New relations for correlation functions in Navier-Stokes turbulence

G. Falkovich*, I. Fouxon, Y. Oz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)465-472
Number of pages8
JournalJournal of Fluid Mechanics
StatePublished - 10 Feb 2010


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