Inertial logarithmic layer properties and self-similar mean dynamics

Abstract

Turbulent boundary layers contain a region where the mean velocity profile is well-approximated by a logarithmic function. This region is often viewed as constituting an inertial sublayer in physical space. Empirical evidences indicate that a number of other statistical properties exhibit characteristic behaviors on this inertial domain. The present study continues the investigation of these properties and their correlation with the self-similar structure admitted by the mean dynamical equation. Particular emphases pertain to the properties on the inertial layer, the bounds of the domain where these characteristic properties exist, and how these bounds compare with the analytically estimated..