An inertial range length scale in structure functions

Details An inertial range length scale in structure functions An inertial range length scale in structure functions

2000-05-03

arxiv.org/abs/physics/0005004v1

Physics

Fluid Dynamics

25 pages, 9 figures

Scientific paper

10.1063/1.1373683

It is shown using experimental and numerical data that within the traditional inertial subrange defined by where the third order structure function is linear that the higher order structure function scaling exponents for longitudinal and transverse structure functions converge only over larger scales, $r>r_S$, where $r_S$ has scaling intermediate between $\eta$ and $\lambda$ as a function of $R_\lambda$. Below these scales, scaling exponents cannot be determined for any of the structure functions without resorting to procedures such as extended self-similarity (ESS). With ESS, different longitudinal and transverse higher order exponents are obtained that are consistent with earlier results. The relationship of these statistics to derivative and pressure statistics, to turbulent structures and to length scales is discussed.

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