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Biological microswimmers such as bacteria and sperm cells often encounter complex biological fluid environments. Here we use the well-known squirmer microswimmer model to show the importance of the local fluid microstructure and…

Soft Condensed Matter · Physics 2023-07-19 Andreas Zöttl

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

An axisymmetric squirmer in a Bingham viscoplastic fluid is studied numerically to determine the effect of a yield stress environment on locomotion. The nonlinearity of the governing equations necessitates numerical methods, which is…

Fluid Dynamics · Physics 2022-09-28 Patrick S. Eastham , Hadi Mohammadigoushki , Kourosh Shoele

Computational scientists have investigated swimming performance across a multitude of different systems for decades. Most models depend on numerous model parameters and performance is sensitive to those parameters. In this paper, parameter…

Fluid Dynamics · Physics 2020-11-24 Nicholas A. Battista

Active particles, which interact hydrodynamically, display a remarkable variety of emergent collective phenomena. We use squirmers to model spherical microswimmers and explore the collective behavior of thousands of them under the influence…

Fluid Dynamics · Physics 2017-10-31 Jan-Timm Kuhr , Johannes Blaschke , Felix Rühle , Holger Stark

Symmetric drainage flow of a compressible fluid from a fracture modeled as a long narrow channel is studied on the basis of linearized compressible Navier-Stokes equations with no-slip condition. The Helmholtz decomposition theorem is used…

Fluid Dynamics · Physics 2018-04-24 Di Shen , Kang Ping Chen

A matrix formulation is derived for the calculation of the swimming speed and the power required for swimming of an assembly of rigid spheres immersed in a viscous fluid of infinite extent. The spheres may have arbitrary radii and may…

Soft Condensed Matter · Physics 2014-09-18 B. U. Felderhof

We theoretically and computationally study the low-Reynolds-number hydrodynamics of a linear active microswimmer surfing on a compressible thin fluid layer characterized by an odd viscosity. Since the underlying three-dimensional fluid is…

Soft Condensed Matter · Physics 2023-10-25 Yuto Hosaka , Ramin Golestanian , Abdallah Daddi-Moussa-Ider

In this manuscript we describe the realization of a minimal hybrid microswimmer, composed of a ferromagnetic nanorod and a paramagnetic microsphere. The unbounded pair is propelled in water upon application of a swinging magnetic field that…

The hydrodynamic interactions of a suspension of self-propelled particles are studied using a direct numerical simulation method which simultaneously solves for the host fluid and the swimming particles. A modified version of the "Smoothed…

Soft Condensed Matter · Physics 2013-01-15 John J. Molina , Yasuya Nakayama , Ryoichi Yamamoto

An artificial microswimmer drifts in response to spatio-temporal modulations of an activating suspension medium. We consider two competing mechanisms capable of influencing its tactic response: angular fluctuations, which help it explore…

Soft Condensed Matter · Physics 2017-02-15 Alexander Geiseler , Peter Hänggi , Fabio Marchesoni

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

The optimal strategy for a microscopic swimmer to migrate across a linear shear flow is discussed. The two cases, in which the swimmer is located at large distance, and in the proximity of a solid wall, are taken into account. It is shown…

Soft Condensed Matter · Physics 2015-05-18 Piero Olla

We analyse a simple 'Stokesian squirmer' model for the enhanced mixing due to swimming micro-organisms. The model is based on a calculation of Thiffeault & Childress [Physics Letters A, 374, 3487 (2010), arXiv:0911.5511], where fluid…

Fluid Dynamics · Physics 2013-09-24 Zhi Lin , Jean-Luc Thiffeault , Stephen Childress

Colonies of the green alga $Volvox$ are spheres that swim through the beating of pairs of flagella on their surface somatic cells. The somatic cells themselves are mounted rigidly in a polymeric extracellular matrix, fixing the orientation…

Soft Condensed Matter · Physics 2016-06-29 T. J. Pedley , D. R. Brumley , R. E. Goldstein

We consider the Zermelo navigation problem on the ellipsoid of revolution (spheroid) in the presence of a perturbation $W$ determined by a mild velocity vector field, $|W|<1$, with application of Finsler metric of Randers type in the…

Differential Geometry · Mathematics 2019-03-25 Piotr Kopacz

Coastal erosion describes the displacement of land caused by destructive sea waves, currents or tides. Major efforts have been made to mitigate these effects using groins, breakwaters and various other structures. We try to address this…

Optimization and Control · Mathematics 2022-01-19 Luka Schlegel , Volker Schulz

Achieving macroscopic directed migration of microscale swimmers in a fluid is an important step towards utilizing their autonomous motion. It has been experimentally shown that directed motion can be induced, without any external fields, by…

Soft Condensed Matter · Physics 2017-09-14 Jiajun Tong , Michael J. Shelley

The dynamic interactions between pairs of swimming microorganisms underpin the collective behaviour of larger suspensions, but accurately calculating pairwise collisions has typically required the use of numerical simulations in which…

Soft Condensed Matter · Physics 2021-11-30 C. Darveniza , T. Ishikawa , T. J. Pedley , D. R. Brumley

Swimming by shape changes at low Reynolds number is widely used in biology and understanding how the efficiency of movement depends on the geometric pattern of shape changes is important to understand swimming of microorganisms and in…

Fluid Dynamics · Physics 2015-07-31 Qixuan Wang , Hans G. Othmer
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