Statistical Approach to Inhomogeneous Turbulent Diffusion: General Formulation and Diffusion of a Passive Scalar in Wall Turbulence

Abstract

Analysis is made of inhomogeneous turbulent diffusion of a passive scalar in the presence of mean scalar and velocity fields. A general expression is found for the scalar-velocity covariance by means of the statistical approach to inhomogeneous turbulence recently developed by the author. Using the expression, the mean scalar field in wall turbulence is examined to find the logarithmic scalar profile, with good agreement with experimental findings.