Issue |
Europhys. Lett.
Volume 64, Number 2, October 2003
|
|
---|---|---|
Page(s) | 151 - 157 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2003-00498-4 | |
Published online | 01 November 2003 |
Lagrangian acceleration statistics in turbulent flows
School of Mathematical Sciences, Queen Mary, University of London
Mile End Road, London E1 4NS, UK
Received:
30
April
2003
Accepted:
4
August
2003
We show that the probability densities of accelerations of Lagrangian test particles in turbulent flows as measured by Bodenschatz et al. (Nature, 409 (2001) 1017) are in excellent agreement with the predictions of a stochastic model introduced in Beck, Phys. Rev. Lett., 87 (2001) 180601 if the fluctuating friction parameter is assumed to be log-normally distributed. In a generalized statistical mechanics setting, this corresponds to a superstatistics of log-normal type. We analytically evaluate all hyperflatness factors for this model and obtain predictions in good agreement with the experimental data and the DNS data of Gotoh et al. We relate the model to a generalized Sawford model with fluctuating parameters, and discuss a possible universality of the small-scale statistics.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 47.27.Eq – Turbulence simulation and modeling
© EDP Sciences, 2003
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.