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Related papers: Optimal Design for Purcell Three-link Swimmer

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We develop a qualitative geometric approach to swimming at low Reynolds number which avoids solving differential equations and uses instead landscape figures of two notions of curvatures: The swimming curvature and the curvature derived…

Fluid Dynamics · Physics 2010-07-28 J. E. Avron , O. Raz

Viscoelasticity governs the locomotion strategies of deformable microorganisms, rendering it a fundamental mechanical property of microbial motility and an integral component in the design of envisioned microbots. Recent studies have shown…

Soft Condensed Matter · Physics 2026-05-01 Vimal Singh , Akash Choudhary

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

We introduce and investigate the wellposedness of a model describing the self-propelled motion of a small abstract swimmer in the 3-D incompressible fluid governed by the nonstationary Stokes equation, typically associated with the low…

Analysis of PDEs · Mathematics 2012-05-08 A. Y. Khapalov

Swimming organisms can escape their predators by creating and harnessing unsteady flow fields through their body motions. Stochastic optimization and flow simulations have identified escape patterns that are consistent with those observed…

Fluid Dynamics · Physics 2021-09-29 Ioannis Mandralis , Pascal Weber , Guido Novati , Petros Koumoutsakos

Nature has always inspired scientists and engineers to understand the underlying mechanism leading to optimal design in bio-inspired dynamics. This study presents a computational framework for optimizing undulatory swimming profiles using a…

Fluid Dynamics · Physics 2026-04-09 Hamayun Farooq , Imran Akhtar , Muhammad Saif Ullah Khalid , Haris Moazam Sheikh

The paper carries on our previous investigations on the complementary version of Purcell's rotator: a low-Reynolds-number swimmer composed of three balls of equal radii. In the asymptotic regime of very long arms, the Stokes induced…

Optimization and Control · Mathematics 2019-10-25 François Alouges , Giovanni Di Fratta

We study a linear inviscid model of a passively flexible swimmer with distributed flexibility, calculating its propulsive performance and optimal distributions of flexibility. The frequencies of actuation and mean stiffness ratios we…

Fluid Dynamics · Physics 2020-02-26 Daniel Floryan , Clarence W. Rowley

We study the dynamics and interaction of two swimming bacteria, modeled by self-propelled dumbbell-type structures. We focus on alignment dynamics of a coplanar pair of elongated swimmers, which propel themselves either by pushing" or…

Analysis of PDEs · Mathematics 2008-11-24 Vitaliy Gyrya , Igor S. Aranson , Leonid V. Berlyand , Dmitry Karpeev

The optimal strategy for a microscopic swimmer to migrate across a linear shear flow is discussed. The two cases, in which the swimmer is located at large distance, and in the proximity of a solid wall, are taken into account. It is shown…

Soft Condensed Matter · Physics 2015-05-18 Piero Olla

We determine the parametric hull of a given volume which minimizes the total water resistance for a given speed of the ship. The total resistance is the sum of Michell's wave resistance and of the viscous resistance, approximated by…

Optimization and Control · Mathematics 2014-10-13 Julien Dambrine , Morgan Pierre , Germain Rousseaux

Limbless crawling is ubiquitous in biology, from cells to organisms. We develop and analyze a model for the dynamics of one-dimensional elastic crawlers, subject to active stress and deformation-dependent friction with the substrate. We…

Soft Condensed Matter · Physics 2022-09-14 Sreejith Santhosh , Mattia Serra

We use the Deep Q-Network with reinforcement learning to investigate the emergence of odd elasticity in an elastic microswimmer model. For an elastic microswimmer, it is challenging to obtain the optimized dynamics due to the intricate…

Soft Condensed Matter · Physics 2024-06-10 Li-Shing Lin , Kento Yasuda , Kenta Ishimoto , Shigeyuki Komura

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

In this paper, we identify optimal swimming strategies for drag-dominated swimmers with a passive elastic joint. We use resistive force theory (RFT) to obtain the dynamics of the system. We then use frequency domain analysis to relate the…

Biological Physics · Physics 2021-03-17 Suresh Ramasamy , Ross L. Hatton

\emph{Spiroplasma} swimming is studied with a simple model based on resistive-force theory. Specifically, we consider a bacterium shaped in the form of a helix that propagates traveling-wave distortions which flip the handedness of the…

Biological Physics · Physics 2015-05-13 Jing Yang , Charles W. Wolgemuth , Greg Huber

An optimal microswimmer with a given geometry has a surface velocity profile that minimizes energy dissipation for a given swimming speed. An axisymmetric swimmer can be puller-, pusher-, or neutral-type depending on the sign of the…

Fluid Dynamics · Physics 2024-10-08 Rafe Md Abu Zayed , Arezoo M. Ardekani , Amir Nourhani

Fishes, cetaceans, and many other aquatic vertebrates undulate their bodies to propel themselves through water. Swimming requires an intricate interplay between sensing the environment, making decisions, controlling internal dynamics, and…

Fluid Dynamics · Physics 2026-01-26 L. fu , S. Israilov , J. Sanchez Rodriguez , C. Brouzet , G. Allibert , C. Raufaste , M. Argentina

Any swimmer embedded on a inertialess fluid must perform a non-reciprocal motion to swim forward. The archetypal demonstration of this unique motion-constraint was introduced by Purcell with the so-called "scallop theorem". Scallop here is…

Optimization and Control · Mathematics 2021-11-29 Marta Zoppello , Marco Morandotti , Hermes Bloomfield-Gadêlha

The ability of microswimmers to deploy optimal propulsion strategies is of paramount importance for their locomotory performance and survival at low Reynolds numbers. Although for perfectly spherical swimmers minimum dissipation requires a…

Fluid Dynamics · Physics 2021-07-13 Abdallah Daddi-Moussa-Ider , Babak Nasouri , Andrej Vilfan , Ramin Golestanian