Abstract
Within the framework of multifractal models of turbulence, regarding velocity increments and locally averaged energy dissipation together with their extension to the dissipation range, the following is shown. (1) If the one-dimensional surrogate for energy dissipation is correct, then the Kolmogorov-Oboukhov refined similarity hypothesis follows as a consistency condition between the two frameworks. (2) Validity of the one-dimensional surrogate is discussed under an added assumption that the higher-order moments of lateral and longitudinal derivatives have identical scaling. The two scaling exponents can be related in the form of an inequality for the full three-dimensional energy dissipation.
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