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.

arXiv commentRevTeX4, 4 pages, twocolumn, no figures. Revised version, to appear in Phys. Lett. A (2003)

References in corpus (15)

• Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and Lévy distributions
• Fluid Particle Accelerations in Fully Developed Turbulence
• Dynamical foundations of nonextensive statistical mechanics
• Measurement of Particle Accelerations in Fully Developed Turbulence
• Long time correlations in Lagrangian dynamics: a key to intermittency in turbulence
• Lagrangian acceleration statistics in turbulent flows
• On the universality of small scale turbulence
• On the small-scale statistics of Lagrangian turbulence
• Non-additivity of Tsallis entropies and fluctuations of temperature
• Generalized statistical mechanics and fully developed turbulence
• One-dimensional Langevin models of fluid particle acceleration in developed turbulence
• Quasicanonical Gibbs distribution and Tsallis nonextensive statistics
• Gaussian factor in the distribution arising from the nonextensive statistics approach to fully developed turbulence
• An interpretation of Tsallis statistics based on polydispersity
• On the interaction between velocity increment and energy dissipation in the turbulent cascade

Cited by in corpus (10)

• Multifractal statistics of Lagrangian velocity and acceleration in turbulence
• Acceleration and vortex filaments in turbulence
• Bayesian approach to superstatistics
• Joint statistics of acceleration and vorticity in fully developed 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