High-order structure functions for passive scalar fed by a mean gradient

The equations are further analysed to show that the similarity scales (i.e., variables which allow for perfect collapse of the normalised terms in the equations) are, for second-order moments, fully consistent with Kolmogorov-Obukhov-Corrsin (KOC) theory. However, for higher-order moments, adequate similarity scales are built from ⟨χn⟩. The similarity is tenable for the dissipative range, and the beginning of the scaling range.