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Near a solid boundary, E. coli swims in clockwise circular motion. We provide a hydrodynamic model for this behavior. We show that circular trajectories are natural consequences of force-free and torque-free swimming, and the hydrodynamic…

Soft Condensed Matter · Physics 2016-08-31 Eric Lauga , Willow R. DiLuzio , George M. Whitesides , Howard A. Stone

We present new constrained and free-swimming experiments and simulations of a pair of pitching hydrofoils interacting in a minimal school. The hydrofoils have an out-of-phase synchronization and they are varied through in-line, staggered,…

Fluid Dynamics · Physics 2023-08-01 Pedro Costa Ormonde , Melike Kurt , Amin Mivehchi , Keith W. Moored

We study theoretically the behavior of a class of hydrodynamic dipoles. This study is motivated by recent experiments on synthetic and biological swimmers in microfluidic \textit{Hele-Shaw} type geometries. Under such confinement, a…

Fluid Dynamics · Physics 2015-09-30 Eva Kanso , Alan Tsang

Biological and artificial microswimmers often have to propel through a variety of environments, ranging from heterogeneous suspending media to strong geometrical confinement. Under confinement, local flow fields generated by microswimmers,…

Soft Condensed Matter · Physics 2024-06-04 Florian A. Overberg , Gerhard Gompper , Dmitry A. Fedosov

We use particle simulations to reveal two distinct propulsion mechanisms for a scallop-like swimmer to locomote itself in granular media by reciprocally flapping its wings. Based on the discrete element method, we examine the kinematics and…

Soft Condensed Matter · Physics 2025-10-28 Amir Nazemi , Hongyi Xiao

We study the orientational and translational dynamics of spherical microswimmers trapped at fluid interfaces, in terms of the force dipole and source dipole components of their flow field. Using numerical simulations and analytical…

Soft Condensed Matter · Physics 2022-04-26 Harinadha Gidituri , Zaiyi Shen , Alois Wurger , Juho S. Lintuvuori

Any swimmer embedded on a inertialess fluid must perform a non-reciprocal motion to swim forward. The archetypal demonstration of this unique motion-constraint was introduced by Purcell with the so-called "scallop theorem". Scallop here is…

Optimization and Control · Mathematics 2021-11-29 Marta Zoppello , Marco Morandotti , Hermes Bloomfield-Gadêlha

Simple, linear equations relate microscopic swimmers to the corresponding gliders and pumps. They have the following set of consequences: The swimming velocity of free swimmers can be inferred from the force on the tethered swimmer and vice…

Fluid Dynamics · Physics 2010-07-28 J. E. Avron , O. Raz

The motion of biological micro-robots -- similar to that of swimming microorganisms such as bacteria or spermatozoa -- is governed by different physical rules than what we experience in our daily life. This is particularly due to the…

Applied Physics · Physics 2019-09-11 Mohsen Saadat , Mehdi Mirzakhanloo , Julie Shen , Masayoshi Tomizuka , Mohammad-Reza Alam

Swimming micro-organisms such as bacteria or spermatozoa are typically found in dense suspensions, and exhibit collective modes of locomotion qualitatively different from that displayed by isolated cells. In the dilute limit where…

Biological Physics · Physics 2010-05-02 Sebastien Michelin , Eric Lauga

We analyse a simple 'Stokesian squirmer' model for the enhanced mixing due to swimming micro-organisms. The model is based on a calculation of Thiffeault & Childress [Physics Letters A, 374, 3487 (2010), arXiv:0911.5511], where fluid…

Fluid Dynamics · Physics 2013-09-24 Zhi Lin , Jean-Luc Thiffeault , Stephen Childress

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

We calculate the hydrodynamic force on a small spherical, unsteady squirmer moving with a time-dependent velocity in a fluid at rest, taking into account convective and unsteady fluid inertia effects in perturbation theory. Our results…

Fluid Dynamics · Physics 2023-12-20 T. Redaelli , F. Candelier , R. Mehaddi , C. Eloy , B. Mehlig

The hydrodynamics of a flagellated microorganism is investigated when swimming close to a planar free-slip surface by means of numerical solu- tions of the Stokes equations obtained via a Boundary Element Method. Depending on the initial…

Fluid Dynamics · Physics 2017-03-31 Daniela Pimponi , Mauro Chinappi , Paolo Gualtieri , Carlo Massimo Casciola

We investigate the low Reynolds number hydrodynamics of a spherical swimmer with a predominantly hydrophobic surface, except for a hydrophilic active patch. This active patch covers a portion of the surface and exhibits chiral activity that…

Fluid Dynamics · Physics 2024-11-20 Shiba Biswas , P. S. Burada , G. P. Raja Sekhar

After colliding with a surface, microswimmers reside there during the detention time. They accumulate and may form complex structures such as biofilms. We introduce a general framework to calculate the distribution of detention times using…

Soft Condensed Matter · Physics 2015-07-21 Konstantin Schaar , Andreas Zöttl , Holger Stark

We present a hydrodynamic study of a monolayer of squirmer model microswimmers confined to a boundary by strong gravity using the simulation method of multi-particle collision dynamics. The squirmers interact with each other via their…

Soft Condensed Matter · Physics 2019-07-23 Jan-Timm Kuhr , Felix Rühle , Holger Stark

Natural habitats of most living microorganisms are distinguished by a complex structure often formed by a porous medium such as soil. The dynamics and transport properties of motile microorganisms are strongly affected by crowded and…

Soft Condensed Matter · Physics 2023-06-23 Florian von Rüling , Liubov Bakhchova , Ulrike Steinmann , Alexey Eremin

Micro-swimmer locomotion in heterogeneous media is increasingly relevant in biological physics due to the prevalence of microorganisms in complex environments. A model for such porous media is the Brinkman fluid which accounts for a sparse…

Fluid Dynamics · Physics 2026-02-05 Francisca Guzman-Lastra , Enkeleida Lushi

The net steady state flow pattern of a distorting sphere is studied in the framework of the bilinear theory of swimming at low Reynolds number. It is argued that the starting point of a theory of interacting active particles should be based…

Fluid Dynamics · Physics 2015-05-20 B. U. Felderhof