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An asymptotic solution is derived for the motion of inertial particles exposed to Stokes drag in an unsteady random flow. This solution provides the finite-time Lyapunov exponents as a function of Stokes number and Lagrangian strain- and…

Fluid Dynamics · Physics 2016-12-28 Mahdi Esmaily-Moghadam , Ali Mani

Heavy particles suspended in turbulent flow possess inertia and are ejected from violent vortical structures by centrifugal forces. Once piled up along particle paths, this small-scale mechanism leads to an effective large-scale drift. This…

Fluid Dynamics · Physics 2024-04-25 Jérémie Bec , Robin Vallée

The inertia of particles driven by the turbulent flow of the surrounding fluid makes them prefer certain regions of the flow. The heavy particles lag behind the flow and tend to accumulate in the regions with less vorticity, while the light…

Chaotic Dynamics · Physics 2015-05-30 Itzhak Fouxon

We develop a theory of various kinds of large-scale clustering of inertial particles in a rotating density stratified or inhomogeneous turbulent fluid flows. The large-scale particle clustering occurs in scales which are much larger than…

Fluid Dynamics · Physics 2025-12-17 Nathan Kleeorin , Igor Rogachevskii

Clustering of inertial particles is important for many types of astrophysical and geophysical turbulence, but it has been studied predominately for incompressible flows. Here we study compressible flows and compare clustering in both…

Fluid Dynamics · Physics 2022-01-20 N. E. L. Haugen , A. Brandenburg , C. Sandin , L. Mattsson

It was recently suggested that the sign of particle drift in inhomogeneous temperature or turbulence depends on the particle inertia: weakly inertial particles localize near minima of temperature or turbulence intensity (effects known as…

Chaotic Dynamics · Physics 2016-03-17 Sergey Belan , Alexander Chernykh , Gregory Falkovich

We study clustering of inertial particles in turbulent flows and discuss its applications to dust particles in protoplanetary disks. Using numerical simulations, we compute the radial distribution function (RDF), which measures the…

Earth and Planetary Astrophysics · Physics 2015-05-28 Liubin Pan , Paolo Padoan , John Scalo , Alexei G. Kritsuk , Michael L. Norman

A novel experimental platform is developed to investigate the dynamics of inertial particles (micro-droplets) in air turbulence. The goal is to observe particle collision and coalescence in turbulent flows, focusing on its impact on the…

Fluid Dynamics · Physics 2026-03-12 L. Fu , J. Feng , Y. Chen , F. Gong , X. Meng , E. -W. Saw

We investigate the phenomenon of turbulent thermal diffusion of inertial solid particles in laboratory experiments with convective turbulence forced by one or two oscillating grids in the air. Turbulent thermal diffusion causes a…

Fluid Dynamics · Physics 2026-05-26 E. Elmakies , O. Shildkrot , N. Kleeorin , A. Levy , I. Rogachevskii

In this paper we consider the coalescence dynamics of a tagged particle moving in a random distribution of particles with volumes independently distributed according to a probability distribution (CTP model). We provide a rigorous…

Mathematical Physics · Physics 2018-01-30 Alessia Nota , Juan J. L. Velázquez

The aggregation properties of heavy inertial particles in the elastic turbulence regime of an Oldroyd-B fluid with periodic Kolmogorov mean flow are investigated by means of extensive numerical simulations in two dimensions. Both the small…

Fluid Dynamics · Physics 2018-10-03 Himani Garg , Enrico Calzavarini , Gilmar Mompean , Stefano Berti

The clustering of small heavy inertial particles subjected to Stokes drag in turbulence is known to be minimal at small and large Stokes number and substantial at $\rm St = \mathcal O(1)$. This non-monotonic trend, which has been shown…

Fluid Dynamics · Physics 2020-08-19 Mahdi Esmaily-Moghadam , Ali Mani

We suggested a theory of clustering of inertial particles advected by a turbulent velocity field caused by an instability of their spatial distribution. The reason of the {\em clustering instability} is a combined effect of the particle…

Chaotic Dynamics · Physics 2007-05-23 Tov Elperin , Nathan Kleeorin , Victor L'vov , Igor Rogachevskii , Dmitry Sokoloff

A flowing pair of particles in inertial microfluidics gives important insights into understanding and controlling the collective dynamics of particles like cells or droplets in microfluidic devices. They are applied in medical cell analysis…

Fluid Dynamics · Physics 2018-05-25 Christian Schaaf , Felix Rühle , Holger Stark

We study the dynamics and clustering of dust particles with inertia in shock-dominated compressible turbulence using the two-dimensional, stochastically forced Burgers equation. At small Stokes numbers, shock trapping leads to extreme…

Fluid Dynamics · Physics 2025-12-09 Anikat Kankaria , Samriddhi Sankar Ray

Turbulent suspensions of heavy particles in incompressible flows have gained much attention in recent years. A large amount of work focused on the impact that the inertia and the dissipative dynamics of the particles have on their dynamical…

Chaotic Dynamics · Physics 2009-11-13 Jeremie Bec , Massimo Cencini , Rafaela Hillerbrand , Konstantin Turitsyn

Turbulent flows laden with inertial particles present multiple open questions and are a subject of great interest in current research. Due to their higher density compared to the carrier fluid, inertial particles tend to form high…

Fluid Dynamics · Physics 2017-02-15 Sholpan Sumbekova , Alain Cartellier , Alberto Aliseda , Mickael Bourgoin

We revisited the problem of heavy particles suspended in homogeneous box turbulence flow subjected to rotation along the vertical axis, which introduces anisotropy along the vertical and horizontal planes. We investigate the effect of the…

Fluid Dynamics · Physics 2023-07-12 Priyanka Maity

Clustering is an important phenomenon in turbulent flows laden with inertial particles. Although this process has been studied extensively, there are still open questions about both the fundamental physics and the reconciliation of…

Soft Condensed Matter · Physics 2025-10-09 Daniel Odens Mora , Alberto Aliseda , Alain Cartellier , Martin Obligado

In particle-laden turbulent flows the turbulence in carrier fluid phase gets affected by the dispersed particle phase for volume fraction above $10^{-4}$ and hence reverse coupling or two-way coupling becomes relevant in that volume…

Fluid Dynamics · Physics 2022-09-14 Swagnik Ghosh , Partha Sarathi Goswami