UNIVERSAL SCALING LAWS IN FULLY-DEVELOPED TURBULENCE

The inertial-range scaling laws of fully developed turbulence are desc ribed in terms of scalings of a sequence of moment ratios of the energ y dissipation field epsilon(l) coarse grained at inertial-range scale l. These moment ratios epsilon(l)(p) = [epsilon(l)p] (p = 0, 1, 2,..., ) form a hierarchy of structures. The most singular structures epsilon (l)(infinity) are assumed to be filaments, and it is argued that epsil on(l)infinity approximately l-2/3. Furthermore, a universal relation b etween scalings of successive structures is postulated, which leads to a prediction of the entire set of the scaling exponents: [epsilon(l)p ] approximately l(tau)p, tau(p) = -2/3p + 2[1 - (2/3)p] and [deltav(l) p] approximately l(zetap), zeta(p) = p/9 + 2[1 - (2/3)p/3].