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Iron particles, with their non-volatile combustion mode, remain in the dispersed phase throughout the combustion process, causing the flow in a typical iron powder combustor to be particle-laden and turbulent. Preferential concentration is…

Fluid Dynamics · Physics 2026-04-07 Shyam Hemamalini , Bénédicte Cuenot , XiaoCheng Mi

We explore the role of gravitational settling on inertial particle concentrations in a wall-bounded turbulent flow. While it may be thought that settling can be ignored when the settling parameter $Sv\equiv v_s/u_\tau$ is small ($v_s$ -…

Fluid Dynamics · Physics 2021-09-10 Andrew D. Bragg , David H. Richter , Guiquan Wang

We consider advection of small inertial particles by a random fluid flow with a strong steady shear component. It is known that inertial particles suspended in a random flow can exhibit clusterization even if the flow is incompressible. We…

Chaotic Dynamics · Physics 2013-05-30 Grigory A. Sizov

Anisotropic, finite-sized particles, common in environmental and industrial flows, exhibit complex dynamics distinct from those of small, spherical particles. Their shape introduces orientation-dependent forces, and their finite size…

Fluid Dynamics · Physics 2025-08-28 Helena E. Schreder , Kartik Krishna , Steven L. Brunton , Michelle H. DiBenedetto

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

Disordered Systems and Neural Networks · Physics 2018-02-14 S. V. Novikov

The dynamical system for inertial particles in fluid flow has both attracting and repelling regions, the interplay of which can localize particles. In laminar flow experiments we find that particles, initially moving throughout the fluid…

Fluid Dynamics · Physics 2014-07-10 Steven Wang , Robert L. Stewart , Guy Metcalfe , Jie Wu

We study the problem of homogenization for inertial particles moving in a time dependent random velocity field and subject to molecular diffusion. We show that, under appropriate assumptions on the velocity field, the large--scale,…

Mathematical Physics · Physics 2007-05-23 G. A. Pavliotis , A. M. Stuart , K. C. Zygalakis

We consider the preferential attachment model with location-based choice introduced by Haslegrave, Jordan and Yarrow as a model in which condensation phenomena can occur [Haslegrave et al. 2020]. In this model every vertex carries an…

Probability · Mathematics 2024-05-09 Arne Grauer , Lukas Lüchtrath , Mark Yarrow

Preferential concentration of inertial particles in turbulent flow is studied by high resolution direct numerical simulations of two-dimensional turbulence. The formation of network-like regions of high particle density, characterized by a…

Chaotic Dynamics · Physics 2009-11-10 G. Boffetta , F. De Lillo , A. Gamba

Recent studies show that spherical motile micro-organisms in turbulence subject to gravitational torques gather in down-welling regions of the turbulent flow. By analysing a statistical model we analytically compute how shape affects the…

Fluid Dynamics · Physics 2016-05-31 K. Gustavsson , F. Berglund , P. R. Jonsson , B. Mehlig

We investigate the bounds between normal or anomalous effective diffusion for inertial particles transported by parallel flows. The infrared behavior of the fluid kinetic-energy spectrum, i.e. the possible presence of long-range…

Fluid Dynamics · Physics 2014-07-07 Marco Martins Afonso

The zero range process is of particular importance as a generic model for domain wall dynamics of one-dimensional systems far from equilibrium. We study this process in one dimension with rates which induce an effective attraction between…

Statistical Mechanics · Physics 2018-04-26 Stefan Grosskinsky , Gunter M. Schuetz , Herbert Spohn

Finite-size impurities suspended in incompressible flows distribute inhomogeneously, leading to a drastic enhancement of collisions. A description of the dynamics in the full position-velocity phase space is essential to understand the…

Chaotic Dynamics · Physics 2009-11-10 J. Bec , A. Celani , M. Cencini , S. Musacchio

Spatial distributions of heavy particles suspended in an incompressible isotropic and homogeneous turbulent flow are investigated by means of high resolution direct numerical simulations. In the dissipative range, it is shown that particles…

Chaotic Dynamics · Physics 2007-05-23 J. Bec , L. Biferale , M. Cencini , A. Lanotte , S. Musacchio , F. Toschi

We study a generalization of the affine preferential attachment model where triangles are randomly added to the graph. We show that the model exhibits an asymptotically power-law degree distribution with adjustable parameter $\gamma\in…

Probability · Mathematics 2025-04-04 Angelica Pachon , Robin Stephenson

We describe a criterion for particles suspended in a randomly moving fluid to aggregate. Aggregation occurs when the expectation value of a random variable is negative. This random variable evolves under a stochastic differential equation.…

Statistical Mechanics · Physics 2009-11-10 B. Mehlig , M. Wilkinson , K. Duncan , T. Weber , M. Ljunggren

We present an experimental study of the preferential concentration of sub-Kolmogorov inertial particles in active-grid-generated homogeneous and isotropic turbulence, characterized via Vorono\"i tessellations. We show that the detection and…

Fluid Dynamics · Physics 2020-03-04 M. Obligado , A. Aliseda , T. Calmant , N. de Palma , A. Cartellier

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

The rectification of a single file of attracting particles subjected to a low frequency ac drive is proposed as a working mechanism for particle shuttling in an asymmetric narrow channel. Increasing the particle attraction results in the…

Statistical Mechanics · Physics 2011-03-17 Andrey Pototsky , Andrew J. Archer , Michael Bestehorn , Domnic Merkt , Sergey Savel'ev , Fabio Marchesoni

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