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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

We propose a computational method to solve optimal swimming problems, based on the boundary integral formulation of the hydrodynamic interaction between swimmer and surrounding fluid and direct constrained minimization of the energy…

Numerical Analysis · Mathematics 2010-04-19 François Alouges , Antonio DeSimone , Luca Heltai

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

We discuss a micro-swimmer model made of three spheres actuated by an internal active time-periodic force, tied by an elastic potential and submitted to hydrodynamic interactions with thermal noise. The dynamical approach we use, replacing…

Soft Condensed Matter · Physics 2023-11-23 R. Ferretta , R. Di Leonardo , A. Puglisi

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

In view of the growing role of magnetic particles under magnetic field influence in medical and other applications, and perforce the bead chaining, it is important to understand more generally the chain dynamics. As is well known, in the…

Fluid Dynamics · Physics 2024-04-09 Robert J. Deissler , Rose Al Helo , Robert Brown

Spermatozoa self-propel by propagating bending waves along a predominantly active elastic flagellum. The organized structure of the "9 + 2" axoneme is lost in the most-distal few microns of the flagellum, and therefore this region is…

Motivated by recent advances in vesicle engineering, we consider theoretically the locomotion of shape-changing bilayer vesicles at low Reynolds number. By modulating their volume and membrane composition, the vesicles can be made to change…

Biological Physics · Physics 2010-04-09 Arthur A. Evans , Saverio E. Spagnolie , Eric Lauga

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 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

We use a three-bead-spring model to investigate the dynamics of bi-flagellate micro-swimmers near a surface. While the primary dynamics and scattering are governed by geometric-dependent direct contact, the fluid flows generated by the…

Biological Physics · Physics 2017-08-17 Enkeleida Lushi , Vasily Kantsler , Raymond E. Goldstein

Many microorganisms swim through gels and non-Newtonian fluids in their natural environments. In this paper, we focus on microorganisms which use flagella for propulsion. We address how swimming velocities are affected in nonlinearly…

Biological Physics · Physics 2010-04-07 Henry C. Fu , Charles W. Wolgemuth , Thomas R. Powers

Many biological microorganisms and artificial microswimmers react to external cues of environmental gradients by changing their swimming directions. We study here the behavior of eukarytic flagellated microswimmers in linear viscosity…

Soft Condensed Matter · Physics 2026-05-29 Shubham Anand , Jens Elgeti , Gerhard Gompper

The propulsion of many eukaryotic cells is generated by flagella, flexible slender filaments that are actively oscillating in space and time. The dynamics of these biological appendages have inspired the design of many types of artificial…

Soft Condensed Matter · Physics 2025-04-15 Mariia Dvoriashyna , Eric Lauga

Flagella are hair-like appendages attached to microorganisms that allow the organisms to traverse their fluid environment. The algae Volvox are spherical swimmers with thousands of individual flagella on their surface and their coordination…

Fluid Dynamics · Physics 2020-10-07 Forest Mannan , Miika Jarvela , Karin Leriderman

We employ a multi-phase smoothed particle hydrodynamics (SPH) method to study droplet dynamics in shear flow. With an extensive range of Reynolds number, capillary number, wall confinement, and density/viscosity ratio between the droplet…

Fluid Dynamics · Physics 2023-07-07 Kuiliang Wang , Hong Liang , Chong Zhao , Xin Bian

We investigate a self-organized swimmer at low Reynolds numbers. The microscopic swimmer is composed of three spheres that are connected by two identical active linker arms. Each linker arm contains molecular motors and elastic elements and…

Biological Physics · Physics 2009-09-30 Stefan Gunther , Karsten Kruse

Swimming cells and microorganisms are a critical component of many biological processes. In order to better interpret experimental studies of low Reynolds number swimming, we combine experimental and numerical methods to perform an analysis…

Fluid Dynamics · Physics 2016-09-14 Thomas D. Montenegro-Johnson , David A. Gagnon , Paulo E. Arratia , Eric Lauga

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

E. M. Purcell showed that a body has to perform non-reciprocal motion in order to propel itself in a highly viscous environment. The swimmer with one degree of freedom is bound to do reciprocal motion, whereby the center of mass of the…

Soft Condensed Matter · Physics 2017-08-24 Priyanka Choudhary , Subhayan Mandal , Sujin B. Babu
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