On the third order structure function for rotating 3D homogeneous turbulent flow

Abstract

A form for the two-point third order structure function has been calculated for three dimensional homogeneous incompressible slowly rotating turbulent fluid. It has been argued that it may possibly hint at the initiation of the phenomenon of two-dimensionalisation of the 3D incompressible turbulence owing to rotation.

This revised version corrects some serious flaws in the discussions after the equation (2) and the equation (13) of the earlier version. Some typos are also corrected

References in corpus (2)

• Anisotropy in Turbulent Flows and in Turbulent Transport
• On The Three Point Velocity Correlation Functions in 2d Forced Turbulence

Cited by in corpus (9)

• Coherent structures and extreme events in rotating multiphase turbulent flows
• Isotropisation at small scales of rotating helically-driven turbulence
• Direct measurements of anisotropic energy transfers in a rotating turbulence experiment
• On the energy spectrum of rapidly rotating forced turbulence
• Statistical features of rapidly rotating decaying turbulence: enstrophy and energy spectra, and coherent structures
• Pattern formation by turbulent cascades
• Signatures of two-dimensionalisation of 3D turbulence in presence of rotation
• On two-dimensionalization of three-dimensional turbulence in shell models
• Two point third order correlation functions for quasi-geostrophic turbulence: Kolmogorov-Landau approach