A theory for portions of the energy spectrum and the intermittency of fine-scale turbulence

The paper postulates 'mesoregions' in both physical and wave-number space in which intermittency of turbulence is a common feature. The mesoregions prevent the overlap of the classical inner and outer regions as commonly assumed. Instead, new expressions must be formulated for mean quantities in the inner region, which now includes the mesoregion and the classical inner region, and match these with the outer forms assuming independence of the inner length to the first approximation. Results are obtained for a viscous subrange between the inner length h and mesoregion dimensions and hR, where R is the ratio of outer to inner length.