Investigation of scaling laws in a turbulent boundary layer flow with adverse pressure gradient using PIV

Abstract

We present an experimental investigation and data analysis of a turbulent boundary layer flow at a significant adverse pressure gradient at Reynolds number up to Re-theta=10000. We combine large-scale PIV with microscopic PIV for measuring the near wall region including the viscous sublayer. We investigate scaling laws for the mean velocity and for the total shear stress in the inner layer. In the inner part the mean velocity can be fitted by a log-law. In the outer part of the inner layer the log-law ceases to be valid. Instead, a modified log-law gives a good fit, which is given in terms of the pressure gradient parameter and a parameter for the mean inertial effects. Finally we describe and validate a simple quantitative model for the total shear stress distribution which is local in wall-normal direction without streamwise history effects.