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Related papers: Squirmers with arbitrary shape and slip: modeling,…

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The dynamics of anisotropic particles in viscous flows underpin a wide range of processes in soft matter, microfluidics, and targeted drug delivery. Here, we investigate the motion of externally driven prolate and oblate spheroids suspended…

Soft Condensed Matter · Physics 2026-03-24 Aditya Bhowmik , Kevin Stratford , Oliver Henrich , Sumesh P. Thampi

Microorganisms naturally move in microstructured fluids. Using the simulation method of multi-particle collision dynamics, we study an undulatory Taylor line swimming in a two-dimensional microchannel and in a cubic lattice of obstacles,…

Soft Condensed Matter · Physics 2016-04-11 Jan L. Münch , Davod Alizadehrad , Sujin Babu , Holger Stark

Viscoelasticity governs the locomotion strategies of deformable microorganisms, rendering it a fundamental mechanical property of microbial motility and an integral component in the design of envisioned microbots. Recent studies have shown…

Soft Condensed Matter · Physics 2026-05-01 Vimal Singh , Akash Choudhary

We study the local controllability properties of 2D and 3D bio-mimetic swimmers employing the change of their geometric shape to propel themselves in an incompressible fluid described by Navier-Stokes equations. It is assumed that swimmers'…

Analysis of PDEs · Mathematics 2016-05-09 Piermarco Cannarsa , Alexandre Khapalov

The motion of a freely rotating prolate spheroid in a simple shear flow of a dilute polymeric solution is examined in the limit of large particle aspect ratio, $\kappa$. A regular perturbation expansion in the polymer concentration, $c$, a…

Fluid Dynamics · Physics 2023-10-03 Arjun Sharma , Donald L. Koch

We model a slip boundary condition at fluid-solid interface of an arbitrary geometry in smoothed particle hydrodynamics and smoothed dissipative particle dynamics simulations. Under an assumption of linear profile of the tangential velocity…

Fluid Dynamics · Physics 2023-03-14 Xinwei Cai , Zhen Li , Xin Bian

Locomotion and transport of microorganisms in fluids is an essential aspect of life. Search for food, orientation toward light, spreading of off-spring, and the formation of colonies are only possible due to locomotion. Swimming at the…

Biological Physics · Physics 2015-05-26 Jens Elgeti , Roland G. Winkler , Gerhard Gompper

Translational and rotational swimming at small Reynolds number of a planar assembly of identical spheres immersed in an incompressible viscous fluid is studied on the basis of a set of equations of motion for the individual spheres. The…

Fluid Dynamics · Physics 2017-10-25 B. U. Felderhof

Synthetic microswimmers show great promise in biomedical applications such as drug delivery and microsurgery. Their locomotion, however, is subject to stringent constraints due to the dominance of viscous over inertial forces at low…

Fluid Dynamics · Physics 2020-07-15 Alan Cheng Hou Tsang , Pun Wai Tong , Shreyes Nallan , On Shun Pak

We propose to apply an "effective boundary condition" method to the problem of chiral propulsion. For the case of a rotating helix moving through a fluid at a low Reynolds number, the method amounts to replacing the original helix (in the…

Fluid Dynamics · Physics 2021-09-01 Leonid A. Korneev , Dmitri E. Kharzeev , Alexander G. Abanov

We develop a general hydrodynamic theory describing a system of interacting actively propelling particles of arbitrary shape suspended in a viscous fluid. We model the active part of the particle motion using a slip velocity prescribed on…

Fluid Dynamics · Physics 2019-01-15 Bhargav Rallabandi , Fan Yang , Howard A. Stone

We propose a number of variational regularisation methods for the estimation and decomposition of motion fields on the $2$-sphere. While motion estimation is based on the optical flow equation, the presented decomposition models are…

Optimization and Control · Mathematics 2014-03-05 Clemens Kirisits , Lukas F. Lang , Otmar Scherzer

We propose a geometric model for optimal shape-change-induced motions of slender locomotors, e.g., snakes slithering on sand. In these scenarios, the motion of a body in world coordinates is completely determined by the sequence of shapes…

Robotics · Computer Science 2026-02-13 Oliver Gross , Florine Hartwig , Martin Rumpf , Peter Schröder

Microscopic swimmers, e.g., chemotactic bacteria and cells, are capable of directed motion by exerting a force on their environment. For asymmetric microswimmers, e.g., bacteria, spermatozoa and many artificial active colloidal particles, a…

Soft Condensed Matter · Physics 2013-07-09 Mite Mijalkov , Giovanni Volpe

Motivated by recent experiments, we consider the hydrodynamic capture of a microswimmer near a stationary spherical obstacle. Simulations of model equations show that a swimmer approaching a small spherical colloid is simply scattered. In…

Fluid Dynamics · Physics 2015-05-12 Saverio E. Spagnolie , Gregorio R. Moreno-Flores , Denis Bartolo , Eric Lauga

We present a lattice Boltzmann study of the hydrodynamics of a fully resolved squirmer, radius R, confined in a slab of fluid between two no-slip walls. We show that the coupling between hydrodynamics and short-range repulsive interactions…

Soft Condensed Matter · Physics 2016-03-30 Juho S. Lintuvuori , Aidan T. Brown , Kevin Stratford , Davide Marenduzzo

Few simulations exist for microswimmers near deformable interfaces. Here, we present numerical simulations of the hydrodynamic flows associated with a single microswimmer embedded in a binary fluid mixture. The two fluids demix, separated…

Soft Condensed Matter · Physics 2022-05-24 Chao Feng , John J. Molina , Matthew S. Turner , Ryoichi Yamamoto

Motivated by the aim of understanding the effect of media heterogeneity on the swimming dynamics of flagellated bacteria, we study the rotation and swimming of rigid helices in dilute suspensions experimentally and theoretically. We first…

Fluid Dynamics · Physics 2024-11-27 Albane Théry , Andres Zambrano , Eric Lauga , Roberto Zenit

Helhmoltz-Kirchhoff equations of motions of vortices of an incompressible fluid in the plane define a dynamics with singularities and this leads to a Zermelo navigation problem describing the ship travel in such a field where the control is…

Optimization and Control · Mathematics 2020-07-14 Bernard Bonnard , Olivier Cots , Boris Wembe

In this note, we study the effect of viscosity gradients on the energy dissipated by the motion of microswimmers and the associated efficiency of that motion. Using spheroidal squirmer model swimmers in weak linearly varying viscosity…

Fluid Dynamics · Physics 2024-11-20 Jiahao Gong , Vaseem A. Shaik , Gwynn J. Elfring
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