Abstract: Intermittency has been proposed to explain some theoretical and experimental discrepancies from Kolmogorov's theory on turbulence. Here a generalized Kolmogorov's law on inertial sub-range is presented, considering a new scaling to represent intermittency. The latter is modeled using a multifractal approach, where the non-extensive thermo-statistics can applied for calculating the new scaling [3]. This new approach is taken into account for deriving eddy diffusivity - dimensionally consistent expressions - from Taylor's statistical theory on turbulence and from a generalized turbulent spectral model for turbulent energy. The present paper extend our previous results [1, 2], and a physical meaning is disccussed for a geometrical parameter appearing in the generalized Kolmogorov's law.

References:

[1] H.F. de Campos Velho, R.R. Rosa, F.M. Ramos, R.A. Pielke Sr., G.A. Degrazia (2005): "Representing Intermittency in Turbulent Fluxes: An Application to the Stable Atmospheric Boundary Layer", Physica A, 354, pp. 88-94.

[2] H.F. de Campos Velho, R.R. Rosa, F.M. Ramos, R.A. Pielke, G.A. Degrazia, C. Rodrigues Neto, A. Zanandrea (2001): "Multifractal Model for Eddy Diffusivity and Counter-Gradient Term in Atmospheric Turbulence", Physica A, 295(1/2), pp. 219-223.

[3] F.M. Ramos, R.R. Rosa, C. Rodrigues Neto, M.J.A. Bolzan, L.D.A. Sa, H.F. de Campos Velho (2001): "Nonextensive Statistics and Three-dimensional Fully Developed Turbulence", Physica A, 295(1/2), pp. 250-253.