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We consider $N$ identical inertialess rigid spherical particles in a Stokes flow in a domain $\Omega \subset \mathbb R^3$. We study the average sedimentation velocity of the particles when an identical force acts on each particle. If the…

Analysis of PDEs · Mathematics 2024-05-22 Matthieu Hillairet , Richard M. Höfer

The chaotic dynamics of small-scale vorticity plays a key role in understanding and controlling turbulence, with direct implications for energy transfer, mixing, and coherent structure evolution. However, measuring or controlling its…

Stokes flows are a type of fluid flow where convective forces are small in comparison with viscous forces, and momentum transport is entirely due to viscous diffusion. Besides being routinely used as benchmark test cases in numerical fluid…

Numerical Analysis · Mathematics 2021-12-16 Andrea Cioncolini , Daniele Boffi

The identification of cells and particles based on their transport properties in microfluidic devices is crucial for numerous applications in biology and medicine. Neutrally buoyant particles transported in microfluidic channels, migrate…

Direct numerical simulation is used to investigate effects of turbulent flow in the confined geometry of a face-centered cubic porous unit cell on the transport, clustering, and deposition of fine particles at different Stokes numbers ($St…

The present study investigates the gravity-driven settling dynamics of non-Brownian suspensions of spherical and cubic particles within a triply periodic domain. The effect of solid volume fraction on the evolving microstructure of a…

Fluid Dynamics · Physics 2025-03-27 Dipankar Kundu , Florencio Balboa Usabiaga , Marco Ellero

A large amount of published data show that particles with diameter above 10\% of the turbulence integral length scale ($D/l >0.1$) tend to increase the turbulent kinetic energy of the carrier fluid above the single-phase value, and smaller…

Fluid Dynamics · Physics 2022-11-10 Roar Skartlien , Teresa Lynne Palmer , Olaf Skjæraasen

Microparticles migrate in response to gradients in solute concentration through diffusiophoresis and diffusioosmosis. Merging streams of fluid with distinct solute concentrations is a common strategy for producing a steady concentration…

Fluid Dynamics · Physics 2023-06-01 Robben E. Migacz , Guillaume Durey , Jesse T. Ault

Collisionless suspensions of inertial particles (finite-size impurities) are studied in 2D and 3D spatially smooth flows. Tools borrowed from the study of random dynamical systems are used to identify and to characterise in full generality…

Chaotic Dynamics · Physics 2007-05-23 Jeremie Bec

The leading-order far-field scattered flow produced by a particle in a parallel-wall channel under creeping flow conditions has a form of the parabolic velocity field driven by a 2D dipolar pressure distribution. We show that in a system of…

Soft Condensed Matter · Physics 2009-11-13 J. Blawzdziewicz , E. Wajnryb

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…

Chaotic Dynamics · Physics 2015-05-13 P. Gualtieri , F. Picano , C. M. Casciola

Turbophoresis in inhomogeneous turbulent flows leads to the formation of large-scale nonuniform particle number density distributions of inertial particles. This effect is associated with an effective drift velocity directed toward regions…

Fluid Dynamics · Physics 2026-05-15 E. Elmakies , O. Shildkrot , N. Kleeorin , A. Levy , I. Rogachevskii

Separated flows past complex geometries are modelled by discrete vortex techniques. The flows are assumed to be rotational and inviscid, and a new technique is described to determine the streamfunctions for linear shear profiles. The…

chao-dyn · Physics 2007-05-23 P. Franzese , L. Zannetti

This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

Fluid Dynamics · Physics 2023-11-06 Jean-Pierre Minier , Christophe Henry

A common feature of wall-bounded turbulent particle-laden flows is enhanced particle concentrations in a thin layer near the wall due to a phenomenon known as turbophoresis. Even at relatively low bulk volume fractions, particle-particle…

Fluid Dynamics · Physics 2019-08-09 Perry L. Johnson

A simple theory, based on observations of snowflake distribution in a turbulent flow, is proposed to model the growth of inertial particles as a result of dynamic clustering at scales larger than the Kolmogorov length scale. Particles able…

Fluid Dynamics · Physics 2015-10-16 Michele Guala , Jiarong Hong

In this paper, we establish the existence of Stokes waves with piecewise smooth vorticity in a two-dimensional, infinitely deep fluid domain. These waves represent traveling water waves propagating over sheared currents in a semi-infinite…

Analysis of PDEs · Mathematics 2025-11-07 Changfeng Gui , Jun Wang , Wen Yang , Yong Zhang

We use Stokesian Dynamics simulations to study the microscopic motion of particles suspended in fluids passing through porous media. We construct model porous media with fixed spherical particles, and allow mobile ones to move through this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jysoo Lee , Joel Koplik

We investigate the effects of a two-dimensional, incompressible, turbulent flow on mono-disperse soft granular particles and show the emergence of a crystalline phase due to the interplay of Stokesian drag (measured through the Stokes…

Fluid Dynamics · Physics 2022-12-13 Mohit Gupta , Pinaki Chaudhuri , Jèrèmie Bec , Samriddhi Sankar Ray

Spontaneous segregation of run-and-tumble particles with different velocities in microchannels is investigated by numerical simulations. Self-propelled particles are known to accumulate in the proximity of walls. Here we show how fast…

Soft Condensed Matter · Physics 2014-09-05 Andrea Costanzo , Jens Elgeti , Thorsten Auth , Gerhard Gompper , Marisol Ripoll
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