithmic region

摘要

We discuss a simple analytical model of the turbulent boundary layer (TBL)over flat plane. The model offers an analytical description of the profiles ofmean velocity and turbulent activity in the entire boundary region, from theviscous sub-layer, through the buffer layer further into the log-law turbulentregion. In contrast to various existing interpolation formulas the model allowsone to generalize the description of simple TBL of a Newtonian fluid for morecomplicated flows of turbulent suspensions laden with heavy particles, bubbles,long-chain polymers, to include the gravity acceleration, etc.