Compressible Flow: Turbulence at the Surface

Author: Cressman J. R.   Goldburg W. I.  

Publisher: Springer Publishing Company

ISSN: 0022-4715

Source: Journal of Statistical Physics, Vol.113, Iss.5-6, 2003-12, pp. : 875-883

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Abstract

In a study of compressible flow, we have tracked the motion of particles that float on a turbulent body of water. The second moment of longitudinal velocity differences scales as in incompressible flow. However the separation &〈R2(t)&〉 of particle pairs does not vary in time according to the Richardson–Kolmogorov prediction &〈R2(t)&〉∝t3. As expected, the self diffusion &〈d2(t)&〉 shows a crossover between ballistic motion &〈d2(t)&〉∝t2 at small t and uncorrelated motion &〈d2(t)&〉∝t in the longtime limit.