Near-wall velocity profile with adaptive shape functions for turbulent forced convection

This article applies Reichardt's velocity profile to turbulent convection analysis. In contrast to a conventional law-of-the-wall formulation with three regions, a single profile represents the entire region from the viscous sublayer to the fully turbulent region. Special shape functions are developed for this profile in a hybrid finite element/volume formulation, together with dissipation rate boundary conditions, which are consistent with the velocity profile modeling. Applications to turbulent channel flow are successfully predicted with a k−ɛ turbulence model.