Inertial range skewness of the longitudinal velocity derivative in locally isotropic turbulence

S. Sukoriansky, E. Kit, E. Zemach, S. Midya, and H. J. S. Fernando
Phys. Rev. Fluids 3, 114605 – Published 16 November 2018

Abstract

Longitudinal velocity-derivative skewness S0 is directly proportional to the rate of enstrophy generation and hence is a key parameter for characterizing small-scale turbulence. Obtaining S0 requires accurate measurements of the finest scales in the dissipation subrange. In this paper we define a derivative skewness of the inertial range scales that is readily accessible experimentally, and we derive its value analytically. The results depend on the filtering procedure of small scales. Analytically derived inertial range skewness is compared with those computed by high-resolution numerical simulations and obtained in laboratory and field experiments. An alternative definition of the derivative skewness in the full and the inertial range scales is examined to identify the effects of intermittency.

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  • Received 7 May 2018

DOI:https://doi.org/10.1103/PhysRevFluids.3.114605

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsFluid Dynamics

Authors & Affiliations

S. Sukoriansky1,2,*, E. Kit2,3, E. Zemach4, S. Midya2, and H. J. S. Fernando2,5

  • 1Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel
  • 2Department of Civil and Environmental Engineering and Earth Sciences, University of Notre Dame, Notre Dame, Indiana 46530, USA
  • 3School of Mechanical Engineering, Tel Aviv University, Tel Aviv 69978, Israel
  • 4SOREQ Nuclear Research Center, Israel
  • 5Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46530, USA

  • *semion@bgu.ac.il

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Issue

Vol. 3, Iss. 11 — November 2018

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