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We consider arbitrary-shaped microswimmers of spherical topology and propose a framework for expressing their slip velocity in terms of tangential basis functions defined on the boundary of the swimmer using the Helmholtz decomposition.…

Fluid Dynamics · Physics 2026-04-14 Kausik Das , Hai Zhu , Marc Bonnet , Shravan Veerapaneni

Few simulations exist for microswimmers near deformable interfaces. Here, we present numerical simulations of the hydrodynamic flows associated with a single microswimmer embedded in a binary fluid mixture. The two fluids demix, separated…

Soft Condensed Matter · Physics 2022-05-24 Chao Feng , John J. Molina , Matthew S. Turner , Ryoichi Yamamoto

We experimentally study a scallop-like swimmer with reciprocally flapping wings in a nearly frictionless, cohesive granular medium consisting of hydrogel spheres. Significant locomotion is found when the swimmer's flapping frequency matches…

Soft Condensed Matter · Physics 2026-04-29 Hongyi Xiao , Jing Wang , Achim Sack , Ralf Stannarius , Thorsten Pöschel

We study the dynamics and the statistics of dilute suspensions of gyrotactic swimmers, a model for many aquatic motile microorganisms. By means of extensive numerical simulations of the Navier-Stokes equations at different Reynolds numbers,…

Fluid Dynamics · Physics 2021-04-13 Matteo Borgnino , Guido Boffetta , Filippo De Lillo , Massimo Cencini

We theoretically describe the dynamics of swimmer populations confined in thin liquid films. We first demonstrate that hydrodynamic interactions between confined swimmers only depend on their shape and are independent of their specific…

Soft Condensed Matter · Physics 2015-06-11 Tommaso Brotto , Jean-Baptiste Caussin , Eric Lauga , Denis Bartolo

A variety of swimming microorganisms, called ciliates, exploit the bending of a large number of small and densely-packed organelles, termed cilia, in order to propel themselves in a viscous fluid. We consider a spherical envelope model for…

Fluid Dynamics · Physics 2011-08-30 Sebastien Michelin , Eric Lauga

We theoretically study in detail the hydrodynamic coupling of two equal-sized colloidal spheres at low Reynolds numbers assuming the particles to be harmonically trapped with respect to both their positions and orientations. By taking into…

Soft Condensed Matter · Physics 2007-05-23 Michael Reichert , Holger Stark

We describe the consequences of time reversal invariance of the Stokes' equations for the hydrodynamic scattering of two low Reynolds number swimmers. For swimmers that are related to each other by a time reversal transformation this leads…

Soft Condensed Matter · Physics 2009-11-13 G. P. Alexander , C. M. Pooley , J. M. Yeomans

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

The aim of this paper is to describe the self-propulsion of a micro-robot (or micro-swimmer) consisting of $N$ spheres moving along a fixed line. The spheres are linked to each other by arms with the lengths changing periodically. For the…

Fluid Dynamics · Physics 2015-06-11 Vladimir A. Vladimirov

Most bacteria are driven by the cilia or flagella, consisting of a long filament and a rotary molecular motor through a short flexible hook. The beating pattern of these filaments shows synchronization properties from hydrodynamic…

Fluid Dynamics · Physics 2023-11-23 Weiwei Su , Yuki Izumida , Hiroshi Kori

Synthetic microswimmers show great promise in biomedical applications such as drug delivery and microsurgery. Their locomotion, however, is subject to stringent constraints due to the dominance of viscous over inertial forces at low…

Fluid Dynamics · Physics 2020-07-15 Alan Cheng Hou Tsang , Pun Wai Tong , Shreyes Nallan , On Shun Pak

We present a study of the hydrodynamics of an active particle, a model squirmer, in an envi- ronment with a broken rotational symmetry: a nematic liquid crystal. By combining simulations with analytic calculations, we show that the…

Soft Condensed Matter · Physics 2017-08-16 Juho S. Lintuvuori , Alois Würger , Kevin Stratford

The swimming of a two-sphere system and of a three-sphere chain in an incompressible viscous fluid is studied on the basis of simplified equations of motion which take account of both Stokes friction and added mass effects. The analysis is…

Fluid Dynamics · Physics 2017-01-04 B. U. Felderhof

Purcell's planar three-link microswimmer is a classic model of swimming in low-Reynolds-number fluid, inspired by motion of flagellated microorganisms. Many works analyzed this model, assuming that the two joint angles are directly…

Fluid Dynamics · Physics 2024-07-19 Anna Zigelman , Gilad Ben Zvi , Yizhar Or

We introduce a phenomenological theory for a new class of soft active fluids, with the ability to synchronise. Our theoretical framework describes the macroscopic behaviour of a collection of interacting anisotropic elements with cyclic…

Soft Condensed Matter · Physics 2015-06-16 M. Leoni , T. B. Liverpool

Metachronal paddling is a swimming strategy in which an organism oscillates sets of adjacent limbs with a constant phase lag, propagating a metachronal wave through its limbs and propelling it forward. This limb coordination strategy is…

Fluid Dynamics · Physics 2025-07-28 Alana A. Bailey , Robert D. Guy

The dynamics of periodic swimming is studied for two models of a deformable sphere, the dipole-quadrupole model and the quadrupole-octupole model. For the two models the solution of the Navier-Stokes equations can be found exactly to second…

Fluid Dynamics · Physics 2019-12-18 B. U. Felderhof , R. B. Jones

The hydrodynamic interactions of a suspension of self-propelled particles are studied using a direct numerical simulation method which simultaneously solves for the host fluid and the swimming particles. A modified version of the "Smoothed…

Soft Condensed Matter · Physics 2013-01-15 John J. Molina , Yasuya Nakayama , Ryoichi Yamamoto

Swimming cells often have to self-propel through fluids displaying non-Newtonian rheology. While past theoretical work seems to indicate that stresses arising from complex fluids should systematically hinder low-Reynolds number locomotion,…

Biological Physics · Physics 2015-06-30 Yi Man , Eric Lauga
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