SCALE COVARIANCE, MOMENT INVARIANCE AND INTERMITTENCY IN FULLY-DEVELOPED TURBULENCE

The velocity structure functions of fully developed turbulence are stu died by only using homogeneity, isotropy, scale invariance and single scale dependence of variables. Scale covariant laws showing intermitte ncy are derived. The regular laws yield a finite bound of the scaling exponents of positive moments. In the moment space, they induce an inv ariance of scaling exponents by moment translation which generalizes t he ''hidden symmetry'' postulated by She and Leveque for the moments o f a nondimensional rate of energy dissipation.