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New relations for correlation functions in Navier–Stokes turbulence

Published online by Cambridge University Press:  11 February 2010

G. FALKOVICH ,
I. FOUXON  and
Y. OZ
G. FALKOVICH*
Affiliation:
Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel
I. FOUXON
Affiliation:
Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv 69978, Israel
Y. OZ
Affiliation:
Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv 69978, Israel
*
†Email address for correspondence: gregory.falkovich@weizmann.ac.il
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Abstract

We consider the steady-state statistics of turbulence in the inertial interval. The Kolmogorov flux relation (4/5-law) is shown to be a particular case of the general relation on the current–density correlation function. Using that, we derive an analogous flux relation for compressible turbulence and a new exact relation for incompressible turbulence.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 644 , 10 February 2010 , pp. 465 - 472
Copyright
Copyright © Cambridge University Press 2010

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References

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