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The aim of this paper is to describe the self-propulsion of a micro-robot (or micro-swimmer) consisting of $N$ spheres moving along a fixed line. The spheres are linked to each other by arms with the lengths changing periodically. For the…

Fluid Dynamics · Physics 2015-06-11 Vladimir A. Vladimirov

In a dissipative system, there exists the (global) attractor which has finite fractal dimensions. The flow on the attractor can be parametrized by a finite number of parameters (Temmam 1987). Using machine learning we demonstrate how to…

Fluid Dynamics · Physics 2018-03-23 Masaki Shimizu , Genta Kawahara

Locomotion at low Reynolds numbers is a topic of growing interest, spurred by its various engineering and medical applications. This paper presents a novel prototype and a locomotion algorithm for the 3-link planar Purcell's swimmer based…

Systems and Control · Computer Science 2017-07-07 Sudin Kadam , Kedar Joshi , Naman Gupta , Pulkit Katdare , Ravi Banavar

We consider the flow of a Newtonian fluid in a three-dimensional domain, rotating about a vertical axis and driven by a vertically invariant horizontal body-force. This system admits vertically invariant solutions that satisfy the 2D…

Fluid Dynamics · Physics 2023-07-19 Basile Gallet

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

This paper presents a new adaptive sliding mode control (SMC) framework for quadrotors that achieves robust and agile flight under tight computational constraints. The proposed controller addresses key limitations of prior SMC formulations,…

Robotics · Computer Science 2025-08-12 Amin Yazdanshenas , Reza Faieghi

We experimentally study a scallop-like swimmer with reciprocally flapping wings in a nearly frictionless, cohesive granular medium consisting of hydrogel spheres. Significant locomotion is found when the swimmer's flapping frequency matches…

Soft Condensed Matter · Physics 2026-04-29 Hongyi Xiao , Jing Wang , Achim Sack , Ralf Stannarius , Thorsten Pöschel

The swimming of an elliptical disk at small Reynolds number is studied on the basis of a perturbative solution of the Navier-Stokes equations for fluid flow near a deformable infinite sheet. A stroke involving an elliptically polarized…

Fluid Dynamics · Physics 2016-12-21 B. U. Felderhof

Micro-nano-robotic swimmers have promising potential for future biomedical tasks such as targeted drug delivery and minimally-invasive diagnosis. An efficient method for controlled actuation of such nano-swimmers is applying a rotating…

Fluid Dynamics · Physics 2026-05-12 Zvi Chapnik , Yizhar Or

We present numerical simulations of simplified models for swimming organisms or robots, using chordwise flexible elastic plates. We focus on the tip vortices originating from three-dimensional effects due to the finite span of the plate.…

Fluid Dynamics · Physics 2018-03-21 T. Engels , D. Kolomenskiy , K. Schneider , J. Sesterhenn

We derive the equations of motion for the planar somersault, which consist of two additive terms. The first is the dynamic phase that is proportional to the angular momentum, and the second is the geometric phase that is independent of…

Classical Physics · Physics 2020-09-07 William Tong , Holger R. Dullin

Metachronal locomotion is a widespread swimming mode used by aquatic swarming organisms to achieve performance and maneuverability in the intermediate Reynolds number regime. Our understanding of the mechanisms driving these abilities is…

A new description for highly nonlinear potential water waves is suggested, where weak 3D effects are included as small corrections to exact 2D equations written in conformal variables. Contrary to the traditional approach, a small parameter…

Fluid Dynamics · Physics 2009-11-11 Victor P. Ruban

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

Biological swimmers frequently navigate in geometrically restricted media. We study the prescribed-stroke problem of swimmers confined to a planar viscous membrane embedded in a bulk fluid of different viscosity. In their motion,…

Soft Condensed Matter · Physics 2021-02-24 Carlos Alas , Thomas R. Powers , Tatiana Kuriabova

Symmetry reduction by the method of slices is applied to pipe flow in order to quotient the stream-wise translation and azimuthal rotation symmetries of turbulent flow states. Within the symmetry-reduced state space, all travelling wave…

Fluid Dynamics · Physics 2015-06-04 Ashley P. Willis , Predrag Cvitanovic , Marc Avila

The underlying mechanisms and physics of catalytic Janus microswimmers is highly complex, requiring details of the associated phoretic fields and the physiochemical properties of catalyst, particle, boundaries, and the fuel used. Therefore,…

We study 3D chaotic dynamics through an analysis of transport in a granular flow in a half-full spherical tumbler rotated sequentially about two orthogonal axes (a bi-axial "blinking" tumbler). The flow is essentially quasi-2D in any…

Dynamical Systems · Mathematics 2014-07-02 Ivan C. Christov , Richard M. Lueptow , Julio M. Ottino , Rob Sturman

A minimal design for a molecular swimmer is proposed that is a based on a mechanochemical propulsion mechanism. Conformational changes are induced by electrostatic actuation when specific parts of the molecule temporarily acquire net…

Biological Physics · Physics 2015-05-19 Ramin Golestanian

Low-cost coin vibrational motors, used in haptic feedback, exhibit rotational internal motion inside a rigid case. Because the motor case motion exhibits rotational symmetry, when placed into a fluid such as glycerin, the motor does not…

Fluid Dynamics · Physics 2017-04-05 Alice C. Quillen , Hesam Askari , Douglas H. Kelley , Tamar Friedmann , Patrick W. Oakes
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