Experimental Lagrangian acceleration probability density function measurement

We report experimental results on the acceleration component probability distribution function at R λ =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...

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Bibliographic Details
Published inPhysica. D Vol. 193; no. 1; pp. 245 - 251
Main Authors Mordant, N., Crawford, A.M., Bodenschatz, E.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 15.06.2004
Elsevier
Subjects
Exact sciences and technology
Fluid Dynamics
High Reynolds number turbulence
Lagrangian acceleration
Physics
Probability distribution function
Probability distribution function
Lagrangian acceleration
High Reynolds number turbulence
Turbulence
Lagrangian
Probability
Probability distribution
Non linear phenomenon
Large Reynolds number
Probability density function
Standard deviation
Models
Statistical mechanics
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Summary:We report experimental results on the acceleration component probability distribution function at R λ =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 three times the standard deviation and find them to be highly non-Gaussian.
ISSN:0167-2789
1872-8022
DOI:10.1016/j.physd.2004.01.041