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Several micro-organisms, such as bacteria, algae, or spermatozoa, use flagella or cilia to swim in a fluid, while many other micro-organisms instead use ample shape deformation, described as amoeboid, to propel themselves by either crawling…

Biological Physics · Physics 2016-09-19 Hao Wu , A. Farutin , W. -F. Hu , M. Thiébaud , S. Rafaï , P. Peyla , M. -C. Lai , C. Misbah

Many microswimmers are able to swim through viscous fluids by employing periodic non-reciprocal deformations of their appendages. Here we use a simple microswimmer model inspired by swimming biflagellates which consists of a spherical cell…

Soft Condensed Matter · Physics 2025-08-22 Sridhar Bulusu , Andreas Zöttl

We combine a general formulation of microswimmmer equations of motion with a numerical bead-shell model to calculate the hydrodynamic interactions with the fluid, from which the swimming speed, power and efficiency are extracted. From this…

Soft Condensed Matter · Physics 2017-03-07 Bram Bet , Gijs Boosten , Marjolein Dijkstra , René van Roij

This article presents a computational approach for determining the optimal slip velocities on any given shape of an axisymmetric micro-swimmer suspended in a viscous fluid. The objective is to minimize the power loss to maintain a target…

Fluid Dynamics · Physics 2021-02-03 Hanliang Guo , Hai Zhu , Ruowen Liu , Marc Bonnet , Shravan Veerapaneni

We study the fluid drift due to a time-dependent dumbbell model of a microswimmer. The model captures important aspects of real microswimmers such as a time-dependent flagellar motion and a no-slip body. The model consists of a rigid sphere…

Soft Condensed Matter · Physics 2017-02-01 Peter Mueller , Jean-Luc Thiffeault

An optimal microswimmer with a given geometry has a surface velocity profile that minimizes energy dissipation for a given swimming speed. An axisymmetric swimmer can be puller-, pusher-, or neutral-type depending on the sign of the…

Fluid Dynamics · Physics 2024-10-08 Rafe Md Abu Zayed , Arezoo M. Ardekani , Amir Nourhani

We consider a swimmer consisting of a collinear assembly of three spheres connected by two slender rods. This swimmer can propel itself forward by varying the lengths of the rods in a way that is not invariant under time reversal. Although…

Fluid Dynamics · Physics 2019-07-09 Babak Nasouri , Andrej Vilfan , Ramin Golestanian

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

We propose minimal models of one-, two- and three-dimensional micro-swimmers at low Reynolds number with a periodic non-reciprocal motion. These swimmers are either "pushers" or "pullers" of fluid along the swimming axis, or combination of…

Soft Condensed Matter · Physics 2010-04-30 Nobuhiko Watari , Ronald G. Larson

Optimal gait design is important for micro-organisms and micro-robots that propel themselves in a fluid environment in the absence of external force or torque. The simplest models of shape changes are those that comprise a series of…

Fluid Dynamics · Physics 2019-10-01 Qixuan Wang

Swimming consists by definition in propelling through a fluid by means of bodily movements. Thus, from a mathematical point of view, swimming turns into a control problem for which the controls are the deformations of the swimmer. The aim…

Optimization and Control · Mathematics 2017-02-15 Thomas Chambrion , Laetitia Giraldi , Alexandre Munnier

Computational models of aquatic locomotion range from individual modest simple swimmers in 2D to sophisticated 3D individual swimmers to complex multi-swimmer models that attempt to parse collective behavioral dynamics. Each of these models…

Fluid Dynamics · Physics 2020-07-31 Nicholas A. Battista

Efficient locomotion is important for the evolution of complex life, yet the physical principles selecting specific swimming strokes often remain entangled with biological constraints. In viscous fluids, the scallop theorem constrains the…

Biological Physics · Physics 2026-03-11 Takahiro Kanazawa , Kenta Ishimoto , Kyogo Kawaguchi

The swimming of a two-sphere system oscillating in a viscous fluidis studied on the basis of simplified equations of motion which take account of both friction and inertial effects. In the model the friction follows from an Oseen…

Soft Condensed Matter · Physics 2022-08-17 B. U. Felderhof

Artificial microswimmers, nano and microrobots, are essential in many applications from engineering to biology and medicine. We present a Stokesian Dynamics study of the dynamical properties and efficiency of one of the simplest artificial…

Soft Condensed Matter · Physics 2022-03-04 I. Berdakin , V. I. Marconi , Adolfo J. Banchio

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

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

Cilia and flagella are actively bending slender organelles, performing functions such as motility, feeding and embryonic symmetry breaking. We review the mechanics of viscous-dominated microscale flow, including time-reversal symmetry, drag…

Quantitative Methods · Quantitative Biology 2013-09-06 Thomas D. Montenegro-Johnson , Andrew A. Smith , David J. Smith , Daniel Loghin , John R. Blake

The swimming of a spheroid immersed in a viscous fluid and performing surface deformations periodically in time is studied on the basis of Stokes equations of low Reynolds number hydrodynamics. The average over a period of time of the…

Fluid Dynamics · Physics 2016-11-23 B. U. Felderhof

The swimming of a pair of spherical bladders that change their volumes and mutual distance is efficient at low Reynolds numbers and is superior to other models of artificial swimmers. The change of shape resembles the wriggling motion known…

Mathematical Physics · Physics 2009-11-11 J. E. Avron , O. Kenneth , D. H. Oaknin
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