Am. Reynolds, Comments on the 'Universality of the Lagrangian velocity structure function constant (C-0) across different kinds of turbulence', BOUND-LAY M, 89(1), 1998, pp. 161-170
Recently Du (Boundary-Layer Meteorology 83, 207-219, 1997) estimated the va
lue of the Lagrangian velocity structure constant, C-0, in the inertial sub
range by comparing experimental diffusion data and simulation results obtai
ned with the one-dimensional form of Thomson's model (J. Fluid Mech. 180, 5
29-556, 1987). Du reported that for several different flows (grid turbulenc
e, a wind-tunnel boundary layer and the atmospheric surface layer under neu
tral stratification) the value of C-0 is 3.0 +/- 0.5. Here, it is shown tha
t optimal model agreement with experimental diffusion data for the wind-tun
nel boundary layer is, in fact, obtained when C-0 = 5.0 +/- 0.5. It is also
shown that accounting for the skewness of velocity statistics and finite R
eynolds number effects does not significantly change this estimate for the
value of C-0. It is suggested that one-dimensional Lagrangian stochastic mo
dels are inconsistent with the supposed universality of C-0.