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Related papers: An elastic two-sphere swimmer in Stokes flow

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We provide exact solutions of the Stokes equations for a squirming sphere close to a no-slip surface, both planar and spherical, and for the interactions between two squirmers, in three dimensions. These allow the hydrodynamic interactions…

Fluid Dynamics · Physics 2017-04-05 Dario Papavassiliou , Gareth P. Alexander

Synthetic microswimmers show great promise in biomedical applications such as drug delivery and microsurgery. Their locomotion, however, is subject to stringent constraints due to the dominance of viscous over inertial forces at low…

Fluid Dynamics · Physics 2020-07-15 Alan Cheng Hou Tsang , Pun Wai Tong , Shreyes Nallan , On Shun Pak

The emerging field of self-driven active particles in fluid environments has recently created significant interest in the biophysics and bioengineering communities owing to their promising future biomedical and technological applications.…

Pairwise hydrodynamic interactions of microswimmers form the fundamental building blocks for understanding their more complex collective behaviors. In this work, we revisit the canonical problem of two interacting squirmers swimming along…

We discuss a locomotion of a three-sphere microswimmer in a viscoelastic medium and propose a new type of active microrheology. We derive a relation which connects average swimming velocity and frequency-dependent viscosity of the…

Soft Condensed Matter · Physics 2017-03-30 Kento Yasuda , Ryuichi Okamoto , Shigeyuki Komura

We present a two dimensional model of hydrodynamic interaction between a circular swimmer and a circular post at low Reynolds number, using a point singularity description of the swimming activity. We derive a nonlinear dynamical system…

Fluid Dynamics · Physics 2016-12-09 Dario Papavassiliou , Gareth P Alexander

Many microorganisms find themselves immersed in fluids displaying non-Newtonian rheological properties such as viscoelasticity and shear-thinning viscosity. The effects of viscoelasticity on swimming at low Reynolds numbers have already…

Fluid Dynamics · Physics 2015-11-10 Charu Datt , Lailai Zhu , Gwynn J. Elfring , On Shun Pak

In a recent letter (Friedrich et al., Phys. Rev. Lett. 109:138102, 2012), a minimal model swimmer was proposed that propels itself at low Reynolds numbers by a revolving motion of a pair of spheres. The motion of the two spheres can…

Cell Behavior · Quantitative Biology 2015-06-12 Katja Polotzek , Benjamin M. Friedrich

We employ three numerical methods to explore the motion of low Reynolds number swimmers, modeling the hydrodynamic interactions by means of the Oseen tensor approximation, lattice Boltzmann simulations and multiparticle collision dynamics.…

Soft Condensed Matter · Physics 2007-05-23 David J. Earl , C. M. Pooley , J. F. Ryder , Irene Bredberg , J. M. Yeomans

Both natural and artificial small-scale swimmers may often self-propel in environments subject to complex geometrical constraints. While most past theoretical work on low-Reynolds number locomotion addressed idealised geometrical…

Fluid Dynamics · Physics 2017-11-16 Alexander Chamolly , Takuji Ishikawa , Eric Lauga

We investigate the way in which oscillating dumb-bells, a simple microscopic model of apolar swimmers, move at low Reynold's number. In accordance with Purcell's Scallop Theorem a single dumb-bell cannot swim because its stroke is…

Soft Condensed Matter · Physics 2009-11-13 G. P. Alexander , J. M. Yeomans

We study the local controllability properties of 2D and 3D bio-mimetic swimmers employing the change of their geometric shape to propel themselves in an incompressible fluid described by Navier-Stokes equations. It is assumed that swimmers'…

Analysis of PDEs · Mathematics 2016-05-09 Piermarco Cannarsa , Alexandre Khapalov

We computationally study the kinematics of a simple model reciprocal swimmer (asymmetric dumbbell) as a function of the Reynolds number (Re) and investigate how the onset and gradual increase of inertia impacts the swimming behavior: a…

Soft Condensed Matter · Physics 2020-07-01 Thomas Dombrowski , Daphne Klotsa

Unlike macroscopic swimmers, microswimmers operate in a low-Reynolds-number regime dominated by viscous forces. This paper investigates the controllability of a magnetic microswimmer composed of a spherical magnetic head and an elastic,…

Optimization and Control · Mathematics 2025-11-05 Lucas Palazzolo , Mickaël Binois , Laëtitia Giraldi

Non-linear effects of the Navier-Stokes equations disappear under the Stokes regime of Newtonian fluid flows disallowing the fluid flow rectification. Here we show mathematically and experimentally that passive flow rectification of…

Fluid Dynamics · Physics 2018-11-21 Aryan Mehboudi , Junghoon Yeom

The swimming of a sphere immersed in a viscous incompressible fluid with inertia is studied for surface modulations of small amplitude on the basis of the Navier-Stokes equations. The mean swimming velocity and the mean rate of dissipation…

Fluid Dynamics · Physics 2016-12-20 B. U. Felderhof , R. B. Jones

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

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

The three-sphere swimmer by Najafi and Golestanian is composed of three spheres connected by two arms. The case in which the swimmer can control the lengths of the two arms has been studied in detail. Here we study a variation of the model…

Biological Physics · Physics 2017-02-02 Alessandro Montino , Antonio DeSimone

It is numerically investigated whether a deformable object can propel itself in a superfluid. Articulated bodies and multi-component condensates are examined as swimmers. An articulated two-body swimmer cannot obtain locomotion without…

Quantum Gases · Physics 2016-05-31 Hiroki Saito
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