Experimental Lagrangian Acceleration Probability Density Function Measurement

Details Experimental Lagrangian Acceleration Probability Density Function Measurement Experimental Lagrangian Acceleration Probability Density Function Measurement

2003-02-28

arxiv.org/abs/physics/0303003v2

Physica D vol 193 p245 2004

Physics

Fluid Dynamics

submitted for the special issue of Physica D: "Anomalous Distributions" 11 pages, 6 figures revised version: light modificatio

Scientific paper

10.1016/j.physd.2004.01.041

We report experimental results on the acceleration component probability distribution function at $R_\lambda = 690$ to probabilities of less than $10^{-7}$. This is an improvement of more than an order of magnitude over past measurements and allows us to conclude that the fourth moment converges and the flatness is approximately 55. We compare our probability distribution to those predicted by several models inspired by non-extensive statistical mechanics. We also look at acceleration component probability distributions conditioned on a velocity component for conditioning velocities as high as 3 times the standard deviation and find them to be highly non-Gaussian.

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