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

2003/01/31 by A. K. Aringazin, M. I. Mazhitov · 1 citation
Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Particle Dynamics in Fluid Flows #Statistical Mechanics and Entropy #cond-mat.stat-mech

paper · pdf · doi:10.1016/s0375-9601(03)00766-7

published as Phys. Lett. A 313 (2003) 284-290. · RevTeX4, 4 pages, twocolumn, no figures. Revised version, to appear in Phys. Lett. A (2003)

arxiv created 2003/05/14 · openalex publication_date 2003/05/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• On the interaction between velocity increment and energy dissipation in the turbulent cascade
• One-dimensional Langevin models of fluid particle acceleration in developed turbulence
• Quasicanonical Gibbs distribution and Tsallis non-extensive statistics

Cited by

• Joint statistics of acceleration and vorticity in fully developed turbulence

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• STOCHASTIC MODELS OF LAGRANGIAN ACCELERATION OF FLUID PARTICLE IN DEVELOPED TURBULENCE