Uniform Statistical Description of the Transition between Near and Far Field Turbulence in a Wake Flow

The transition to fully developed turbulence of a wake flow is investigated on different length scales $r$. It is shown that the $r$ dependence of the velocity increments can be taken as Markov processes even in the case of not fully developed turbulence. The estimation of the deterministic part of these Markov processes shows a pronounced structural change as one passes away from the cylinder, which can be parametrized by a kind of order parameter. We propose that this effect is connected to the presence of large scale coherent structures close to the cylinder.