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Micro-organisms usually can swim in their liquid environment by flagellar or ciliary beating. In this numerical work, we analyze the influence of flagellar beating on the orbits of a swimming cell in a shear flow. We also calculate the…

Soft Condensed Matter · Physics 2017-11-21 Levan Jibuti , Walter Zimmermann , Salima Rafaï , Philippe Peyla

In Stokes flow, Purcell's scallop theorem forbids objects with time-reversible (reciprocal) swimming strokes from moving. In the presence of inertia, this restriction is eased and reciprocally deforming bodies can swim. A number of recent…

Fluid Dynamics · Physics 2022-11-30 Nicholas J. Derr , Thomas Dombrowski , Chris H. Rycroft , Daphne Klotsa

Swimming microorganisms often self propel in fluids with complex rheology. While past theoretical work indicates that fluid viscoelasticity should hinder their locomotion, recent experiments on waving swimmers suggest a possible…

Biological Physics · Physics 2014-11-25 Emily E. Riley , Eric Lauga

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

Suspensions of unicellular microswimmers such as flagellated bacteria or motile algae exhibit spontaneous density heterogeneities at large enough concentrations. Based on the relative location of the biological actuation appendages i.e.…

Soft Condensed Matter · Physics 2017-11-27 Fabian Jan Schwarzendahl , Marco G. Mazza

We present a study of the hydrodynamics of an active particle, a model squirmer, in an envi- ronment with a broken rotational symmetry: a nematic liquid crystal. By combining simulations with analytic calculations, we show that the…

Soft Condensed Matter · Physics 2017-08-16 Juho S. Lintuvuori , Alois Würger , Kevin Stratford

We study the dynamics of gyrotactic microswimmers suspended in homogeneous and isotropic turbulence by using direct numerical simulations (DNS). The swimmers are characterized by three non-dimensional parameters: their aspect ratio…

Soft Condensed Matter · Physics 2026-04-24 Suraj Kumar Nayak , Vishwanath Shukla , Akshay Bhatnagar

We analyze the dynamics of a microswimmer in pressure-driven Poiseuille flow, where fluid inertia is small but non-negligible. Using perturbation theory and the reciprocal theorem, we show that in addition to the classical inertial lift of…

Soft Condensed Matter · Physics 2021-09-21 Akash Choudhary , Subhechchha Paul , Felix Rühle , Holger Stark

Sperm modulate their flagellar symmetry to navigate through complex physico-chemical environments and achieve reproductive function. Yet it remains elusive how sperm swim forwards despite the inherent asymmetry of several components that…

Biological Physics · Physics 2023-07-21 Xiaomeng Ren , Hermes Bloomfield-Gadêlha

Active fluids, such as suspensions of microswimmers, are known to self-organize into complex spatio-temporal flow patterns. An intriguing example is mesoscale turbulence, a state of dynamic vortex structures exhibiting a characteristic…

Soft Condensed Matter · Physics 2025-07-02 Henning Reinken , Sebastian Heidenreich , Markus Bär , Sabine H. L. Klapp

Inspired by small intestine motility, we investigate the flow induced by a propagating pendular-wave along the walls of a channel lined with rigid, villi-like microstructures. The villi undergo harmonic axial oscillations with a phase lag…

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

The current study presents a systematic investigation of the locomotion performance of a swimmer with a wide range of parameter settings. Two-dimensional simulations with the immersed boundary method are employed for the fluid-structure…

Fluid Dynamics · Physics 2023-12-21 Wenkang Wang , Xu Chu

Although the motility of the flagellated bacteria, Escherichia coli, has been widely studied, the effect of viscosity on swimming speed remains controversial. The swimming mode of wild-type E.coli is often idealized as a "run-and- tumble"…

Biological Physics · Physics 2018-05-09 Zijie Qu , Fatma Zeynep Temel , Rene Henderikx , Kenneth S. Breuer

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

The stochastic dynamics of flagellar beating for micro-swimmers, such as flagellated cells, sperms and microalgae, is widely thought to include a feedback mechanism between flagellar shape and the rate of activation/de-activation of the $N…

Soft Condensed Matter · Physics 2026-05-01 F. Fanelli , A. Puglisi

We consider arbitrary-shaped microswimmers of spherical topology and propose a framework for expressing their slip velocity in terms of tangential basis functions defined on the boundary of the swimmer using the Helmholtz decomposition.…

Fluid Dynamics · Physics 2026-04-14 Kausik Das , Hai Zhu , Marc Bonnet , Shravan Veerapaneni

Microswimmers display an intriguing ability to navigate through fluids with spatially varying viscosity, a behavior known as viscotaxis, which plays a crucial role in guiding their motion. In this study, we reveal that the orientation…

Fluid Dynamics · Physics 2025-06-25 Takuya Kobayashi , Ryoichi Yamamoto

We analyse the effect of confining rigid and elastic boundaries on the motility of a model dipolar microswimmer. Flexible boundaries are deformed by the velocity field of the swimmer in such a way that the motility of both extensile and…

Soft Condensed Matter · Physics 2015-06-15 Rodrigo Ledesma-Aguilar , Julia M. Yeomans

We investigate the hydrodynamic stability and transport of magnetic microswimmers in an external field using a kinetic theory framework. Combining linear stability analysis and nonlinear 3D continuum simulations, we show that for…

Soft Condensed Matter · Physics 2019-02-20 Fabian R. Koessel , Sara Jabbari-Farouji