Longitudinal and transverse velocity scaling exponents from merging of   the Vortex filament and Multifractal models
  We suggest a simple explanation of the difference between transverse and longitudinal scaling exponents observed in experiments and simulations. Based on the Vortex filament model and Multifractal conjecture, we calculate both scaling exponents for any n without any fitting parameters and ESS anzatz. The results are in very good agreement with the data of simulations. 
K. P. Zybin and V. A. Sirota (P.N.Lebedev Physical Institute of RAS,   Moscow, Russia)
physics.flu-dyn