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In biological systems, microswimmers often propel themselves through complex media. However, many aspects of swimming mechanisms in non-Newtonian fluids remain unclear. This study considers the propulsion of two types of single spherical…

Fluid Dynamics · Physics 2024-10-14 Takuya Kobayashi , Ryoichi Yamamoto

In this article, we consider a swimmer (i.e. a self-deformable body) immersed in a fluid, the flow of which is governed by the stationary Stokes equations. This model is relevant for studying the locomotion of microorganisms or micro robots…

Analysis of PDEs · Mathematics 2012-03-19 Jérôme Lohéac , Alexandre Munnier

Microorganisms navigate through fluid, often confined by complex environments, to survive and sustain life. Inspired by this fact, we consider a model system and seek to understand the wall curvature driven dynamics of a squirmer, a…

Soft Condensed Matter · Physics 2021-08-25 Chaithanya K. V. S. , Sumesh P. Thampi

We theoretically study the self-propulsion of a thin (slender) colloid driven by asymmetric chemical reactions on its surface at vanishing Reynolds number. Using the method of matched asymptotic expansions, we obtain the colloid…

Soft Condensed Matter · Physics 2018-03-21 Yahaya Ibrahim , Ramin Golestanian , Tanniemola B. Liverpool

The dynamics and motion of multi-ciliated microswimmers with a spherical body and a small number N (with 5 < N < 60) of cilia with length comparable to the body radius, is investigated by mesoscale hydrodynamics simulations. A metachronal…

Soft Condensed Matter · Physics 2024-06-03 Sebastian Rode , Jens Elgeti , Gerhard Gompper

The swimming of an assembly of rigid spheres immersed in a viscous fluid of infinite extent is studied in low Reynolds number hydrodynamics. The instantaneous swimming velocity and rate of dissipation are expressed in terms of the…

Fluid Dynamics · Physics 2015-05-25 B. U. Felderhof

Motile eukaryotic cells propel themselves in viscous fluids by passing waves of bending deformation down their flagella. An infinitely long flagellum achieves a hydrodynamically optimal low-Reynolds number locomotion when the angle between…

Biological Physics · Physics 2010-03-03 Saverio E. Spagnolie , Eric Lauga

Self-propelled particles have been experimentally shown to orbit spherical obstacles and move along surfaces. Here, we theoretically and numerically investigate this behavior for a hydrodynamic squirmer interacting with spherical objects…

Soft Condensed Matter · Physics 2019-07-05 Michael Kuron , Philipp Stärk , Christian Holm , Joost de Graaf

We study, by means of an exact analytical solution, the motion of a spheroidal, axisymmetric squirmer in an unbounded fluid, as well as the low Reynolds number hydrodynamic flow associated to it. In contrast to the case of a spherical…

Fluid Dynamics · Physics 2020-11-30 Ruben Poehnl , Mihail N. Popescu , William E. Uspal

We investigate the self-locomotion of an elongated microswimmer by virtue of the unidirectional tangential surface treadmilling. We show that the propulsion could be almost frictionless, as the microswimmer is propelled forward with the…

Fluid Dynamics · Physics 2009-11-13 Alexander M. Leshansky , Oded Kenneth , Omri Gat , Joseph E. Avron

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

Micro-organisms expend energy moving through complex media. While propulsion speed is an important property of locomotion, efficiency is another factor that may determine the swimming gait adopted by a micro-organism in order to locomote in…

Fluid Dynamics · Physics 2017-12-14 Herve Nganguia , Kyle Pietrzyk , On Shun Pak

Coastal erosion describes the displacement of sand caused by the movement induced by tides, waves or currents. Some of its wave phenomena are modeled by Helmholtz-type equations. Our purposes, in this paper are, first, to study optimal…

Numerical Analysis · Mathematics 2022-07-05 Mame Gor Ngom , Ibrahima Faye , Diaraf Seck

Squirmers are models of a class of microswimmers, such as ciliated organisms and phoretic particles, that self-propel in fluids without significant deformation of their body shape. Available techniques for their simulation are based on the…

Numerical Analysis · Mathematics 2019-03-20 Stevens Paz Sánchez , Gustavo C. Buscaglia

From bacteria and sperm cells to artificial microrobots, self-propelled microscopic objects at low Reynolds numbers often perceive fluctuating mechanical and chemical stimuli and contact exterior wall boundaries both in nature and the…

Soft Condensed Matter · Physics 2023-12-22 Yoshiki Hiruta , Kenta Ishimoto

Finding the fastest path to a desired destination is a vitally important task for microorganisms moving in a fluid flow. We study this problem by building an analytical formalism for overdamped microswimmers on curved manifolds and…

Biological Physics · Physics 2021-05-26 Lorenzo Piro , Evelyn Tang , Ramin Golestanian

The mechanism of swimming at very low Reynolds number conditions is a topic of interest to biologists and engineering community. We develop a novel kinematic model of a slender flexible swimmer which locomotes in a low Reynolds number…

Systems and Control · Computer Science 2018-03-26 Sudin Kadam , Ravi N. Banavar

We use the boundary element method to study the low-Reynolds number locomotion of a spherical model microorganism in a circular tube. The swimmer propels itself by tangen- tial or normal surface motion in a tube whose radius is on the order…

Fluid Dynamics · Physics 2013-06-11 Lailai Zhu , Eric Lauga , Luca Brandt

We study synchronization in bulk suspensions of spherical microswimmers with chiral trajectories using large scale numerics. The model is generic. It corresponds to the lowest order solution of a general model for self-propulsion at low…

Soft Condensed Matter · Physics 2023-01-18 Sotiris Samatas , Juho S. Lintuvuori

We illustrate a concept for shape-changing microswimmers, which exploits the hysteresis of a shape transition of an elastic object, by an elastic disk undergoing cyclic localized swelling. Driving the control parameter of a hysteretic shape…

Soft Condensed Matter · Physics 2020-12-29 Christian Wischnewski , Jan Kierfeld