## Abstract

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 μ_{1} = 2 -ζ6 and μ_{2} = 2Z̃^{4}-ζ_{4}, where the ζ' S are exponents of velocity structure functions and Z̃_{4} 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 language | English |
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Pages (from-to) | 327-334 |

Number of pages | 8 |

Journal | Physics of Fluids |

Volume | 12 |

Issue number | 2 |

DOIs | |

State | Published - Feb 2000 |

Externally published | Yes |