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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…

Soft Condensed Matter · Physics 2008-04-29 M. Baron , J. Blawzdziewicz , E. Wajnryb

Since its development, Stokesian Dynamics has been a leading approach for the dynamic simulation of suspensions of particles at arbitrary concentrations with full hydrodynamic interactions. Although originally developed for the simulation…

Fluid Dynamics · Physics 2022-12-14 Gwynn J. Elfring , John F. Brady

Swimming microorganisms create flows that influence their mutual interactions and modify the rheology of their suspensions. While extensively studied theoretically, these flows have not been measured in detail around any freely-swimming…

Biological Physics · Physics 2010-10-14 Knut Drescher , Raymond E. Goldstein , Nicolas Michel , Marco Polin , Idan Tuval

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…

Chaotic Dynamics · Physics 2009-11-13 Phanindra Tallapragada , Shane. D. Ross

We study how hydrodynamic interactions affect the collective behaviour of active particles suspended in a fluid at high concentrations, with particular attention to lubrication forces which appear when the particles are very close to one…

Soft Condensed Matter · Physics 2018-05-29 Natsuhiko Yoshinaga , Tanniemola B. Liverpool

We derive macroscopic dynamics for self-propelled particles in a fluid. The starting point is a coupled Vicsek-Stokes system. The Vicsek model describes self-propelled agents interacting through alignment. It provides a phenomenological…

Fluid Dynamics · Physics 2017-06-20 Pierre Degond , Sara Merino-Aceituno , Fabien Vergnet , Hui Yu

We present a continuum level analytical model of a droplet of active contractile fluid consisting of filaments and motors. We calculate the steady state flows that result from a splayed polarisation of the filaments. We account for the…

Cell Behavior · Quantitative Biology 2014-02-20 Carl A. Whitfield , Davide Marenduzzo , Raphaël Voituriez , Rhoda J. Hawkins

We present a general theory for determining the force (and torque) exerted on a boundary (or body) in active matter. The theory extends the description of passive Brownian colloids to self-propelled active particles and applies for all…

Soft Condensed Matter · Physics 2023-07-19 Wen Yan , John F. Brady

We study the hydrodynamics and shape changes of chemically active droplets. In non-spherical droplets, surface tension generates hydrodynamic flows that drive liquid droplets into a spherical shape. Here we show that spherical droplets that…

Biological Physics · Physics 2018-11-12 Rabea Seyboldt , Frank Jülicher

We derive from first principles a three-dimensional theory of self-propelled particle swarming in a viscous fluid environment. Our model predicts emergent collective behavior that depends critically on fluid opacity, mechanism of…

Soft Condensed Matter · Physics 2026-05-12 Yao-Li Chuang , M. R. D'Orsogna , T. Chou

We study the interplay of activity, order and flow through a set of coarse-grained equations governing the hydrodynamic velocity, concentration and stress fields in a suspension of active, energy-dissipating particles. We make several…

Soft Condensed Matter · Physics 2009-11-10 Yashodhan Hatwalne , Sriram Ramaswamy , Madan Rao , R. Aditi Simha

Stokesian Dynamics is a well-established computational method for simulating dynamics of many particles suspended in a conventional passive fluid medium. Active fluids composed of self-propelling particles with broken time reversal symmetry…

Fluid Dynamics · Physics 2023-01-03 Hang Yuan , Monica Olvera de la Cruz

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

The agitation produced in a fluid by a suspension of micro-swimmers in the low Reynolds number limit is studied. In this limit, swimmers are modeled as force dipoles all with equal strength. The agitation is characterized by the active…

Soft Condensed Matter · Physics 2014-10-01 C. Parra-Rojas , R. Soto

We consider the stirring of an inviscid fluid caused by the locomotion of bodies through it. The swimmers are approximated by non-interacting cylinders or spheres moving steadily along straight lines. We find the displacement of fluid…

Fluid Dynamics · Physics 2010-07-22 Jean-Luc Thiffeault , Stephen Childress

We study the collective motion of confined spherical microswimmers such as active colloids which we model by so-called squirmers. To simulate hydrodynamic flow fields including thermal noise, we use the method of multi-particle collision…

Soft Condensed Matter · Physics 2014-03-20 Andreas Zöttl , Holger Stark

Using a simple model of self-propelled particle, the effective shear viscosity of a dilute, spatially homogeneous suspension of active particles is studied. We use formulation of non-linear Fokker-Planck equation to drive a kinetic…

Soft Condensed Matter · Physics 2017-02-16 M. Moradi

We develop a general hydrodynamic theory describing a system of interacting actively propelling particles of arbitrary shape suspended in a viscous fluid. We model the active part of the particle motion using a slip velocity prescribed on…

Fluid Dynamics · Physics 2019-01-15 Bhargav Rallabandi , Fan Yang , Howard A. Stone

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

Hydrodynamic signatures at the Stokes regime, pertinent to motility of micro-swimmers, have a long-range nature. This implies that movements of an object in such a viscosity-dominated regime, can be felt tens of body-lengths away and…

Fluid Dynamics · Physics 2020-10-07 Mehdi Mirzakhanloo , Soheil Esmaeilzadeh , Mohammad-Reza Alam