Ts. Liu, A NOTE ON THE PROBABILITY-DISTRIBUTION OF THE DISSIPATION RATE IN LOCALLY ISOTROPIC TURBULENCE, Physics of fluids. A, Fluid dynamics, 5(9), 1993, pp. 2234-2238
A nonlinear random differential equation describing the magnitude of v
orticity is given for fine vortex tube in locally isotropic turbulence
. From this vortex dynamics model, the asymptotic expressions of the p
robability density function of the dissipation rate in locally isotrop
ic turbulence are obtained. In particular, several physical mechanisms
behind turbulence statistics are explored.