The surface renewal model of wall turbulence for boundary layer flow with transpiration

The object of this paper is to develop and evaluate the basic surface renewal modeling approach for transpired turbulent boundary layer flows. Using a simple form of the surface renewal model in conjunction with the standard mixing length representation of the turbulent core, calculations are established for the dimensionless burst frequency s⁺, and distributions in velocity u⁺ within the inner region as a function of transpiration rate v⁺ and pressure gradient P⁺.