Transition between viscous and inertial-range scaling of turbulence structure functions

The transition of velocity structure functions between the viscous and inertial range is examined by assuming a plausible interpolation formula for the required scaling functions. This analysis shows that the recently observed phenomenon of extended self-similarity (ESS) is consistent with assuming that the cutoff length decreases with increasing order of the moment. A revised multifractal formalism is used to quantify this dependence of cutoff scale on the order of the moment. At low and intermediate Reynolds numbers, the proposed mechanism predicts ESS, as well as some additional subtle trends that are experimentally observed. However, at large Reynolds numbers, the shift in cutoff scale predicted by the multifractal formalism becomes too large to be consistent with ESS.