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Lagrangian acceleration statistics in turbulent flows | | Christian Beck
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23 Dec 2002 | | Subject: | Statistical Mechanics; Fluid Dynamics | cond-mat.stat-mech physics.flu-dyn | | Abstract: | We show that the probability densities af accelerations of Lagrangian test particles in turbulent flows as measured by Bodenschatz et al. [Nature 409, 1017 (2001)] are in excellent agreement with the predictions of a stochastic model introduced in [C. Beck, PRL 87, 180601 (2001)] 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 hyperflatnes factors for this model and obtain a flatness prediction in good agreement with the experimental data. There is also good agreement with 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. | | Source: | arXiv, cond-mat/0212566 | | Services: | Forum | Review | PDF | Favorites | |
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