Special Section Articles

Constant Flux States in Anisotropic Turbulence

[+] Author and Article Information
Robert Rubinstein

Research Scientist
Computational AeroSciences Branch,
NASA Langley Research Center,
Hampton, VA 23681
e-mail: r.rubinstein@nasa.gov

Ye Zhou

Lawrence Livermore National Laboratory,
University of California,
Livermore, CA 94551
e-mail: zhou3@llnl.gov

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 30, 2013; final manuscript received December 13, 2013; published online April 28, 2014. Assoc. Editor: Ye Zhou.

J. Fluids Eng 136(6), 060914 (Apr 28, 2014) (3 pages) Paper No: FE-13-1278; doi: 10.1115/1.4026283 History: Received April 30, 2013; Revised December 13, 2013

An elementary closure theory is used to compute the scaling of anisotropic contributions to the correlation function in homogeneous turbulence. These contributions prove to decay with wavenumber more rapidly than the energy spectrum; this property is sometimes called the “recovery of isotropy” at small scales and is a key hypothesis of the Kolmogorov theory. Although comparisons with a more comprehensive theory suggest that the present theory is too crude, its elementary character makes the scaling analysis straightforward. The analysis reveals some characteristic features of anisotropic turbulence, including “angular” energy transfer in wavevector space.

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