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Small-scale locomotion plays an important role in biology. Different modelling approaches have been proposed in the past. The simplest model is an infinite inextensible two-dimensional waving sheet, {originally introduced by Taylor}, which…

Fluid Dynamics · Physics 2010-04-09 On Shun Pak , Eric Lauga

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

Low Reynolds number direct simulations of large populations of hydrodynamically interacting swimming particles confined between planar walls are performed. The results of simulations are compared with a theory that describes dilute…

Fluid Dynamics · Physics 2015-05-13 Juan P. Hernandez-Ortiz , Patrick T. Underhill , Michael D. Graham

A simple way to generate propulsion at low Reynolds number is to periodically oscillate a passive flexible filament. Here we present a macroscopic experimental investigation of such a propulsive mechanism. A robotic swimmer is constructed…

Soft Condensed Matter · Physics 2008-10-02 Tony S. Yu , Eric Lauga , A. E. Hosoi

Inspired by the classical Kepler and Rutherford problem, we investigate an analogous set-up in the context of active microswimmers: the behavior of a deformable microswimmer in a swirl flow. First we identify new steady bound states in the…

Soft Condensed Matter · Physics 2014-09-11 Mitsusuke Tarama , Andreas M. Menzel , Hartmut Löwen

Unsteadiness occurs in the low Reynolds number swimmers' motion while they start from rest or escape from a predator or attack prey. In this paper, we study an unsteady chiral swimmer's behavior, with a prescribed surface slip velocity, in…

Fluid Dynamics · Physics 2022-04-20 Ruma Maity , P. S. Burada

The dynamic resistance of a sphere with a general inhomogeneous slip boundary condition is analysed in Newtonian unbounded uniform flow at low Reynolds number. The boundary condition is treated as a perturbation to a homogeneous sphere,…

Fluid Dynamics · Physics 2009-11-13 Geoff Willmott

Micro-swimmer locomotion in heterogeneous media is increasingly relevant in biological physics due to the prevalence of microorganisms in complex environments. A model for such porous media is the Brinkman fluid which accounts for a sparse…

Fluid Dynamics · Physics 2026-02-05 Francisca Guzman-Lastra , Enkeleida Lushi

We study the orientational and translational dynamics of spherical microswimmers trapped at fluid interfaces, in terms of the force dipole and source dipole components of their flow field. Using numerical simulations and analytical…

Soft Condensed Matter · Physics 2022-04-26 Harinadha Gidituri , Zaiyi Shen , Alois Wurger , Juho S. Lintuvuori

This work aims at finding optimal navigation policies for thin, deformable microswimmers that progress in a viscous fluid by propagating a sinusoidal undulation along their slender body. These active filaments are embedded in a prescribed,…

Fluid Dynamics · Physics 2023-02-13 Zakarya El Khiyati , Raphael Chesneaux , Laetitia Giraldi , Jeremie Bec

We discuss the dynamics of a generalized three-sphere microswimmer in which the spheres are connected by two elastic springs. The natural length of each spring is assumed to undergo a prescribed cyclic change. We analytically obtain the…

Soft Condensed Matter · Physics 2017-08-10 Kento Yasuda , Yuto Hosaka , Mizuki Kuroda , Ryuichi Okamoto , Shigeyuki Komura

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

With the continuing rapid development of artificial microrobots and active particles, questions of microswimmer guidance and control are becoming ever more relevant and prevalent. In both the applications and theoretical study of such…

Soft Condensed Matter · Physics 2021-06-03 Clément Moreau , Kenta Ishimoto , Eamonn A. Gaffney , Benjamin J. Walker

We numerically examine dynamo action generated by a flow of an electrically conducting fluid in a precessing cylindrical cavity. We compare a simplified kinematic approach based on the solution of the magnetic induction equation with a…

Fluid Dynamics · Physics 2025-04-07 André Giesecke , Mike Wilbert , Ján Šimkanin , Rainer Grauer , Frank Stefani

The swimming of a deformable uniform sphere is studied in second order perturbation theory in the amplitude of the stroke. The effect of the first order reaction force on the first order center of mass velocity is calculated in linear…

Fluid Dynamics · Physics 2020-07-09 B. U. Felderhof , R. B. Jones

Swimming cells and microorganisms must often move though complex fluids that contain an immersed microstructure such as polymer molecules, or filaments. In many important biological processes, such as mammalian reproduction and bacterial…

Fluid Dynamics · Physics 2018-08-06 Arshad Kamal , Eric E Keaveny

Conventionally, a microscopic particle that performs a reciprocal stroke cannot move through its environment. This is because at small scales, the response of simple Newtonian fluids is purely viscous and flows are time-reversible. We show…

Fluid Dynamics · Physics 2012-08-21 Nathan C. Keim , Mike Garcia , Paulo E. Arratia

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

External gradients can strongly influence the collective behavior of microswimmers. In this paper, we study the behavior of two hydrodynamically interacting self-propelled chiral swimmers, in the low-Reynolds number regime, under the…

Biological Physics · Physics 2023-01-04 Ruma Maity , P. S. Burada

Biological microswimmers alter their motility in complex corner geometries, facilitating their survival. However, the dynamical features of low-Reynolds-number swimming at corners remain undefined. Here, we use active droplet microswimmers…

Soft Condensed Matter · Physics 2026-04-22 Subhasish Guchhait , Harshita Tiwari , Sumesh P. Thampi , Ranabir Dey