An inertial range length scale in structure functions

Abstract

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.

25 pages, 9 figures

References in corpus (8)

• The Extraction of Anisotropic Contributions in Turbulent Flows
• A Refined Similarity Hypothesis for Transverse Structure Functions
• Kolmogorov equation in fully developed turbulence
• Multiscale velocity correlations in turbulence
• Statistics of Dissipation and Enstrophy Induced by a Set of Burgers Vortices
• Longitudinal Structure Functions in Decaying and Forced Turbulence
• Enstrophy and dissipation must have the same scaling exponent in the high Reynolds number limit of fluidturbulence
• Pressure spectrum and structure function in homogeneous turbulence

Cited by in corpus (4)

• Anisotropy in Turbulent Flows and in Turbulent Transport
• The effect of Reynolds number on inertial particle dynamics in isotropic turbulence. Part I: Simulations without gravitational effects
• The nature of turbulence in OMC1 at the star forming scale: observations and simulations
• Length Scales of Acceleration for Locally Isotropic Turbulence