B. Castaing et al., VELOCITY PROBABILITY DENSITY-FUNCTIONS IN DEVELOPED TURBULENCE - A FINITE REYNOLDS THEORY, Physica. B, Condensed matter, 194, 1994, pp. 695-696
The probability density function of velocity differences deltav(i) = v
(i)(x+r)-v(i)(x) in turbulent flows has a stricking evolution when r g
oes from large scales to small dissipative ones developing wide non ga
ussian wings. A formalism has been developed, generalizing the multifr
actal formalism, which well describes this evolution for finite Reynol
ds numbers. The extrapolation to infinite Reynolds number presents une
xpected features.