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Related papers: Efficiency limits of the three-sphere swimmer

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It has long been known that some microswimmers seem to swim counter-intuitively faster when the viscosity of the surrounding fluid is increased, whereas others slow down. This conflicting dependence of the swimming velocity on the viscosity…

Soft Condensed Matter · Physics 2016-11-08 Jayant Pande , Laura Merchant , Timm Krüger , Jens Harting , Ana-Sunčana Smith

Swimming of a sphere in a viscous incompressible fluid is studied on the basis of the Navier-Stokes equations for wave-type distortions of the spherical shape. At sizable values of the dimensionless scale number the mean swimming velocity…

Fluid Dynamics · Physics 2019-02-20 B. U. Felderhof , R. B. Jones

Explicit expressions are derived for the matrices determining the mean translational and rotational swimming velocities and the mean rate of dissipation for Stokesian swimming at low Reynolds number of a distorting sphere in a viscous…

Fluid Dynamics · Physics 2016-02-04 B. U. Felderhof , R. B. Jones

Geometric confinements are frequently encountered in soft matter systems and in particular significantly alter the dynamics of swimming microorganisms in viscous media. Surface-related effects on the motility of microswimmers can lead to…

The motion of a rotating helical body in a viscoelastic fluid is considered. In the case of force-free swimming, the introduction of viscoelasticity can either enhance or retard the swimming speed and locomotive efficiency, depending on the…

Biological Physics · Physics 2013-08-15 Saverio E. Spagnolie , Bin Liu , Thomas R. Powers

We use numerical simulations to address locomotion at zero Reynolds number in viscoelastic (Giesekus) fluids. The swimmers are assumed to be spherical, to self-propel using tangential surface deformation, and the computations are…

Fluid Dynamics · Physics 2015-06-12 Lailai Zhu , Eric Lauga , Luca Brandt

We present an automated procedure for the design of optimal actuation for flagellar magnetic microswimmers based on numerical optimization. Using this method, a new magnetic actuation method is provided which allows these devices to swim…

Soft Condensed Matter · Physics 2020-04-22 Yacine El Alaoui-Faris , Jean-Baptiste Pomet , Stéphane Régnier , Laetitia Giraldi

The problem of optimal microscopic swimming in a noisy environment is analyzed. A simplified model in which propulsion is generated by the relative motion of three spheres connected by immaterial links has been considered. We show that an…

Statistical Mechanics · Physics 2015-06-18 Piero Olla

When swimming at low Reynolds numbers, inertial effects are negligible and reciprocal movements cannot induce net motion. Instead, symmetry breaking is necessary to achieve net propulsion. Directed swimming can be supported by magnetic…

Soft Condensed Matter · Physics 2026-03-31 Theo Lequy , Andreas M. Menzel

We establish through numerical simulation conditions for optimal undulatory propulsion for a single fish, and for a pair of hydrodynamically interacting fish, accounting for linear and angular recoil. We first employ systematic 2D…

Fluid Dynamics · Physics 2017-04-05 Audrey P. Maertens , Amy Gao , Michael S. Triantafyllou

For a sperm cell-like flagellated swimmer in an unbounded domain, several numerical models of different fidelity are considered based on the Stokes flow approximation. The models include a Regularised Stokeslet Method and a 3D Finite…

Fluid Dynamics · Physics 2018-10-02 C. Rorai , M. Zaitsev , S. Karabasov

The passive rotation of rigid helical filaments is the propulsion strategy used by flagellated bacteria and some artificial microswimmers to navigate at low Reynolds numbers. In a classical 1976 paper, Lighthill calculated the `optimal'…

Fluid Dynamics · Physics 2025-03-27 Pyae Hein Htet , Eric Lauga

We study the energetic efficiency of navigating microswimmers by explicitly taking into account the geometry of their body. We show that, as their shape transitions from prolate to oblate, non-steering microswimmers rotated by flow…

Soft Condensed Matter · Physics 2024-03-18 Lorenzo Piro , Andrej Vilfan , Ramin Golestanian , Benoît Mahault

We study the trajectories of a model microorganism inside three-dimensional channels with square and rectangular cross-sections. Using (i) numerical simulations based on lattice-Boltzmann method, and (ii) analytical expressions using…

Soft Condensed Matter · Physics 2024-08-16 Byjesh N. Radhakrishnan , Ahana Purushothaman , Ranabir Dey , Sumesh P Thampi

We study the effect of a rough wall on the controllability of micro-swimmers made of several balls linked by thin jacks: the so-called 3-sphere and 4-sphere swimmers. We show that a controllable swimmer (the 4-sphere swimmer) is not…

Optimization and Control · Mathematics 2013-10-07 David Gérard-Varet , Laetitia Giraldi

Collinear velocity relaxation of two spheres immersed in a viscous incompressible fluid is studied on the basis of an approximate expression for the retarded hydrodynamic interaction. After a sudden impulse applied to one sphere, the other…

Fluid Dynamics · Physics 2020-04-22 B. U. Felderhof

- 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

Synthetic microswimmers show great promise in biomedical applications such as drug delivery and microsurgery. Their locomotion, however, is subject to stringent constraints due to the dominance of viscous over inertial forces at low…

Fluid Dynamics · Physics 2020-07-15 Alan Cheng Hou Tsang , Pun Wai Tong , Shreyes Nallan , On Shun Pak

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

Individual magnetic wax spheres with specific gravities of 1.006, 1.054 and 1.152 were released from rest on a smooth wall in water at friction Reynolds numbers, Re_{\tau}=680 and 1320 (d^+ = 58 and 122 viscous units, respectively).…

Fluid Dynamics · Physics 2020-09-30 Yi Hui Tee , Diogo Barros , Ellen K. Longmire