Relations between intermittency and structure function exponents in turbulence

F. Hayot, C. Jayaprakash

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We derive from the Navier-Stokes equation an exact equation satisfied by the dissipation rate correlation function, <∈(x+r,t+τ)∈(x,t)>, which we study in the equal time limit, for homogeneous, isotropic turbulence. We exploit its mathematical similarity to the corresponding equation derived from the one-dimensional stochastic Burgers equation to show that the main intermittency exponents are μ1 = 2 -ζ6 and μ2 = 2Z̃44, where the ζ' S are exponents of velocity structure functions and Z̃4 is a dynamical exponent characterizing the fourth order structure function. We discuss the role of sweeping and Galilean invariance in determining the intermittency exponents.

Original languageEnglish
Pages (from-to)327-334
Number of pages8
JournalPhysics of Fluids
Issue number2
StatePublished - Feb 2000
Externally publishedYes


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