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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

The "squirmer model" is a classical hydrodynamic model for the motion of interfacially-driven microswimmers, such as self-phoretic colloids or volvocine green algae. To date, most studies using the squirmer model have considered spherical…

Soft Condensed Matter · Physics 2023-10-31 Ruben Poehnl , William E. Uspal

Hydrodynamic interaction strongly influences the collective behavior of the microswimmers. With this work, we study the behavior of two hydrodynamically interacting self-propelled chiral swimmers in the low Reynolds number regime,…

Soft Condensed Matter · Physics 2022-11-28 Ruma Maity , P. S. Burada

The ciliary locomotion and feeding of an axisymmetric micro-swimmer in a complex fluid whose viscosity depends on nutrient concentration are investigated numerically. The micro-swimmer is modeled as having spheroidal geometry, and ciliary…

Fluid Dynamics · Physics 2020-07-01 Patrick S. Eastham , Kourosh Shoele

Many microorganisms take a chiral path while swimming in an ambient uid. In this paper, we study the combined behavior of two chiral swimmers using the well-known squirmer model taking into account chiral asymmetries. In contrast to the…

Soft Condensed Matter · Physics 2022-02-23 P. S. Burada , R. Maity , F. Jülicher

The hydrodynamic interactions between a sedimenting microswimmer and a solid wall have ubiquitous biological and technological applications. A plethora of gravity-induced swimming dynamics near a planar no-slip wall provides a platform for…

Soft Condensed Matter · Physics 2025-05-14 Henry Shum , Devenayagam Palaniappan , Yuan-Nan Young

Microswimmers play an important role in shaping the world around us. The squirmer is a simple model for microswimmer whose cilia oscillations on its spherical surface induce an effective slip velocity to propel itself. The rapid development…

Fluid Dynamics · Physics 2024-11-22 Xinwei Cai , Kuiliang Wang , Gaojin Li , Xin Bian

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

We perform hydrodynamic simulations using the method of multi-particle collision dynamics and a theoretical analysis to study a single squirmer microswimmer at high P\'eclet number, which moves in a low Reynolds number fluid and under…

Fluid Dynamics · Physics 2018-03-14 Felix Rühle , Johannes Blaschke , Jan-Timm Kuhr , Holger Stark

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

A striking feature of the collective behavior of spherical microswimmers is that for sufficiently strong self-propulsion they phase-separate into a dense cluster coexisting with a low-density dis- ordered surrounding. Extending our previous…

Soft Condensed Matter · Physics 2016-10-31 Johannes Blaschke , Maurice Maurer , Karthik Menon , Andreas Zöttl , Holger Stark

The hydrodynamics of a flagellated microorganism is investigated when swimming close to a planar free-slip surface by means of numerical solu- tions of the Stokes equations obtained via a Boundary Element Method. Depending on the initial…

Fluid Dynamics · Physics 2017-03-31 Daniela Pimponi , Mauro Chinappi , Paolo Gualtieri , Carlo Massimo Casciola

We present a two dimensional model of hydrodynamic interaction between a circular swimmer and a circular post at low Reynolds number, using a point singularity description of the swimming activity. We derive a nonlinear dynamical system…

Fluid Dynamics · Physics 2016-12-09 Dario Papavassiliou , Gareth P Alexander

Both natural and artificial small-scale swimmers may often self-propel in environments subject to complex geometrical constraints. While most past theoretical work on low-Reynolds number locomotion addressed idealised geometrical…

Fluid Dynamics · Physics 2017-11-16 Alexander Chamolly , Takuji Ishikawa , Eric Lauga

We analyze a minimal model for a rigid spherical microswimmer and explore the consequences of its extended surface on the interplay between its self-propulsion and flow properties. The model is the first order representation of…

Soft Condensed Matter · Physics 2017-12-06 Tapan Chandra Adhyapak , Sara Jabbari-Farouji

Microorganisms navigate through fluid, often confined by complex environments, to survive and sustain life. Inspired by this fact, we consider a model system and seek to understand the wall curvature driven dynamics of a squirmer, a…

Soft Condensed Matter · Physics 2021-08-25 Chaithanya K. V. S. , Sumesh P. Thampi

We provide exact solutions of the Stokes equations for a squirming sphere close to a no-slip surface, both planar and spherical, and for the interactions between two squirmers, in three dimensions. These allow the hydrodynamic interactions…

Fluid Dynamics · Physics 2017-04-05 Dario Papavassiliou , Gareth P. Alexander

A concentrated, vertical monolayer of identical spherical squirmers, which may be bottom-heavy, and which are subjected to a linear shear flow, is modelled computationally by two different methods: Stokesian dynamics, and a…

Fluid Dynamics · Physics 2020-04-30 T. Ishikawa , D. R. Brumley , T. J. Pedley

We run numerical simulations of strongly confined suspensions of model spherical swimmers called "squirmers". Because of the confinement, the Stokeslet dipoles generated by the particles are quickly screened and the far-field flow is…

Fluid Dynamics · Physics 2016-06-22 Jean-Baptiste Delfau , John Molina , Masaki Sano

We present the results of hydrodynamic simulations using the method of multi-particle collision dynamics for a system of squirmer microswimmers moving under the influence of gravity at low Reynolds numbers. In addition, the squirmers are…

Fluid Dynamics · Physics 2020-05-13 Felix Rühle , Holger Stark
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