A note on the logarithmic velocity profile in turbulent boundary layers
Abstract
An analytical model is developed for the mean velocity distribution in the equilibrium region of a flow near the wall. The turbulence structure and the mean velocity field are conceptualized as being selfadjusting through transport of the mean kinetic energy into the viscous sublayer, where it can dissipate. The energy transport to the wall then becomes a function of the mean dissipation and the distance from the wall. The formulation was applied to a high Reynolds number flow for which hot wire anemometry had already been obtained, and showed good agreement with the mean velocity profile in the equilibrium region near the wall in a turbulent boundary layer.
 Publication:

Letters Heat Mass Transfer
 Pub Date:
 December 1982
 Bibcode:
 1982LHMT....9..517B
 Keywords:

 Equilibrium Flow;
 Flow Theory;
 Flow Velocity;
 Turbulent Boundary Layer;
 Velocity Distribution;
 Wall Flow;
 Energy Transfer;
 Kinetic Theory;
 Logarithms;
 Fluid Mechanics and Heat Transfer