On the use of Kolmogorov-Landau approach in deriving various correlation functions in 2-D incompressible turbulence

We look at various correlation functions, which include those that involve both the velocity and the vorticity fields, in 2-D isotropic homogeneous decaying turbulence.We adopt the more intuitive approach due to Kolmogorov (and subsequently, Landau in his text on fluid dynamics) and show that how th...

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Bibliographic Details
Published inarXiv.org
Main Author Chakraborty, Sagar
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 25.04.2007
Subjects
Correlation
Fluid dynamics
Fluid flow
Incompressible flow
Regression analysis
Turbulence
Vorticity
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Summary:We look at various correlation functions, which include those that involve both the velocity and the vorticity fields, in 2-D isotropic homogeneous decaying turbulence.We adopt the more intuitive approach due to Kolmogorov (and subsequently, Landau in his text on fluid dynamics) and show that how the 2-D turbulence results, obtainable using other methods, may be established in a simpler way.Also, some experimentally verifiable correlation functions in the dissipation range have been derived for the same system.The paper also showcases the inability of the Kolmogorov-Landau approach to get the ``one-eighth law'' in the enstrophy cascade region.As discussed in the paper, this may raise the spectre of logarithmic corrections once again in 2-D turbulence.
ISSN:2331-8422
DOI:10.48550/arxiv.0611520