Wall-layer model for the velocity profile in turbulent flows

Abstract

In the calculation of turbulent flows near walls, a substantial amount of mesh points and computational effort is required to adequately resolve the intense velocity profile variations in the near-wall region. In this study, a profile approximation is obtained for the mean velocity that is based upon consideration of the coherent structure of the time-dependent wall-layer flow. The profile approximation is an analytical formula that satisfies all of the required compatibility conditions at the wall and the logarithmic behavior at the edge of the wall layer. A general method for utilizing the present wall-layer profile model in a prediction method is indicated.