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We construct a boundary integral representation for the low-Reynolds-number flow in a channel in the presence of freely-suspended particles (or droplets) of arbitrary size and shape. We demonstrate that lubrication theory holds away from…

Fluid Dynamics · Physics 2018-01-17 Itzhak Fouxon , Zhouyang Ge , Luca Brandt , Alexander Leshansky

Fish schooling is often modeled with self-propelled particles subject to phenomenological behavioral rules. Although fish are known to sense and exploit flow features, these models usually neglect hydrodynamics. Here, we propose a novel…

Biological Physics · Physics 2018-05-16 Audrey Filella , François Nadal , Clément Sire , Eva Kanso , Christophe Eloy

One of the hallmarks of active matter is its rich nonlinear dynamics and instabilities. Recent numerical simulations of phototactic algae showed that a thin jet of swimmers, obtained from hydrodynamic focusing inside a Poiseuille flow, was…

Soft Condensed Matter · Physics 2017-01-19 Eric Lauga , Francois Nadal

Turbulence is most commonly associated with high Reynolds number flow, however the framework of turbulent dynamics has been conceptually extended to many other fields, such as magnetohydrodynamic turbulence, elastic wave turbulence in…

Soft Condensed Matter · Physics 2026-03-05 Wilhelm Sunde Lie , Ingve Simonsen , Paul Gunnar Dommersnes

A number of micro-scale biological flows are characterized by spatio-temporal chaos. These include dense suspensions of swimming bacteria, microtubule bundles driven by motor proteins, and dividing and migrating confluent layers of cells. A…

Fluid Dynamics · Physics 2017-08-02 Javier Urzay , Amin Doostmohammadi , Julia M. Yeomans

A dilute non-interacting suspension of micro-swimmers exhibits a finite velocity variance and short-ranged correlations that decay over a swimmer length. For a suspension of interacting straight swimmers, however, pair-interactions leads to…

Soft Condensed Matter · Physics 2020-12-02 Sankalp Nambiar , Piyush Garg , Ganesh Subramanian

Micro-robotics at low Reynolds number has been a growing area of research over the past decade. We propose and study a generalized 3-link robotic swimmer inspired by the planar Purcell's swimmer. By incorporating out-of-plane motion of the…

Robotics · Computer Science 2017-11-15 Sudin Kadam , Ravi Banavar

We study the three-dimensional dynamics of a spherical microswimmer in cylindrical Poiseuille flow which can be mapped onto a Hamiltonian system. Swinging and tumbling trajectories are identified. In 2D they are equivalent to oscillating…

Soft Condensed Matter · Physics 2012-06-18 Andreas Zöttl , Holger Stark

The T-junction impinging flow occurs in many fluid dynamics systems. In particular, the T-junction micromixer has recently been widely used for nanoparticle production, where the two inlet streams operate at a significant flow-rate…

Fluid Dynamics · Physics 2026-05-14 Dongjie Jia , Arezoo Ardekani

Individual computations and social interactions underlying collective behavior in groups of animals are of great ethological, behavioral, and theoretical interest. While complex individual behaviors have successfully been parsed into small…

Neurons and Cognition · Quantitative Biology 2022-06-08 Roy Harpaz , Gašper Tkačik , Elad Schneidman

We study the dynamics and interaction of two swimming bacteria, modeled by self-propelled dumbbell-type structures. We focus on alignment dynamics of a coplanar pair of elongated swimmers, which propel themselves either by pushing" or…

Analysis of PDEs · Mathematics 2008-11-24 Vitaliy Gyrya , Igor S. Aranson , Leonid V. Berlyand , Dmitry Karpeev

Zooplankton live in dynamic environments where turbulence may challenge their limited swimming abilities. How this interferes with fundamental behavioral processes remains elusive. We reconstruct simultaneously the trajectories of flow…

Fluid Dynamics · Physics 2020-12-03 François-Gaël Michalec , Itzhak Fouxon , Sami Souissi , Markus Holzner

Active fluids exhibit chaotic flows at low Reynolds number known as active turbulence. Whereas the statistical properties of the chaotic flows are increasingly well understood, the nature of the transition from laminar to turbulent flows as…

Soft Condensed Matter · Physics 2026-01-08 Malcolm Hillebrand , Ricard Alert

In plane Couette flow, the incompressible fluid between two plane parallel walls is driven by the motion of those walls. The laminar solution, in which the streamwise velocity varies linearly in the wall-normal direction, is known to be…

Fluid Dynamics · Physics 2014-08-28 D. Viswanath

The collective dynamics of externally driven $N_{\rm p}$-colloidal systems ($1\le N_{\rm p}\le 4$) in a confined viscous fluid have been investigated using three-dimensional direct numerical simulations with fully resolved hydrodynamics.…

Soft Condensed Matter · Physics 2018-04-04 Norihiro Oyama , Kosuke Teshigawara , John Jairo Molina , Ryoichi Yamamoto , Takashi Taniguchi

In low Reynolds number swimming and pumping, differently to everyday experience, a net motion (or flow) can be achieved only if the constructing parts of the swimmer (or pump) follow a non-trivial pattern of motion, in order to break time…

Soft Condensed Matter · Physics 2019-06-19 Golnaz Najafi Gol-Vandani , Simone Di Leo , Jurij Kotar , Pietro Cicuta , Seyyed Nader Rasuli

We have developed an experimental setup of very simple self-propelled robots to observe collective motion emerging as a result of inelastic collisions only. A circular pool and commercial RC boats were the basis of our first setup, where we…

We consider a low Reynolds number artificial swimmer that consists of an active arm followed by $N$ passive springs separated by spheres. This setup generalizes an approach proposed in Montino and DeSimone, Eur. Phys. J. E, vol. 38, 2015.…

Numerical Analysis · Mathematics 2023-03-02 François Alouges , Aline Lefebvre-Lepot , Jessie Levillain

Fish display remarkable swimming capabilities through the coordinated interaction of the body and caudal fin, yet the potential role of a passively pitching tail in enhancing hydrodynamic performance remains unresolved. In this work, we…

Fluid Dynamics · Physics 2025-11-06 Dev Pradeepkumar Nayak , Ali Tarokh , Muhammad Saif Ullah Khalid

The calibration and validation of pedestrian simulations require the acquisition of empirical evidences of human behaviour. The current work presents the results of an experiment focused on the potentially combined effect of counter flow…

Multiagent Systems · Computer Science 2016-10-27 Andrea Gorrini , Luca Crociani , Claudio Feliciani , Pengfei Zhao , Katsuhiro Nishinari , Stefania Bandini