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Inertial particles suspended in many natural and industrial flows undergo coagulation upon collisions and fragmentation if their size becomes too large or if they experience large shear. Here we study this coagulation-fragmentation process…

混沌动力学 · 物理学 2009-08-20 Jens C. Zahnow , Rafael D. Vilela , Ulrike Feudel , Tamás Tél

In this paper, we are interested in the collective friction of a cloud of particles on the viscous incompressible fluid in which they are moving. The particles velocities are assumed to be given and the fluid is assumed to be driven by the…

偏微分方程分析 · 数学 2024-09-12 Matthieu Hillairet , Ayman Moussa , Franck Sueur

Recently, clustering of inertial particles in turbulence has been thoroughly analyzed for statistically homogeneous isotropic flows. Phenomenologically, spatial homogeneity of particles configurations is broken by the advection of a range…

混沌动力学 · 物理学 2015-05-13 P. Gualtieri , F. Picano , C. M. Casciola

The influence of an underlying carrier flow on the terminal velocity of sedimenting particles is investigated both analytically and numerically. Our theoretical framework works for a general class of (laminar or turbulent) velocity fields…

混沌动力学 · 物理学 2008-08-22 Marco Martins Afonso

Systematic deflection of microparticles off of initial streamlines is a fundamental task in microfluidics, aiming at applications including sorting, accumulation, or capture of the transported particles. In a large class of setups,…

流体动力学 · 物理学 2026-04-01 Partha Kumar Das , Xuchen Liu , Sascha Hilgenfeldt

Particles whose shapes couple translation to rotation display a rich array of behaviors as they sediment at low Reynolds number. We introduce a unifying perspective in which the possible dynamical regimes and bifurcations between them can…

Simulations of over $10^3$ hydrodynamically coupled solid spheres are performed to investigate collective motion of linear trains and regular square arrays of particles suspended in a fluid bounded by two parallel walls. Our novel…

软凝聚态物质 · 物理学 2008-04-29 M. Baron , J. Blawzdziewicz , E. Wajnryb

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…

混沌动力学 · 物理学 2009-11-13 Jeremie Bec , Massimo Cencini , Rafaela Hillerbrand , Konstantin Turitsyn

We use theory and Direct Numerical Simulations (DNS) to explore the average vertical velocities and spatial distributions of inertial particles settling in a wall-bounded turbulent flow. The theory is based on the exact phase-space equation…

流体动力学 · 物理学 2021-06-09 Andrew D Bragg , David H Richter , Guiquan Wang

The evolution of suspension drops sedimenting under gravity in a viscous fluid close to a vertical wall was studied experimentally and numerically with the use of the point-force model, in the Stokes flow regime. The fluid inside and…

流体动力学 · 物理学 2015-05-27 Anna Mylyk , Walter Meile , Gunter Brenn , Maria L. Ekiel-Jezewska

The sedimentation of a heavy Stokes particle in a laminar plane or axisymmetric flow is investigated by means of asymptotic methods. We focus on the occurrence of Stommel's retention zones, and on the splitting of their separatrices. The…

流体动力学 · 物理学 2010-03-23 J. R. Angilella

This contribution is concerned with the effective viscosity problem, that is, the homogenization of the steady Stokes system with a random array of rigid particles, for which the main difficulty is the treatment of close particles. Standard…

偏微分方程分析 · 数学 2022-01-13 Mitia Duerinckx , Antoine Gloria

We derive a perturbative approach to study, in the large inertia limit, the dynamics of solid particles in a smooth, incompressible and finite-time correlated random velocity field. We carry on an expansion in powers of the inverse square…

统计力学 · 物理学 2009-11-13 Piero Olla , Maria Raffaella Vuolo

Small heavy particles in a fluid flow respond to the flow on a time-scale proportional to their inertia, or Stokes number St. Their behaviour is thought to be gradually modified as St increases. We show, in the steady spatially-periodic…

流体动力学 · 物理学 2023-04-20 Anu V. S. Nath , Anubhab Roy , S. Ravichandran , Rama Govindarajan

Sedimentation of a dispersed solid phase is widely encountered in applications and environmental flows, yet little is known about the behavior of finite-size particles in homogeneous isotropic turbulence. To fill this gap, we perform Direct…

流体动力学 · 物理学 2016-04-20 Walter Fornari , Francesco Picano , Luca Brandt

We study the convergence of the method of reflections for the Stokes equations in domains perforated by countably many spherical particles with boundary conditions typical for the suspension of rigid particles. We prove that a relaxed…

偏微分方程分析 · 数学 2023-11-22 Richard M. Höfer

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…

混沌动力学 · 物理学 2015-05-30 Itzhak Fouxon

Ice crystals settling through a turbulent cloud are rotated by turbulent velocity gradients. In the same way, turbulence affects the orientation of aggregates of organic matter settling in the ocean. In fact most solid particles encountered…

流体动力学 · 物理学 2021-02-04 K. Gustavsson , M. Z. Sheikh , D. Lopez , A. Naso , A. Pumir , B. Mehlig

It is a commonly observed phenomenon that spherical particles with inertia in an incompressible fluid do not behave as ideal tracers. Due to the inertia of the particle, the dynamics are described in a four dimensional phase space and thus…

混沌动力学 · 物理学 2009-11-13 Phanindra Tallapragada , Shane. D. Ross

A statistical description of heavy particles suspended in incompressible rough self-similar flows is developed. It is shown that, differently from smooth flows, particles do not form fractal clusters. They rather distribute inhomogeneously…

混沌动力学 · 物理学 2007-05-23 J. Bec , M. Cencini , R. Hillerbrand