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Inertial particles in stably stratified flows play a fundamental role in geophysics, from the dynamics of nutrients in the ocean to the dispersion of pollutants in the atmosphere. We consider the Maxey-Riley equation for small neutrally…

Fluid Dynamics · Physics 2022-12-08 Christian Reartes , Pablo D. Mininni

We investigate the dynamics of very large particles freely advected in a turbulent von Karman flow. Contrary to other experiments for which the particle dynamics is generally studied near the geometrical center of the flow, we track the…

We report on the modification of drag by neutrally buoyant spherical particles in highly turbulent Taylor-Couette flow. These particles can be used to disentangle the effects of size, deformability, and volume fraction on the drag, when…

The accumulation of small particles is analyzed in stationary flows through channels of variable width at small Reynolds number. The combined influence of pressure, viscous drag and thermal fluctuations is described by means of a…

Soft Condensed Matter · Physics 2008-07-09 Michael Schindler , Peter Talkner , Marcin Kostur , Peter Hanggi

We study the two-phase, horizontally periodic, quasistationary Stokes flow in two dimensions driven by surface tension and gravity effects in the general context of fluids with (possibly) different viscosities and densities. The sharp…

Analysis of PDEs · Mathematics 2025-08-22 Daniel Böhme , Bogdan-Vasile Matioc

The settling dynamics of spherical and elliptical particles in a viscous Newtonian fluid are investigated numerically using a finite difference technique. The terminal velocity for spherical particles is calculated for different system…

Soft Condensed Matter · Physics 2009-10-31 Gerald H. Ristow

Inertial particles are often observed to be trapped, temporarily or permanently, by recirculation cells which are ubiquitous in natural or industrial flows. In the limit of small particle inertia, determining the conditions of trapping is a…

Fluid Dynamics · Physics 2016-06-01 Romuald Verjus , Jean-Régis Angilella

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

The two-phase horizontally periodic quasistationary Stokes flow in $\mathbb{R}^2$, describing the motion of two immiscible fluids with equal viscosities that are separated by a sharp interface, which is parameterized as the graph of a…

Analysis of PDEs · Mathematics 2024-06-12 Daniel Böhme , Bogdan-Vasile Matioc

We report experimental observations of turbulent flow with spherical particles in a square duct. Three particle sizes namely: $2H/d_{p}$ = 40, 16 and 9 ($2H$ being the duct full height and $d_{p}$ being the particle diameter) are…

Fluid Dynamics · Physics 2021-02-23 Sagar Zade , Pedro Costa , Walter Fornari , Fredrik Lundell , Luca Brandt

Microflows are intensively used for investigating and controlling the dynamics of particles, including soft particles such as biological cells and capsules. A classic result is the tank-treading motion of elliptically deformed soft…

Soft Condensed Matter · Physics 2021-10-06 Matthias Laumann , Walter Zimmermann

Manipulation of small-scale particles across streamlines is the elementary task of microfluidic devices. Many such devices operate at very low Reynolds numbers and deflect particles using arrays of obstacles, but a systematic quantification…

Fluid Dynamics · Physics 2025-03-19 Xuchen Liu , Partha Kumar Das , Sascha Hilgenfeldt

We consider the quasistationary Stokes flow that describes the motion of a two-dimensional fluid body under the influence of surface tension effects in an unbounded, infinite-bottom geometry. We reformulate the problem as a fully nonlinear…

Analysis of PDEs · Mathematics 2024-04-25 Georg Prokert , Bogdan-Vasile Matioc

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

We study the inertial migration of finite-size neutrally buoyant spherical particles in dilute and semi-dilute suspensions in laminar square duct flow. We perform several direct numerical simulations using an immersed boundary method to…

Fluid Dynamics · Physics 2017-05-25 H. Tabaei Kazerooni , W. Fornari , J. Hussong , L. Brandt

KEY WORDS suspensions, inertial focusing, particle-laden flows, high Reynolds numbers SHORT SUMMARY The inertial migration of particles in square channel flows at the micro-scale has been deeply investigated in the last two decades. The…

Soft Condensed Matter · Physics 2019-03-20 Yichang Wang , Yanfeng Gao , Pascale Magaud , Lucien Baldas , Christine Lafforgue , Stéphane Colin

We study a model for a dilute suspension of rod-like particles swimming at constant velocity in a Stokes flow. As the translational diffusivity of the particles decreases, a two-dimensional uniform concentration of randomly aligned…

Fluid Dynamics · Physics 2026-05-12 Yves-Marie Ducimetière , Michael J. Shelley

We study the quasi-periodicity phenomena occurring at the transition between tonic spiking and bursting activities in exemplary biologically plausible Hodgkin-Huxley type models of individual cells and reduced phenomenological models with…

Chaotic Dynamics · Physics 2018-11-14 Huiwen Ju , Alexander Neiman , Andrey Shilnikov

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

The manipulation and control of microparticles through non-intrusive methods is pivotal in biomedical applications such as cell sorting and cell focusing. Although several experimental and numerical studies have been dedicated to single…

Fluid Dynamics · Physics 2023-12-20 Giancarlo Esposito , Gaetano D'Avino , Massimiliano Maria Villone