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We analyze the transport and deposition behavior of dilute microparticles in turbulent Rayleigh-B\'enard convection. Two-dimensional direct numerical simulations were carried out for the Rayleigh number ($Ra$) of $10^{8}$ and the Prandtl…

Fluid Dynamics · Physics 2020-08-05 Ao Xu , Shi Tao , Le Shi , Heng-Dong Xi

We study motion of small particles in turbulence when the particle relaxation time falls in the range of inertial time-scales of the flow. Due to inertia, particles drift relative to the fluid. We show that the drift velocity is close to…

Chaotic Dynamics · Physics 2007-05-23 I. Fouxon , P. Horvai

The angle between subsequent particle displacement increments is evaluated as a function of the timelag in isotropic turbulence. It is shown that the evolution of this angle contains two well-defined power-laws, reflecting the multi-scale…

Fluid Dynamics · Physics 2015-02-19 Wouter Bos , Benjamin Kadoch , Kai Schneider

In this work we introduce a stochastic model to describe directional changes in the movement of swimming bacteria. We use the probability density function (PDF) of turn angles, measured on tumbling wild-type {\it E. coli}, to build a…

Soft Condensed Matter · Physics 2017-07-13 G. Fier , D. Hansmann , R. C. Buceta

Statistical properties of the pair dispersion of Lagrangian particles (tracers) in incompressible turbulent flows provide insights into transport and mixing. We explore the same in transonic to supersonic compressible turbulence of an…

Fluid Dynamics · Physics 2026-02-13 Sadhitro De , Dhrubaditya Mitra , Rahul Pandit

Lagrangian pair dispersion provides insights into mixing in turbulent flows. By direct numerical simulations (DNS) we show that the statistics of pair dispersion in the randomly forced two-dimensional Burgers equation, which is a typical…

Fluid Dynamics · Physics 2023-11-14 Sadhitro De , Dhrubaditya Mitra , Rahul Pandit

The run and tumble motions of a swimming bacterium are well characterized by two stochastic variables: the speed $v(t)$ and the change of direction or deflection \mbox{$x(t)=\cos\varphi(t)$}, where $\varphi(t)$ is the turning angle at time…

Soft Condensed Matter · Physics 2018-02-02 G. Fier , D. Hansmann , R. C. Buceta

Transport phenomena of microswimmers in fluid flows play a crucial role in various biological processes, including bioconvection and cell sorting. In this paper, we investigate the dispersion behavior of chiral microswimmers in a simple…

Fluid Dynamics · Physics 2024-03-14 Keito Ogawa , Kenta Ishimoto

In order to understand how the chemical and isotopic compositions of dust grains in a gaseous turbulent protoplanetary disk are altered during their journey in the disk, it is important to determine their individual trajectories. We study…

Earth and Planetary Astrophysics · Physics 2015-05-28 Sebastien Charnoz , Laure Fouchet , Jérôme Aleon , Manuel Moreira

There are various cases of animal movement where behaviour broadly switches between two modes of operation, corresponding to a long distance movement state and a resting or local movement state. Here a mathematical description of this…

Quantitative Methods · Quantitative Biology 2014-08-01 Jake P. Taylor-King , Emiel van Loon , Gabriel Rosser , S. Jon Chapman

Lagrangian acceleration has been investigated both experimentally and numerically in the past, and it has been shown to exhibit extreme fluctuations, which have been rationalized as events in which tracer particles get trapped into vortical…

Fluid Dynamics · Physics 2025-07-24 Lorenzo Piro , Massimo Cencini , Roberto Benzi

The dispersion of a passive scalar by wall turbulence, in the limit of infinite Peclet number, is analyzed using frozen velocity fields from the DNS by our group. The Lagrangian trajectories of fluid particles in those fields are integrated…

Fluid Dynamics · Physics 2013-09-11 Juan C. del Alamo , Javier Jimenez

The statistical properties of fluid particles transported by a fully developed turbulent flow are investigated by means of high resolution direct numerical simulations. Single trajectory statistics is investigated in a time range spanning…

Chaotic Dynamics · Physics 2007-05-23 L. Biferale , G. Boffetta , A. Celani , A. Lanotte , F. Toschi

The problem of one-dimensional randomly forced Burgers turbulence is considered in terms of (1+1) directed polymers. In the limit of strong turbulence (which corresponds to the zero temperature limit for the directed polymer system) using…

Statistical Mechanics · Physics 2018-09-26 Victor Dotsenko

We study the dispersion of light particles floating on a flat shear-free surface of an open channel in which the flow is turbulent. This configuration mimics the motion of buoyant matter (e.g. phytoplankton, pollutants or nutrients) in…

Fluid Dynamics · Physics 2015-06-15 Salvatore Lovecchio , Cristian Marchioli , Alfredo Soldati

We present a detailed investigation of the particle pair separation process in homogeneous isotropic turbulence. We use data from direct numerical simulations up to Taylor's Reynolds number 280 following the evolution of about two million…

Chaotic Dynamics · Physics 2009-11-11 L. Biferale , G. Boffetta , A. Celani , B. J. Devenish , A. Lanotte , F. Toschi

In this paper, the results of an international collaborative test case relative to the production of a Direct Numerical Simulation and Lagrangian Particle Tracking database for turbulent particle dispersion in channel flow at low Reynolds…

A computationally efficient model is introduced to account for the sub-grid scale velocities of tracer particles dispersed in statistically homogeneous and isotropic turbulent flows. The model embeds the multi-scale nature of turbulent…

Fluid Dynamics · Physics 2015-06-18 I. M. Mazzitelli , F. Toschi , A. S. Lanotte

We examine the probability distribution function (pdf) of energy injection rate (power) in numerical simulations of stationary two--dimensional (2D) turbulence in the Lagrangian frame. The simulation is designed to mimic an…

Statistical Mechanics · Physics 2009-11-13 M. Bandi , C. Connaughton

Swimming bacteria create long-range velocity fields that stir a large volume of fluid and move around passive particles dispersed in the fluid. Recent experiments and simulations have shown that long-time mean-squared displacement of…

Soft Condensed Matter · Physics 2013-08-20 Alexander Morozov , Davide Marenduzzo