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Related papers: Optimally swimming Stokesian robots

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Efficient swimming at low Reynolds numbers is a major concern of microbots. To compare the efficiencies of different swimmers we introduce the notion of ``swimming drag coefficient'' which allows for the ranking of swimmers. We find the…

Mathematical Physics · Physics 2009-11-10 J. E. Avron , O. Gat , O. Kenneth

Recent advancements in soft actuators have enabled soft continuum swimming robots to achieve higher efficiency and more closely mimic the behaviors of real marine animals. However, optimizing the design and control of these soft continuum…

Robotics · Computer Science 2025-04-29 Yanhao Yang , Ross L. Hatton

Bioinspired snake robotics has been a highly active area of research over the years and resulted in many prototypes. Much of these prototypes takes the form of serially jointed-rigid bodies. The emergence of soft robotics contributed to a…

Robotics · Computer Science 2019-08-15 Isuru S. Godage

We have proposed a method for the dynamic simulation of a collection of self-propelled particles in a viscous Newtonian fluid. We restrict attention to particles whose size and velocity are small enough that the fluid motion is in the…

Soft Condensed Matter · Physics 2015-05-13 Vishwajeet Mehandia , Prabhu R. Nott

Many forms of locomotion, both natural and artificial, are dominated by viscous friction in the sense that without power expenditure they quickly come to a standstill. From geometric mechanics, it is known that for swimming at the…

Robotics · Computer Science 2020-04-28 Matthew D. Kvalheim , Brian Bittner , Shai Revzen

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

There are numerous ways to control objects in the Stokes regime, with microscale examples ranging from the use of optical tweezers to the application of external magnetic fields. In contrast, there are relatively few explorations of…

Fluid Dynamics · Physics 2022-05-19 Benjamin J. Walker , Kenta Ishimoto , Eamonn A. Gaffney , Clément Moreau

Copepod nauplii are larval crustaceans with important ecological functions. Due to their small size, they experience an environment of low Reynolds number within their aquatic habitat. Here we provide a mathematical model of a swimming…

Optimization and Control · Mathematics 2023-08-21 Jonas Balisacan , Monique Chyba , Corey Shanbrom , George Wilkens

The swimming of a bead-spring chain in a viscous incompressible fluid as a model of a sperm is studied in the framework of low Reynolds number hydrodynamics. The optimal mode in the class of planar flagellar strokes of small amplitude is…

Fluid Dynamics · Physics 2015-05-06 B. U. Felderhof

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

In this work, we develop a computational framework that aims at simultaneously optimizing the shape and the slip velocity of an axisymmetric microswimmer suspended in a viscous fluid. We consider shapes of a given reduced volume that…

Optimization and Control · Mathematics 2024-05-02 Ruowen Liu , Hai Zhu , Hanliang Guo , Marc Bonnet , Shravan Veerapaneni

We reconsider fluid dynamics for a self-propulsive swimmer in Stokes flow. With an exact definition of deformation of a swimmer, a proof is given to Purcell's scallop theorem including the body rotation. The breakdown of the theorem due to…

Fluid Dynamics · Physics 2011-08-01 Kenta Ishimoto , Michio Yamada

Various microswimmers move along circles rather than straight lines due to their swimming mechanisms, body shapes or hydrodynamic effects. Here, we adopt the concepts of stochastic thermodynamics to analyze circle swimmers confined in a…

Soft Condensed Matter · Physics 2021-12-22 Zhiyu Cao , Huijun Jiang , Zhonghuai Hou

We show that a two-dimensional system of flocking microswimmers interacting hydrodynamically can be expressed using a Hamiltonian formalism. The Hamiltonian depends strictly on the angles between the particles and their swimming…

Soft Condensed Matter · Physics 2023-05-23 Yuval Shoham , Naomi Oppenheimer

Most classical work on the hydrodynamics of low-Reynolds-number swimming addresses deterministic locomotion in quiescent environments. Thermal fluctuations in fluids are known to lead to a Brownian loss of the swimming direction. As most…

Fluid Dynamics · Physics 2014-06-18 Mario Sandoval , Navaneeth K. M. , Ganesh Subramanian , Eric Lauga

Robotic locomotion often relies on sequenced gaits to efficiently convert control input into desired motion. Despite extensive studies on gait optimization, achieving smooth and efficient gait transitions remains challenging. In this paper,…

Robotics · Computer Science 2024-09-17 Jinwoo Choi , Ross L. Hatton

Optimal gait design is important for micro-organisms and micro-robots that propel themselves in a fluid environment in the absence of external force or torque. The simplest models of shape changes are those that comprise a series of…

Fluid Dynamics · Physics 2019-10-01 Qixuan Wang

Magnetically driven artificial microswimmers have the potential to revolutionize many biomedical technologies, such as minimally-invasive microsurgery, micro-particle manipulation, and localized drug delivery. However, many of these…

Fluid Dynamics · Physics 2019-09-12 Jake Buzhardt , Phanindra Tallapragada

The swimming of a sphere by means of radial helical surface waves is studied on the basis of the Stokes equations. Explicit expressions are derived for the matrices characterizing the mean translational and rotational swimming velocities…

Fluid Dynamics · Physics 2016-01-14 B. U. Felderhof

Natural swimmers rely for their survival on sensors that gather information from the environment and guide their actions. The spatial organization of these sensors, such as the visual fish system and lateral line, suggests evolutionary…