Statistical Approach to Inhomogeneous Turbulence with Unidirectional Mean Flow. II. Mean Velocity Profile in a Channel Flow

This paper studies turbulent flow in a channel. From a general formula for Reynolds stress given in paper I, mean velocity profiles are examined in the equilibrium layer near the wall and in the central region, respectively. Results obtained are that (1) in the equilibrium layer with constant Reynolds stress, the logarithmic velocity profile is derived and (2) in the central region with constant energy dissipation, the flattened parabolic profile is found, with its flattening determined by the Reynolds number of turbulence.