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Related papers: Generalized Three-Sphere Microswimmers

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We study the local controllability properties of 2D and 3D bio-mimetic swimmers employing the change of their geometric shape to propel themselves in an incompressible fluid described by Navier-Stokes equations. It is assumed that swimmers'…

Analysis of PDEs · Mathematics 2016-05-09 Piermarco Cannarsa , Alexandre Khapalov

The dynamics of periodic swimming is studied for two models of a deformable sphere, the dipole-quadrupole model and the quadrupole-octupole model. For the two models the solution of the Navier-Stokes equations can be found exactly to second…

Fluid Dynamics · Physics 2019-12-18 B. U. Felderhof , R. B. Jones

Many microswimmers are able to swim through viscous fluids by employing periodic non-reciprocal deformations of their appendages. Here we use a simple microswimmer model inspired by swimming biflagellates which consists of a spherical cell…

Soft Condensed Matter · Physics 2025-08-22 Sridhar Bulusu , Andreas Zöttl

Microswimmers typically operate in complex environments. In biological systems, often diverse species are simultaneously present and interact with each other. Here, we derive a (time-dependent) particle-scale statistical description, namely…

Soft Condensed Matter · Physics 2019-08-13 Christian Hoell , Hartmut Löwen , Andreas M. Menzel

This work studies the motion of Purcell's three-link microswimmer in viscous flow, by using perturbation expansion of its dynamics under small-amplitude strokes. Leading-order expressions and next-order correction terms for the displacement…

Fluid Dynamics · Physics 2016-09-28 Oren Wiezel , Yizhar Or

Physics governing the locomotion of microorganisms and other microsystems is dominated by viscous damping. An effective swimming strategy involves the non-reciprocal and periodic deformations of the considered body. Here, we show that a…

We study the three-dimensional dynamics of a spherical microswimmer in cylindrical Poiseuille flow which can be mapped onto a Hamiltonian system. Swinging and tumbling trajectories are identified. In 2D they are equivalent to oscillating…

Soft Condensed Matter · Physics 2012-06-18 Andreas Zöttl , Holger Stark

We present a generalized, 3 dimensional version of the Purcell's swimmer which is a planar mechanism locomoting at low Reynlods number regime. We use Cox theory and resistive force theory to come up with the forces acting on the system. We…

Robotics · Computer Science 2016-10-11 Sudin Kadam , Ravi Banavar

In this review we discuss the recent progress in the simulation of soft active matter systems and in particular the hydrodynamics of microswimmers using the method of multiparticle collision dynamics, which solves the hydrodynamic flows…

Soft Condensed Matter · Physics 2020-09-03 Andreas Zöttl

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

Transport of material across liquid interfaces is ubiquitous for living cells and is also a crucial step in drug delivery and in many industrial processes. The fluids that are present on either side of the interfaces will usually have…

Soft Condensed Matter · Physics 2023-05-24 Chao Feng , John J. Molina , Matthew S. Turner , Ryoichi Yamamoto

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

Purcell's scallop theorem states that swimmers deforming their shapes in a time-reversible manner ("reciprocal" motion) cannot swim. Using numerical simulations and theoretical calculations we show here that in a fluctuating environment,…

Soft Condensed Matter · Physics 2011-08-30 Eric Lauga

We propose a very simple one-dimensional swimmer consisting of three spheres that are linked by rigid rods whose lengths can change between two values. With a periodic motion in a non-reciprocal fashion, which breaks the time-reversal…

Soft Condensed Matter · Physics 2009-11-10 Ali Najafi , Ramin Golestanian

The field of active matter in general and microswimming in particular has experienced a rapid and ongoing expansion over the last decade. A particular interesting aspect is provided by artificial autonomous microswimmers constructed from…

Soft Condensed Matter · Physics 2018-05-21 Ran Niu , Thomas Palberg

- 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

We introduce and investigate the wellposedness of two models describing the self-propelled motion of a "small bio-mimetic swimmer" in the 2D and 3D incompressible fluids modeled by the Navier-Stokes equations. It is assumed that the…

Analysis of PDEs · Mathematics 2015-01-13 Alexandre Khapalov , Piermarco Cannarsa , Fabio S. Priuli , Giuseppe Floridia

We investigate the self-locomotion of an elongated microswimmer by virtue of the unidirectional tangential surface treadmilling. We show that the propulsion could be almost frictionless, as the microswimmer is propelled forward with the…

Fluid Dynamics · Physics 2009-11-13 Alexander M. Leshansky , Oded Kenneth , Omri Gat , Joseph E. Avron

We discuss the locomotion of a thermally driven elastic two-sphere microswimmer with internal feedback control that is realized by the position-dependent friction coefficients. In our model, the two spheres are in equilibrium with…

Soft Condensed Matter · Physics 2025-05-06 Jun Li , Ziluo Zhang , Zhanglin Hou , Yuto Hosaka , Kento Yasuda , Linli He , Shigeyuki Komura

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
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