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We simulate the self-propulsion of devices in a fluid in the regime of low Reynolds numbers. Each device consists of three bodies (spheres or capsules) connected with two damped harmonic springs. Sinusoidal driving forces compress the…

Computational Engineering, Finance, and Science · Computer Science 2011-08-20 Kristina Pickl , Jan Götz , Klaus Iglberger , Jayant Pande , Klaus Mecke , Ana-Suncana Smith , Ulrich Rüde

The majority of studies on self-propelled particles and microswimmers concentrates on objects that do not feature a deterministic bending of their trajectory. However, perfect axial symmetry is hardly found in reality, and shape-asymmetric…

Statistical Mechanics · Physics 2018-07-18 Christian Hoell , Hartmut Löwen , Andreas M. Menzel

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

Active dumbbell suspensions constitute one of the simplest model system for collective swimming at low Reynolds number. Generalizing recent work, we derive and analyze stroke-averaged equations of motion that capture the effective…

Soft Condensed Matter · Physics 2010-10-12 Victor B. Putz , Jörn Dunkel

It has been recently shown that it is possible to design simple artificial swimmers at low Reynoldsnumber that possess only one degree of freedom and, nevertheless, can overcome Purcell's celebratedscallop theorem. One of the few examples…

Soft Condensed Matter · Physics 2024-03-20 Jessie Levillain , François Alouges , Antonio Desimone , Akash Choudhary , Sankalp Nambiar , Ida Bochert

Microswimming cells and robots exhibit diverse behaviours due to both their swimming and their environment. One of the core environmental features impacting inertialess swimming is background flows. While the influence of select flows,…

Fluid Dynamics · Physics 2025-10-30 Eamonn A. Gaffney , Kenta Ishimoto , Benjamin J. Walker

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

The problem of optimization of a cycle of tangential deformations of the surface of a spherical object (microsquirmer) self-propelling in a viscous fluid at low Reynolds numbers is represented in a noncanonical Hamiltonian form. The…

Fluid Dynamics · Physics 2019-07-11 Victor P. Ruban

We study the trajectories of a model microorganism inside three-dimensional channels with square and rectangular cross-sections. Using (i) numerical simulations based on lattice-Boltzmann method, and (ii) analytical expressions using…

Soft Condensed Matter · Physics 2024-08-16 Byjesh N. Radhakrishnan , Ahana Purushothaman , Ranabir Dey , Sumesh P Thampi

Persistent motion of microswimmers near boundaries is known to result in surface accumulation. Recently it was shown experimentally that surface accumulation of microswimmers is impacted primarily by steric forces and short-ranged…

Soft Condensed Matter · Physics 2025-07-22 Danne M. van Roon , Giorgio Volpe , Margarida M. Telo da Gama , Nuno A. M. Araújo

We theoretically investigate the effect of random fluctuations on the motion of elongated microswimmers near hydrodynamic transport barriers in externally-driven fluid flows. Focusing on the two-dimensional hyperbolic flow, we consider the…

Fluid Dynamics · Physics 2022-02-03 Simon A. Berman , Kevin A. Mitchell

Cell motility in viscous fluids is ubiquitous and affects many biological processes, including reproduction, infection, and the marine life ecosystem. Here we review the biophysical and mechanical principles of locomotion at the small…

Soft Condensed Matter · Physics 2009-09-16 Eric Lauga , Thomas R. Powers

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

Low Reynolds number swimmers frequently move near boundaries, such as spirochetes moving through porous tissues and sperm navigating the reproductive tract. Furthermore, these microorganisms must often navigate non-Newtonian fluids such as…

Fluid Dynamics · Physics 2023-11-10 D. Gagnon , B. Thomases , R. D. Guy , P. E. Arratia

We present a generalized, 3 dimensional version of the Purcell's swimmer which is a planar mechanism locomoting at low Reynlods number regime. We use Cox theory and resistive force theory to come up with the forces acting on the system. We…

Robotics · Computer Science 2016-10-11 Sudin Kadam , Ravi Banavar

Microorganisms and synthetic microswimmers often encounter complex environments consisting of networks of obstacles embedded into viscous fluids. Such settings include biological media, such as mucus with filamentous networks, as well as…

We address the swimming problem at low Reynolds number. This regime, which is typically used for micro-swimmers, is described by Stokes equations. We couple a PDE solver of Stokes equations, derived from the Feel++ finite elements library,…

Analysis of PDEs · Mathematics 2019-11-28 Luca Berti , Laetitia Giraldi , Christophe Prud'Homme

Microorganisms thrive in complex environments and their behavior in fluids holds significant importance for various medical and industrial applications. By conducting Lattice Boltzmann simulations, the transport and rotational properties of…

Soft Condensed Matter · Physics 2025-03-25 Yuan Zhou , Kai Qi , Marco De Corato , Kevin Stratford , Ignacio Pagonabarraga

The swimming of an elliptical disk at small Reynolds number is studied on the basis of a perturbative solution of the Navier-Stokes equations for fluid flow near a deformable infinite sheet. A stroke involving an elliptically polarized…

Fluid Dynamics · Physics 2016-12-21 B. U. Felderhof

Micro-swimmers put into motion by a rotating magnetic field have provided interesting challenges both in engineering and in mathematical modelling. We study here the dynamics of a permanent-magnetic rigid body submitted to a…

Dynamical Systems · Mathematics 2018-07-25 Pauline Rüegg-Reymond , Thomas Lessinnes