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The humble Petri dish is perhaps the simplest setting in which to examine the locomotion of swimming organisms, particularly those whose body size is tens of microns to millimetres. The fluid layer in such a container has a bottom no-slip…

Soft Condensed Matter · Physics 2024-02-14 George T. Fortune , Eric Lauga , Raymond E. Goldstein

Vortical flows of rotating particles describe interactions ranging from molecular machines to atmospheric dynamics. Yet to date, direct observation of the hydrodynamic coupling between artificial micro-rotors has been restricted by the…

Soft Condensed Matter · Physics 2023-08-02 Matan Yah Ben Zion , Alvin Modin , Paul M. Chaikin

We analyze a minimal model for a rigid spherical microswimmer and explore the consequences of its extended surface on the interplay between its self-propulsion and flow properties. The model is the first order representation of…

Soft Condensed Matter · Physics 2017-12-06 Tapan Chandra Adhyapak , Sara Jabbari-Farouji

A four-parameter kinematic model for the position of a fluid parcel in a time-varying ellipse is introduced. For any ellipse advected by an arbitrary linear two-dimensional flow, the rates of change of the ellipse parameters are uniquely…

Atmospheric and Oceanic Physics · Physics 2018-02-13 J. M. Lilly

We consider a suspension of active rigid particles (swimmers) in a steady Stokes flow, where particles are distributed according to a stationary ergodic random process, and we study its homogenization in the macroscopic limit. A key point…

Analysis of PDEs · Mathematics 2023-03-15 Armand Bernou , Mitia Duerinckx , Antoine Gloria

We present experimental results on the Stokes experiment performed in a 3D dry liquid foam. The system is used as a rheometric tool : from the force exerted on a 1cm glass bead, plunged at controlled velocity in the foam in a quasi static…

Soft Condensed Matter · Physics 2009-11-11 Isabelle Cantat , Olivier Pitois

Steady swimming appears both periodic and stable. These characteristics are the very definition of limit cycles, and so we ask "Can we view swimming as a limit cycle?" In this paper we will not be able to answer this question in full.…

Dynamical Systems · Mathematics 2015-08-05 Henry O. Jacobs

We present a simple model for bacteria like \emph{Escherichia coli} swimming near solid surfaces. It consists of two spheres of different radii connected by a dragless rod. The effect of the flagella is taken into account by imposing a…

Fluid Dynamics · Physics 2015-06-03 Jocelyn Dunstan , Gastón Miño , Eric Clement , Rodrigo Soto

We present a unified discussion of three types of near-spherical amoeboid microswimmers, driven by periodic, axially symmetric, achiral deformations (swim strokes): a solid deformable body, a vesicle with incompressible fluid membrane, and…

Soft Condensed Matter · Physics 2025-02-13 Reiner Kree , Annette Zippelius

The wake behind a sphere, rotating about an axis aligned with the streamwise direction, has been experimentally investigated in a low-velocity water tunnel using LIF visualizations and PIV measurements. The measurements focused on the…

Fluid Dynamics · Physics 2018-01-31 Maciej Skarysz , Jacek Rokicki , Sophie Goujon-Durand , Jose Eduardo Wesfreid

Unlike macroscopic swimmers, microswimmers operate in a low-Reynolds-number regime dominated by viscous forces. This paper investigates the controllability of a magnetic microswimmer composed of a spherical magnetic head and an elastic,…

Optimization and Control · Mathematics 2025-11-05 Lucas Palazzolo , Mickaël Binois , Laëtitia Giraldi

Among several models for microswimmers, the three-sphere microswimmer proposed by Najafi and Golestanian captures the essential mechanism for the locomotion of a microswimmer in a viscous fluid. Owing to its simplicity and flexibility, the…

Soft Condensed Matter · Physics 2023-08-22 Kento Yasuda , Yuto Hosaka , Shigeyuki Komura

The unsteady hydrodynamic drag exerted on an oscillating sphere near a planar wall is addressed experimentally, theoretically, and numerically. The experiments are performed by using colloidal-probe Atomic Force Microscopy (AFM) in thermal…

We study the effects of hydrodynamic interactions between a wall and the Purcell three-link swimmer in the two-dimensional case. After deriving the equations of motion in a low Reynolds number regime using Resistive Force Theory with…

Fluid Dynamics · Physics 2026-03-19 Enrico Micalizio , Marco Morandotti , Henry Shum , Marta Zoppello

The aim of this paper is to derive an analytical expression for the self-propulsion velocity of a micro-swimmer that consists of N spheres moving along a fixed line. The spheres are linked to each other by the rods of the prescribed lengths…

Fluid Dynamics · Physics 2012-06-06 Vladimir A. Vladimirov

Understanding the transport of driven nano- and micro-particles in complex fluids is of relevance for many biological and technological applications. Here we perform hydrodynamic multiparticle collision dynamics simulations of spherical and…

Soft Condensed Matter · Physics 2019-04-03 Andreas Zöttl , Julia M. Yeomans

The observed behaviour of passive objects in simple flows can be surprisingly intricate, and is complicated further by object activity. Inspired by the motility of bacterial swimmers, in this two-part study we examine the three-dimensional…

The problem of accretion of small particles by a sphere embedded in a mean flow is studied in the case where the particles undergo inelastic collisions with the solid object. The collision efficiency, which gives the flux of particles…

Fluid Dynamics · Physics 2018-02-21 Robin Vallée , Christophe Henry , Elie Hachem , Jérémie Bec

The coupled problem of hydrodynamics and solute transport for the Najafi-Golestanian three-sphere swimmer is studied, with the Reynolds number set to zero and P\'eclet numbers (Pe) ranging from 0.06 to 60. The adopted method is the…

Machine Learning · Computer Science 2022-11-23 Stevens Paz , Roberto F. Ausas , Juan P. Carbajal , Gustavo C. Buscaglia

In this article, we are interested in studying locomotion strategies for a class of shape-changing bodies swimming in a fluid. This class consists of swimmers subject to a particular linear dynamics, which includes the two most investigated…

Mathematical Physics · Physics 2010-08-09 Alexandre Munnier , Thomas Chambrion