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In this work we consider the following question: given a mechanical microswimming mechanism, does increased deformability of the swimmer body hinder or promote the motility of the swimmer? To answer this we study a microswimmer model…

Biological Physics · Physics 2016-11-22 Jayant Pande , Laura Merchant , Timm Krüger , Jens Harting , Ana-Sunčana Smith

We study the fluid drift due to a time-dependent dumbbell model of a microswimmer. The model captures important aspects of real microswimmers such as a time-dependent flagellar motion and a no-slip body. The model consists of a rigid sphere…

Soft Condensed Matter · Physics 2017-02-01 Peter Mueller , Jean-Luc Thiffeault

Swimming in circles occurs in a variety of situations at low Reynolds number. Here we propose a simple model for a swimmer that undergoes circular motion, generalising the model of a linear swimmer proposed by Najafi and Golestanian (Phys.…

Soft Condensed Matter · Physics 2012-07-16 Rodrigo Ledesma-Aguilar , Hartmut Loewen , Julia M. Yeomans

In this paper, we propose a novel approach for controlling surface water waves and their interaction with floating bodies. We consider a floating target rigid body surrounded by a control region where we design three control strategies of…

Optimization and Control · Mathematics 2025-01-03 Sebastiano Cominelli , Carlo Sinigaglia , Davide Enrico Quadrelli , Francesco Braghin

Contrasting the well explored problem on how to steer a macroscopic agent like an airplane or a moon lander to optimally reach a target, "optimal microswimming", i.e. the quest for the optimal navigation strategy for microswimmers, remains…

Fluid Dynamics · Physics 2022-05-10 Abdallah Daddi-Moussa-Ider , Hartmut Löwen , Benno Liebchen

Steady swimming appears both periodic and stable. These characteristics are the very definition of limit cycles, and so we ask "Can we view swimming as a limit cycle?" In this paper we will not be able to answer this question in full.…

Dynamical Systems · Mathematics 2015-08-05 Henry O. Jacobs

Squirmers are models of a class of microswimmers, such as ciliated organisms and phoretic particles, that self-propel in fluids without significant deformation of their body shape. Available techniques for their simulation are based on the…

Numerical Analysis · Mathematics 2019-03-20 Stevens Paz Sánchez , Gustavo C. Buscaglia

We review the literature on swimming in complex fluids. A classification is proposed by comparing the length and time scales of a swimmer with those of nearby obstacles, interpreted broadly, extending from rigid or soft confining boundaries…

Fluid Dynamics · Physics 2023-01-02 Saverio E. Spagnolie , Patrick T. Underhill

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

We develop an adversarial-reinforcement learning scheme for microswimmers in statistically homogeneous and isotropic turbulent fluid flows, in both two (2D) and three dimensions (3D). We show that this scheme allows microswimmers to find…

Fluid Dynamics · Physics 2021-05-10 Jaya Kumar Alageshan , Akhilesh Kumar Verma , Jérémie Bec , Rahul Pandit

We present an automated procedure for the design of optimal actuation for flagellar magnetic microswimmers based on numerical optimization. Using this method, a new magnetic actuation method is provided which allows these devices to swim…

Soft Condensed Matter · Physics 2020-04-22 Yacine El Alaoui-Faris , Jean-Baptiste Pomet , Stéphane Régnier , Laetitia Giraldi

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

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

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

Micron-scale swimmers move in the realm of negligible inertia, dominated by viscous drag forces. In this paper, we formulate the leading-order dynamics of a slender multi-link (N-link) microswimmer assuming small-amplitude undulations about…

Fluid Dynamics · Physics 2019-05-22 François Alouges , Antonio DeSimone , Laetitia Giraldi , Yizhar Or , Oren Wiezel

Trajectory tracking for microswimmers remains a key challenge in microrobotics, where low-Reynolds-number dynamics make control design particularly complex. In this work, we formulate the trajectory tracking problem as an optimal control…

Robotics · Computer Science 2026-02-11 Lucas Palazzolo , Mickaël Binois , Laëtitia Giraldi

Combining geometric mechanics theory, laboratory robotic experiment and numerical simulation, we study the locomotion in granular media (GM) of the simplest non-inertial swimmer, the Purcell three-link swimmer. Using granular resistive…

Soft Condensed Matter · Physics 2013-02-22 Ross L. Hatton , Yang Ding , Howie Choset , Daniel I. Goldman

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

Swimming at low Reynolds number in Newtonian fluids is only possible through non-reciprocal body deformations due to the kinematic reversibility of the Stokes equations. We consider here a model swimmer consisting of two linked spheres,…

Fluid Dynamics · Physics 2017-04-26 Babak Nasouri , Aditi Khot , Gwynn J. Elfring

It has been argued that an extended, quasi-rigid body evolving freely in curved spacetime can deviate from its natural trajectory by simply performing cyclic deformations. More interestingly, in the limit of rapid cycles, the amount of…

General Relativity and Quantum Cosmology · Physics 2017-03-28 Rodrigo Andrade e Silva , George E. A. Matsas , Daniel A. T. Vanzella
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