I. Hosokawa, A PARADOX OF THE 1D SURROGATE OF DISSIPATION RATE IN ISOTROPIC TURBULENCE, Journal of the Physical Society of Japan, 64(9), 1995, pp. 3141-3144
It is pointed out within the framework of Kolmogorov and Obukhov's ref
ined similarity hypothesis that the 1D surrogate of energy dissipation
rate in isotropic turbulence, which has been conventionally used by m
any experimentalists to investigate intermittency in isotropic turbule
nce, leads to an unrealistic prediction of the probability density fun
ction of velocity gradient. This suggests that any discussion of inter
mittency of turbulence based on the 1D surrogate may be of a more or l
ess qualitative nature.