Near-Wall Similarity in a Pressure-Driven Three-Dimensional Turbulent Boundary Layer

Abstract

Ten of eleven three-dimensional near-wall similarity models identified in the literature are evaluated with direct wall shear, velocity field, and pressure gradient data from a three-dimensional pressure-driven boundary layer flow. In a primary focus in the interval 50<y+ <300 graphical results indicate that six simpler models and the streamwise component of one complex model are adequate for profiles with monotone increasing skew up to about 15 deg. The three remaining complex models provide a better predictive capability (for the main flow component) for monotone increasing skew up to almost 20 deg but these require significantly more input. One of three transverse models shows reasonably good predictive capability. Similar general results also appear for profiles with increasing-decreasing skew as occurs with freestream streamline recurvature with the maximum skew limited to about 10 deg. In a secondary focus in the interval of y+ <50 there is a very strong tendency for the data to follow the well accepted, two-dimensional like behavior often identified with a transition or buffer region below the two-dimensional log-like law.