The effects of pressure gradients on turbulent flow near a smooth wall

Abstract

A dimensional argument is presented leading to a functional form for the effective viscosity which embraces the hypothesis of a previous paper (Mellor & Gibson 1966; hereafter referred to as paper A) in the defect portion of a turbulent boundary layer. The new argument also suggests a way of determining the effective viscosity in the viscous sublayer when the flow is subjected to mainstream pressure gradients.It will be shown that the large wall-velocity profiles and the defect-velocity profiles automatically overlap, even in the absence of a logarithmic portion. It will be shown further that equilibrium flows are uniquely determined by β andR.