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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

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

The hydrodynamic stresses created by active particles can destabilise orientational order present in the system. This is manifested, for example, by the appearance of a bend instability in active nematics or in quasi-2-dimensional living…

Soft Condensed Matter · Physics 2024-06-05 Bhavesh Gautam , Juho Lintuvuori

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

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

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

We consider the Beris-Edwards model describing nematic liquid crystal dynamics and restrict to a shear flow and spatially homogeneous situation. We analyze the dynamics focusing on the effect of the flow. We show that in the co-rotational…

Dynamical Systems · Mathematics 2018-05-09 Adrian C. Murza , Antonio E. Teruel , Arghir D. Zarnescu

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

In biological systems, microswimmers often propel themselves through complex media. However, many aspects of swimming mechanisms in non-Newtonian fluids remain unclear. This study considers the propulsion of two types of single spherical…

Fluid Dynamics · Physics 2024-10-14 Takuya Kobayashi , Ryoichi Yamamoto

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

Inspired by recent experiments using synthetic microswimmers to manipulate droplets, we investigate the low-Reynolds-number locomotion of a model swimmer (a spherical squirmer) encapsulated inside a droplet of comparable size in another…

Soft Condensed Matter · Physics 2017-03-14 Shang Yik Reigh , Lailai Zhu , François Gallaire , Eric Lauga

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

Three-dimensional simulations with fully resolved hydrodynamics are performed to study the dynamics of a single squirmer under gravity, in order to clarify its motion in the vicinity of a flat plate. Different dynamics emerge for different…

Fluid Dynamics · Physics 2020-05-27 Federico Fadda , John Jairo Molina , Ryoichi Yamamoto

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

The incessant swimming motion of microbes in dense suspensions can give rise to striking collective motions and coherent structures. However, theoretical investigations of these structures typically utilize either computationally demanding…

Fluid Dynamics · Physics 2019-05-29 Douglas R. Brumley , Timothy J. Pedley

We study a simplified system of the original Ericksen--Leslie equations for the flow of nematic liquid crystals. This is a coupled non-parabolic dissipative dynamic system. We show the convergence of global classical solutions to single…

Analysis of PDEs · Mathematics 2010-11-04 Hao Wu

Active systems comprised of self-propelled units show fascinating transitions from Brownian-like dynamics to collective coherent motion. Swirling of swimming bacteria is a spectacular example. This study demonstrates that a nematic liquid…

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 investigate channel-confined, nematic liquid crystals using the Beris-Edwards model of nematohydrodynamics. Using strong homeotropic anchoring at the walls, we find multistability i.e. multiple coexisting states where the uniform nematic…

Soft Condensed Matter · Physics 2025-11-19 Rahil N. Valani , Sumesh Thampi , Julia M. Yeomans

We show how to simulate the equatorial section of the Schwarzschild metric through a flowing liquid crystal in its nematic phase. Inside a liquid crystal in the nematic phase, a traveling light ray feels an effective metric, whose…

General Relativity and Quantum Cosmology · Physics 2013-01-23 Erms R. Pereira , Fernando Moraes
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