The influence of Eulerian and Lagrangian scales on the turbulent relative dispersion is investigated through a three-dimensional Eulerian consistent Lagrangian stochastic model. As a general property of this class of models, it is found to depend solely on a parameter β based on the Kolmogorov constants $C_K$ and $C_0.$ This parameter represents the ratio between the Lagrangian and Eulerian scales and is related to the intrinsic inhomogeneity of the relative dispersion process. In particular, the quantity $g^{*}{=g/C}_0$ (where g is the Richardson constant) and the temporal extension of the $t^3$ regime are found to be strongly dependent on the value adopted for $\beta .$

• Received 22 September 2003

DOI:https://doi.org/10.1103/PhysRevE.69.037301