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The PDF of fluid particle acceleration in turbulent flow with underlying normal distribution of velocity fluctuations

A. K. Aringazin·M. I. Mazhitov
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Abstract

We describe a formal procedure to obtain and specify the general form of a marginal distribution for the Lagrangian acceleration of fluid particle in developed turbulent flow using Langevin type equation and the assumption that velocity fluctuation $u$ follows a normal distribution with zero mean, in accord to the Heisenberg-Yaglom picture. For a particular representation, $β=\exp[u]$, of the fluctuating parameter $β$, we reproduce the underlying log-normal distribution and the associated marginal distribution, which was found to be in a very good agreement with the new experimental data by Crawford, Mordant, and Bodenschatz on the acceleration statistics. We discuss on arising possibilities to make refinements of the log-normal model.

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A. K. Aringazin, M. I. Mazhitov. 2003-05-14. The PDF of fluid particle acceleration in turbulent flow with underlying normal distribution of velocity fluctuations. https://doi.org/10.1016/s0375-9601(03)00766-7

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