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Related papers: Modelling, Controllability and Gait Design for a S…

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Many vesicles have a spherical resting shape and exposure to fluid flows induces an exchange between sub-optical area and visible (systematic) deformation, while the total area is conserved. The dynamics which controls the exchange between…

Soft Condensed Matter · Physics 2020-06-19 Afsoun Rahnama Falavarjani , David Salac

Swimming by shape changes at low Reynolds number is widely used in biology and understanding how the efficiency of movement depends on the geometric pattern of shape changes is important to understand swimming of microorganisms and in…

Fluid Dynamics · Physics 2015-07-31 Qixuan Wang , Hans G. Othmer

We give a geometric account of kinematic control of a spherical rolling robot controlled by two internal wheels just like the toy robot Sphero. Particularly, we introduce the notion of shape space and fibers to the system by exploiting its…

Optimization and Control · Mathematics 2019-08-14 Tomoki Ohsawa

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

Soft slender structures are ubiquitous in natural and artificial systems and can be observed at scales that range from the nanometric to the kilometric, from polymers to space tethers. We present a practical numerical approach to simulate…

Fluid Dynamics · Physics 2017-08-18 Mattia Gazzola , Levi H. Dudte , Andrew G. McCormick , L. Mahadevan

To explore and react to their environment, living micro-swimmers have developed sophisticated strategies for locomotion - in particular, motility with multiple gaits. To understand the physical principles associated with such a behavioural…

Swimming in curved spacetimes is a phenomenon whereby free bodies in curved spacetimes are able to propel themselves by performing cyclic internal motions. When originally proposed, it was further suggested that, in the limit of fast…

General Relativity and Quantum Cosmology · Physics 2025-06-12 Rodrigo Andrade e Silva

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

We characterize the full spatiotemporal gait of populations of swimming {\it Escherichia coli} using renewal processes to analyze the measurements of intermediate scattering functions. This allows us to demonstrate quantitatively how the…

This paper investigates the possibility of the motion control of a ball with a pendulum mechanism with non-holonomic constraints using gaits - the simplest motions such as acceleration and deceleration during the motion in a straight line,…

Dynamical Systems · Mathematics 2021-09-28 Tatyana B. Ivanova , Elena N. Pivovarova

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

Consider a deformable body immersed in an incompressible fluid that is randomly stirred. Sticking to physical situations in which the body departs only slightly from its spherical shape, we investigate the deformations of the body. The…

Statistical Mechanics · Physics 2016-08-31 Gady Frenkel , Moshe Schwartz

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

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

Fish swim by undulating their bodies. These propulsive motions require coordinated shape changes of a body that interacts with its fluid environment, but the specific shape coordination that leads to robust turning and swimming motions…

Quantitative Methods · Quantitative Biology 2021-05-19 Yusheng Jiao , Feng Ling , Sina Heydari , Nicolas Heess , Josh Merel , Eva Kanso

Small objects can swim by generating around them fields or gradients which in turn induce fluid motion past their surface by phoretic surface effects. We quantify for arbitrary swimmer shapes and surface patterns, how efficient swimming…

Soft Condensed Matter · Physics 2009-11-13 R. Golestanian , T. B. Liverpool , A. Ajdari

Three-dimensional simulations with fully resolved hydrodynamics are performed to study the dynamics of a single squirmer under gravity, in order to clarify its motion in the vicinity of a flat plate. Different dynamics emerge for different…

Fluid Dynamics · Physics 2020-05-27 Federico Fadda , John Jairo Molina , Ryoichi Yamamoto

In this paper we study the locomotion of a shape-changing body swimming in a two-dimensional perfect fluid of infinite extent. The shape-changes are prescribed as functions of time satisfying constraints ensuring that they result from the…

Optimization and Control · Mathematics 2009-10-29 Thomas Chambrion , Alexandre Munnier

- In this paper, we focus on a variant of a 3-link magnetic microswimmer which consists of three rigid magnetized segments connected by two torsional springs. In particular, we assume that one of the springs is twisted so that the swimmer…

Optimization and Control · Mathematics 2016-11-04 Laetitia Giraldi , Pierre Lissy , Clément Moreau , Jean-Baptiste Pomet

Microswimmers play an important role in shaping the world around us. The squirmer is a simple model for microswimmer whose cilia oscillations on its spherical surface induce an effective slip velocity to propel itself. The rapid development…

Fluid Dynamics · Physics 2024-11-22 Xinwei Cai , Kuiliang Wang , Gaojin Li , Xin Bian