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Related papers: Two-sphere low Reynold's propeller

200 papers

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

Bead-based micro-swimmers are promising systems for payload delivery on the micro-scale. However, the principles underlying their optimal design are not yet fully understood. Here we study a simple device consisting of three…

Fluid Dynamics · Physics 2014-03-03 Jayant Pande , Ana-Sunčana Smith

Self-propulsion at low Reynolds number is notoriously restricted, a concept that is commonly known as the "scallop theorem". Here we present a truly self-propelled swimmer (force- and torque- free) that, while unable to swim in a Newtonian…

Fluid Dynamics · Physics 2021-11-23 Laurel A. Kroo , Jeremy P. Binagia , Noah Eckman , Manu Prakash , Eric S. G. Shaqfeh

The paper is about the parking 3-sphere swimmer ($\text{sPr}_3$). This is a low-Reynolds number model swimmer composed of three balls of equal radii. The three balls can move along three horizontal axes (supported in the same plane) that…

Optimization and Control · Mathematics 2016-10-18 François Alouges , Giovanni Di Fratta

We investigate the behavior of a treadmilling microswimmer in a two-dimensional unbounded domain with a semi-infinite no-slip wall. The wall can also be regarded as a probe or pipette inserted into the flow. We solve the governing evolution…

Biological Physics · Physics 2014-08-21 Kiori Obuse , Jean-Luc Thiffeault

Hydrodynamic interactions are crucial for determining the cooperative behavior of microswimmers at low Reynolds numbers. Here we provide a comprehensive analysis of the scaling and strength of the interactions in the case of a pair of…

Soft Condensed Matter · Physics 2021-02-11 Sebastian Ziegler , Thomas Scheel , Maxime Hubert , Jens Harting , Ana-Sunčana Smith

A single flexible filament can be actuated to escape from the scallop theorem and generate net propulsion at low Reynolds number. In this work, we study the dynamics of a simple boundary-driven multi-filament swimmer, a two-arm clamshell…

Fluid Dynamics · Physics 2022-03-07 Shiyuan Hu , Jun Zhang , Michael J. Shelley

A simple nonholonomic dynamics model is developed as a low-order model for generating undulatory swim-like motions, validated through computational fluid dynamics (CFD) simulations. The rigid-body-dynamics model generates swimming motion by…

Fluid Dynamics · Physics 2025-11-27 Jamal Ardister , James Geddes , Brian F. Feeny , Junlin Yuan

Swimming cells often have to self-propel through fluids displaying non-Newtonian rheology. While past theoretical work seems to indicate that stresses arising from complex fluids should systematically hinder low-Reynolds number locomotion,…

Biological Physics · Physics 2015-06-30 Yi Man , Eric Lauga

Self-propelled particles can exhibit surprising non-equilibrium behaviors, and how they interact with obstacles or boundaries remains an important open problem. Here we show that chemically propelled micro-rods can be captured, with little…

Soft Condensed Matter · Physics 2014-02-21 Daisuke Takagi , Jeremie Palacci , Adam B. Braunschweig , Michael J. Shelley , Jun Zhang

We propose a combined analytical-numerical strategy to predict the dynamics and trajectory of a microswimmer next to a curved spherical obstacle. The microswimmer is actuated by a slip velocity on its surface and a uniformly valid solution…

Soft Condensed Matter · Physics 2017-10-31 Nima Sharifi-Mood , Pablo G. Díaz-Hyland , Ubaldo M. Córdova-Figueroa

We propose a minimal model of microswimmer based on immersed boundary methods. We describe a swimmer (either pusher or puller) as a distribution of point forces, representing the swimmer's flagellum and body, with only the latter subjected…

Computational Physics · Physics 2024-07-12 Francesco Michele Ventrella , Guido Boffetta , Massimo Cencini , Filippo De Lillo

We suggest several reciprocal swimming mechanisms that lead to a locomotion only in viscoelastic fluids. The first situation is to have a difference between the two amplitudes of the oscillatory arm motion for a three-sphere microswimmer.…

Soft Condensed Matter · Physics 2021-06-08 Kento Yasuda , Mizuki Kuroda , Shigeyuki Komura

A matrix formulation is derived for the calculation of the swimming speed and the power required for swimming of an assembly of rigid spheres immersed in a viscous fluid of infinite extent. The spheres may have arbitrary radii and may…

Soft Condensed Matter · Physics 2014-09-18 B. U. Felderhof

Metachronal swimming, the sequential beating of limbs with a small phase lag, is observed in many organisms at various scales, but has been studied mostly in the limits of high or low Reynolds numbers. Motivated by the swimming of brine…

Fluid Dynamics · Physics 2021-08-03 Hong Nguyen , Daphne Klotsa

When swimming at low Reynolds numbers, inertial effects are negligible and reciprocal movements cannot induce net motion. Instead, symmetry breaking is necessary to achieve net propulsion. Directed swimming can be supported by magnetic…

Soft Condensed Matter · Physics 2026-03-31 Theo Lequy , Andreas M. Menzel

We present and analyse a numerical method for understanding the low-inertia dynamics of an open, inextensible viscoelastic rod - a long and thin three dimensional object - representing the body of a long, thin microswimmer. Our model allows…

Numerical Analysis · Mathematics 2020-05-07 Thomas Ranner

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

We analyse weak and strong controllability notions for the locomotion of the 3-link Purcell's swimmer, the simplest possible swimmer at low Reynolds number from a geometric framework. After revisiting a purely kinematic form of the…

Systems and Control · Computer Science 2016-11-22 Sudin Kadam , Ravi Banavar

We report experimental measurements of the translational and rotational dynamics of a large buoyant sphere in isotropic turbulence. We introduce an efficient method to simultaneously determine the position and (absolute) orientation of a…

Fluid Dynamics · Physics 2016-04-20 Varghese Mathai , Matthijs W. M. Neut , Erwin P. van der Poel , Chao Sun