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Related papers: An elastic two-sphere swimmer in Stokes flow

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We consider a low Reynolds number artificial swimmer that consists of an active arm followed by $N$ passive springs separated by spheres. This setup generalizes an approach proposed in Montino and DeSimone, Eur. Phys. J. E, vol. 38, 2015.…

Numerical Analysis · Mathematics 2023-03-02 François Alouges , Aline Lefebvre-Lepot , Jessie Levillain

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

The net steady state flow pattern of a distorting sphere is studied in the framework of the bilinear theory of swimming at low Reynolds number. It is argued that the starting point of a theory of interacting active particles should be based…

Fluid Dynamics · Physics 2015-05-20 B. U. Felderhof

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

Swimming in circles occurs in a variety of situations at low Reynolds number. Here we propose a simple model for a swimmer that undergoes circular motion, generalising the model of a linear swimmer proposed by Najafi and Golestanian (Phys.…

Soft Condensed Matter · Physics 2012-07-16 Rodrigo Ledesma-Aguilar , Hartmut Loewen , Julia M. Yeomans

We describe the consequences of time reversal invariance of the Stokes' equations for the hydrodynamic scattering of two low Reynolds number swimmers. For swimmers that are related to each other by a time reversal transformation this leads…

Soft Condensed Matter · Physics 2009-11-13 G. P. Alexander , C. M. Pooley , J. M. Yeomans

We conduct experiments with flexible swimmers to address the impact of fluid viscoelasticity on their locomotion. The swimmers are composed of a magnetic head actuated in rotation by a frequency-controlled magnetic field and a flexible tail…

Fluid Dynamics · Physics 2013-03-19 Julian Espinosa-Garcia , Eric Lauga , Roberto Zenit

Many microorganisms swim through gels, materials with nonzero zero-frequency elastic shear modulus, such as mucus. Biological gels are typically heterogeneous, containing both a structural scaffold (network) and a fluid solvent. We analyze…

Biological Physics · Physics 2015-05-18 Henry C. Fu , Vivek B. Shenoy , Thomas R. Powers

In the limit of zero Reynolds number (Re), swimmers propel themselves exploiting a series of non-reciprocal body motions. For an artificial swimmer, a proper selection of the power source is required to drive its motion, in cooperation with…

Soft Condensed Matter · Physics 2021-09-08 Endao Han , Lailai Zhu , Joshua W. Shaevitz , Howard A. Stone

A conformation space kinetic model is constructed to drive the deformation cycle of a three-sphere swimmer to achieve propulsion at low Reynolds number. We analyze the effect of an external load on the performance of this kinetic swimmer,…

Soft Condensed Matter · Physics 2009-11-13 Ramin Golestanian , Armand Ajdari

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

We investigate a self-organized swimmer at low Reynolds numbers. The microscopic swimmer is composed of three spheres that are connected by two identical active linker arms. Each linker arm contains molecular motors and elastic elements and…

Biological Physics · Physics 2009-09-30 Stefan Gunther , Karsten Kruse

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

Microorganisms are rarely found in Nature swimming freely in an unbounded fluid. Instead, they typically encounter other organisms, hard walls, or deformable boundaries such as free interfaces or membranes. Hydrodynamic interactions between…

Fluid Dynamics · Physics 2013-10-21 Marcelo A. Dias , Thomas R. Powers

We use the boundary element method to study the low-Reynolds number locomotion of a spherical model microorganism in a circular tube. The swimmer propels itself by tangen- tial or normal surface motion in a tube whose radius is on the order…

Fluid Dynamics · Physics 2013-06-11 Lailai Zhu , Eric Lauga , Luca Brandt

We theoretically investigate self-oscillating waves of an active material, which have recently been introduced as a non-symmetric part of the elastic moduli, termed odd elasticity. Using Purcell's three-link swimmer model, we reveal that an…

Soft Condensed Matter · Physics 2022-06-22 Kenta Ishimoto , Clément Moreau , Kento Yasuda

In this paper, we give formulas for the swimming of simplified two-dimensional bodies in complex fluids using the reciprocal theorem. By way of these formulas we calculate the swimming velocity due to small-amplitude deformations on the…

Fluid Dynamics · Physics 2016-04-28 Gwynn J. Elfring , Gaurav Goyal

Swimming at small Reynolds number of a linear assembly of identical spheres immersed in a viscous fluid is studied on the basis of a set of equations of motion for the individual spheres. The motion of the spheres is caused by actuating…

Fluid Dynamics · Physics 2016-10-20 B. U. Felderhof

In biological systems, microswimmers often propel themselves through complex media. However, many aspects of swimming mechanisms in non-Newtonian fluids remain unclear. This study considers the propulsion of two types of single spherical…

Fluid Dynamics · Physics 2024-10-14 Takuya Kobayashi , Ryoichi Yamamoto

We investigate the hydrodynamic interaction between two elastic swimmers which are composed of three spheres and two harmonic springs. In this model, the natural length of each spring is assumed to undergo a prescribed cyclic change,…

Soft Condensed Matter · Physics 2019-05-22 Mizuki Kuroda , Kento Yasuda , Shigeyuki Komura