Statistics of “Worms” in Isotropic Turbulence Treated on the Multifractal Basis

As is well known, there appear innumerable, randomly posed, unsteady, vorticity-concentrated slender regions, which may be called “worms,” moving around in isotropic turbulence with a high Reynolds number. The universal feature of instantaneous spatial distribution of these worms is formulated based on a multifractal structure of the energy dissipation rate previously investigated and on the assumption that a worm can be locally replaced by a Burgers vortex.