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We propose a combined analytical-numerical strategy to predict the dynamics and trajectory of a microswimmer next to a curved spherical obstacle. The microswimmer is actuated by a slip velocity on its surface and a uniformly valid solution…

Soft Condensed Matter · Physics 2017-10-31 Nima Sharifi-Mood , Pablo G. Díaz-Hyland , Ubaldo M. Córdova-Figueroa

Predicting how a deformable body moves and deforms in a viscous flow underlies problems ranging from microorganism locomotion to soft microrobotics, yet existing frameworks are either problem-specific or ill-suited to inverse design. We…

Fluid Dynamics · Physics 2026-05-25 Christophe Eloy

In this paper we investigate different strategies to overcome the scallop theorem. We will show how to obtain a net motion exploiting the fluid's type change during a periodic deformation. We are interested in two different models: in the…

Dynamical Systems · Mathematics 2016-11-08 Fabio Bagagiolo , Rosario Maggistro , Marta Zoppello

The paper is devoted to the study of the motion of one-dimensional rigid bodies during a free fall in a quasi-Newtonian hyperviscous fluid at low Reynolds number. We show the existence of a steady solution and furnish sufficient conditions…

Mathematical Physics · Physics 2016-03-23 Giulio G. Giusteri , Alfredo Marzocchi , Alessandro Musesti

The drag anisotropy of slender filaments is a critical physical property allowing swimming in low-Reynolds number flows, and without it linear translation is impossible. Here we show that, in contrast, net rotation can occur under isotropic…

Fluid Dynamics · Physics 2016-05-04 Lyndon Koens , Eric Lauga

Undulatory slender objects have been a central theme in the hydrodynamics of swimming at low Reynolds number, where the slender body is usually assumed to be inextensible, although some microorganisms and artificial microrobots largely…

Fluid Dynamics · Physics 2025-11-10 Kenta Ishimoto , Johann Herault , Clément Moreau

Cell motility in viscous fluids is ubiquitous and affects many biological processes, including reproduction, infection, and the marine life ecosystem. Here we review the biophysical and mechanical principles of locomotion at the small…

Soft Condensed Matter · Physics 2009-09-16 Eric Lauga , Thomas R. Powers

Hydrodynamic interactions are crucial for determining the cooperative behavior of microswimmers at low Reynolds numbers. Here we provide a comprehensive analysis of the scaling and strength of the interactions in the case of a pair of…

Soft Condensed Matter · Physics 2021-02-11 Sebastian Ziegler , Thomas Scheel , Maxime Hubert , Jens Harting , Ana-Sunčana Smith

We computationally study the kinematics of a simple model reciprocal swimmer (asymmetric dumbbell) as a function of the Reynolds number (Re) and investigate how the onset and gradual increase of inertia impacts the swimming behavior: a…

Soft Condensed Matter · Physics 2020-07-01 Thomas Dombrowski , Daphne Klotsa

We study the lubrication of fluid-immersed soft interfaces and show that elastic deformation couples tangential and normal forces and thus generates lift. We consider materials that deform easily, due to either geometry (e.g. a shell) or…

Soft Condensed Matter · Physics 2009-11-10 J. M. Skotheim , L. Mahadevan

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

Many small organisms self-propel in viscous fluids using travelling wave-like deformation of their bodies or appendages. Examples include small nematodes moving through soil using whole-body undulations or spermatozoa swimming through mucus…

Biological Physics · Physics 2015-07-02 Emily E. Riley , Eric Lauga

The mechanism of swimming at very low Reynolds number conditions is a topic of interest to biologists and engineering community. We develop a novel kinematic model of a slender flexible swimmer which locomotes in a low Reynolds number…

Systems and Control · Computer Science 2018-03-26 Sudin Kadam , Ravi N. Banavar

We study the orientational and translational dynamics of spherical microswimmers trapped at fluid interfaces, in terms of the force dipole and source dipole components of their flow field. Using numerical simulations and analytical…

Soft Condensed Matter · Physics 2022-04-26 Harinadha Gidituri , Zaiyi Shen , Alois Wurger , Juho S. Lintuvuori

The surface shear viscosity of an insoluble surfactant monolayer often depends strongly on its surface pressure. Here, we show that a particle moving within a bounded monolayer breaks the kinematic reversibility of low-Reynolds-number…

Soft Condensed Matter · Physics 2017-09-25 Harishankar Manikantan , Todd M. Squires

Fluid-based locomotion at low Reynolds number is subject to the constraints of the scallop theorem, which dictate that body kinematics identical under a time-reversal symmetry (in particular, those with a single degree of freedom) cannot…

Biological Physics · Physics 2013-03-13 Gregory L. Wagner , Eric Lauga

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

Low Reynolds number direct simulations of large populations of hydrodynamically interacting swimming particles confined between planar walls are performed. The results of simulations are compared with a theory that describes dilute…

Fluid Dynamics · Physics 2015-05-13 Juan P. Hernandez-Ortiz , Patrick T. Underhill , Michael D. Graham

Many microorganisms swim through gels and non-Newtonian fluids in their natural environments. In this paper, we focus on microorganisms which use flagella for propulsion. We address how swimming velocities are affected in nonlinearly…

Biological Physics · Physics 2010-04-07 Henry C. Fu , Charles W. Wolgemuth , Thomas R. Powers

In isotropic fluids like water, micrometer-scale swimmers have evolved swim strokes to translate despite their tiny size. As described by Purcell in his Scallop Theorem, reciprocal motions, like those performed by a scallop, cannot drive…