A note on the logarithmic velocity profile in turbulent boundary layers

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 self-adjusting 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.