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Cooperation between micro-organisms give rise to novel phenomena like clustering, swarming in suspension. We study the collective behavior of the artificial swimmer called Taylor line at low Reynolds number using multi-particle collision…

Soft Condensed Matter · Physics 2018-02-14 Adyant Agrawal , Sujin B. Babu

Particle motion in non-Newtonian fluids can be markedly different than in Newtonian fluids. Here we look at the change in dynamics for a few problems involving rigid spherical particles in shear-thinning fluids in the absence of inertia. We…

Fluid Dynamics · Physics 2018-02-27 Charu Datt , Gwynn J. Elfring

We study the motion of a rigid body within a compressible, isentropic, and viscous fluid contained in a fixed bounded domain $\Omega \subset \mathbb{R}^3$. The fluid's behavior is described by the Navier-Stokes equations, while the motion…

Analysis of PDEs · Mathematics 2024-08-15 Šimon Axmann , Šárka Nečasová , Ana Radošević

How anisotropic particles rotate and orient in a flow depends on the hydrodynamic torque they experience. Here we compute the torque acting on a small spheroid in a uniform flow by numerically solving the Navier-Stokes equations. Particle…

Fluid Dynamics · Physics 2021-02-09 F. Jiang , L. Zhao , H. I. Andersson , K. Gustavsson , A. Pumir , B. Mehlig

Optimal gait design is important for micro-organisms and micro-robots that propel themselves in a fluid environment in the absence of external force or torque. The simplest models of shape changes are those that comprise a series of…

Fluid Dynamics · Physics 2019-10-01 Qixuan Wang

We investigate theoretically the collective dynamics of a suspension of low Reynolds number swimmers that are confined to two dimensions by a thin fluid film. Our model swimmer is characterized by internal degrees of freedom which locally…

Biological Physics · Physics 2015-05-19 M. Leoni , T. B. Liverpool

Resistance functions for two spherical particles with the Navier slip boundary condition in general linear flows, including rigid translation, rigid rotation, and strain, at low Reynolds number are derived by the method of reflections as…

Statistical Mechanics · Physics 2013-02-05 Kengo Ichiki , Alexander E. Kobryn , Andriy Kovalenko

Recent research has shown that motile cells can adapt their mode of propulsion depending on the environment in which they find themselves. One mode is swimming by blebbing or other shape changes, and in this paper we analyze a class of…

Fluid Dynamics · Physics 2016-10-10 Qixuan Wang , Hans G. Othmer

It has been recently shown that it is possible to design simple artificial swimmers at low Reynoldsnumber that possess only one degree of freedom and, nevertheless, can overcome Purcell's celebratedscallop theorem. One of the few examples…

Soft Condensed Matter · Physics 2024-03-20 Jessie Levillain , François Alouges , Antonio Desimone , Akash Choudhary , Sankalp Nambiar , Ida Bochert

Low Reynolds number swimmers frequently move near boundaries, such as spirochetes moving through porous tissues and sperm navigating the reproductive tract. Furthermore, these microorganisms must often navigate non-Newtonian fluids such as…

Fluid Dynamics · Physics 2023-11-10 D. Gagnon , B. Thomases , R. D. Guy , P. E. Arratia

The swimming of a deformable planar slab in a viscous incompressible fluid is studied on the basis of the Navier-Stokes equations. A continuum of plane wave displacements, symmetric on both sides of the slab and characterized by a…

Fluid Dynamics · Physics 2016-11-08 B. U. Felderhof

Pairwise hydrodynamic interactions of microswimmers form the fundamental building blocks for understanding their more complex collective behaviors. In this work, we revisit the canonical problem of two interacting squirmers swimming along…

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

Here we introduce a two-dimensional (2D) low-Reynolds swimmer and discuss the motion of the swimmer both in noise-free and stochastic regimes. Three spheres, linked by extensible arms, in a plane form the triangle body of micro-swimmer.…

Soft Condensed Matter · Physics 2014-12-11 Mehran Ebrahimian , Mohammad Reza Ejtehadi

Small organisms (e.g., bacteria) and artificial microswimmers move due to a combination of active swimming and passive Brownian motion. Considering a simplified linear three-sphere swimmer, we study how the swimmer size regulates the…

Soft Condensed Matter · Physics 2010-10-13 Jörn Dunkel , Irwin M. Zaid

Velocity relaxation of a spherically symmetric polymer, immersed in a viscous incompressible fluid, and after a sudden small impulse or a sudden twist from a state of rest, is studied on the basis of the linearized Navier-Stokes equations…

Fluid Dynamics · Physics 2015-06-17 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

Many microorganisms swim in a highly heterogeneous environment with obstacles such as fibers or polymers. To better understand how this environment affects microorganism swimming, we study propulsion of a cylinder or filament in a fluid…

Fluid Dynamics · Physics 2016-04-13 Nguyenho Ho , Karin Leiderman , Sarah D. Olson

Oscillatory flows have become an indispensable tool in microfluidics, inducing inertial effects for displacing and manipulating fluid-borne objects in a reliable, controllable, and label-free fashion. However, the quantitative description…

We consider a suspension of active rigid particles (swimmers) in a steady Stokes flow, where particles are distributed according to a stationary ergodic random process, and we study its homogenization in the macroscopic limit. A key point…

Analysis of PDEs · Mathematics 2023-03-15 Armand Bernou , Mitia Duerinckx , Antoine Gloria