The dynamics of the Reynolds stress tensor is determined by an evolution equation coupling geometrical effects and turbulent source terms. The effects of the mean flow geometry are shown up when the source terms are neglected. Then, the Reynolds stress tensor is expressed as the sum of three tensor products of vector fields, which are governed by a distorted gyroscopic equation. Along the mean flow trajectories and in the directions of the vector fields, the fluctuations of velocity are determined by differential equations whose coefficients depend only on the mean flow deformation.
展开▼
