Abstract
It is shown that the idea that scaling behavior in turbulence is limited by one outer length and one inner length η is untenable. Every order correlation function of velocity differences exhibits its own crossover length to dissipative behavior as a function of . This depends on and on the remaining separations . One result is that when separations are of the same order , this scales as with , the scaling exponent of the order structure function. We derive an infinite set of scaling relations that bridge the exponents of correlations of gradient fields to the exponents , including the “bridge relation” for the scaling exponent of dissipation fluctuations .
- Received 6 May 1996
DOI:https://doi.org/10.1103/PhysRevLett.77.3541
©1996 American Physical Society