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

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, $\beta =\exp [u]$, of the fluctuating parameter $\beta$, 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.

RevTeX4, 4 pages, twocolumn, no figures. Revised version, to appear in Phys. Lett. A (2003)

References in corpus (3)

• One-dimensional Langevin models of fluid particle acceleration in developed turbulence
• Gaussian factor in the distribution arising from the nonextensive statistics approach to fully developed turbulence
• On the interaction between velocity increment and energy dissipation in the turbulent cascade

Cited by in corpus (7)

• Multifractal statistics of Lagrangian velocity and acceleration in turbulence
• One-dimensional Langevin models of fluid particle acceleration in developed turbulence
• Non-Gaussian PDFs from Maximum-Entropy-principle considerations
• Conditional Lagrangian acceleration statistics in turbulent flows with Gaussian distributed velocities
• Stochastic models of Lagrangian acceleration of fluid particle in developed turbulence
• Skewness of probability density functions of fluid particle acceleration in developed turbulence
• The conditional mean acceleration of fluid particle in developed turbulence