New relations for correlation functions in Navier-Stokes turbulence

Abstract

We consider the steady-state statistics of turbulence sustained by a large-scale force. 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 analog of the flux relation for compressible turbulence and a new exact relation for incompressible turbulence.

11 pages

References in corpus (2)

• The Statistics of Supersonic Isothermal Turbulence
• On the von Karman-Howarth equations for Hall MHD flows

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