Some Remarks on Scaling and Universality in Turbulence

Jürgen Schmiegel


The relation between universality and temporal and spatial scaling of structure-functions and moments of the coarse-grained energy dissipation in turbulence is studied for flows where the Taylor Frozen Flow Hypothesis holds exactly. To account for observed deviations from a strict scaling law, we conclude that non-constant scaling exponents depend on the mean flow $U$. Furthermore, spatial and temporal scaling exponents are identical if and only if they are constant.