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The observed behaviour of passive objects in simple flows can be surprisingly intricate, and is complicated further by object activity. Inspired by the motility of bacterial swimmers, in this two-part study we examine the three-dimensional…

In periodic wave motion, particles beneath the wave undergo a drift in the direction of wave propagation, a phenomenon known as Stokes drift. While extensive research has been conducted on Stokes drift in water wave flows, its counterpart…

Fluid Dynamics · Physics 2025-07-18 Luiz P. Palacio , Marcelo V. Flamarion , Tao Gao , Roberto Ribeiro-Jr

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

Systematic deflection of microparticles off of initial streamlines is a fundamental task in microfluidics, aiming at applications including sorting, accumulation, or capture of the transported particles. In a large class of setups,…

Fluid Dynamics · Physics 2026-04-01 Partha Kumar Das , Xuchen Liu , Sascha Hilgenfeldt

One of the principal mechanisms by which surfaces and interfaces affect microbial life is by perturbing the hydrodynamic flows generated by swimming. By summing a recursive series of image systems we derive a numerically tractable…

Soft Condensed Matter · Physics 2016-10-12 Arnold J. T. M. Mathijssen , Amin Doostmohammadi , Julia M. Yeomans , Tyler N. Shendruk

Organisms often swim through density stratified fluids. In this Letter, we investigate the dynamics of small active particles swimming in density gradients and report theoretical evidence of taxis as a result of density stratification…

Soft Condensed Matter · Physics 2023-08-02 Vaseem A. Shaik , Gwynn J. Elfring

Active particles (living or synthetic) often move through inhomogeneous environments, such as gradients in light, heat or nutrient concentration, that can lead to directed motion (or taxis). Recent research has explored inhomogeneity in the…

Soft Condensed Matter · Physics 2022-08-23 Jiahao Gong , Vaseem A. Shaik , Gwynn J. Elfring

Particles such as microplastics and phytoplankton suspended in the water column in the natural environment are often subject to the action of surface gravity waves. By modelling such anisotropic particles as small spheroids that slowly…

Fluid Dynamics · Physics 2023-08-03 Nimish Pujara , Jean-Luc Thiffeault

We study the role of hydrodynamic interactions in the collective behaviour of collections of microscopic active particles suspended in a fluid. We introduce a novel calculational framework that allows us to separate the different…

Soft Condensed Matter · Physics 2017-09-06 Natsuhiko Yoshinaga , Tanniemola B. Liverpool

We derive the flow field disturbance produced by point viscosity variations in a heterogeneous fluid when subject to a background flow while neglecting fluid inertia. The disturbance flow field is found to be identical to that generated by…

Fluid Dynamics · Physics 2022-03-25 Debasish Das

In this paper, we explore the hydrodynamics of spheroidal active particles in viscosity gradients. This work provides a more accurate modeling approach, in comparison to spherical particles, for anisotropic organisms like Paramecium…

Fluid Dynamics · Physics 2025-07-09 Jiahao Gong , Vaseem A. Shaik , Gwynn J. Elfring

A recent surge of discoveries has sparked significant interest in active systems where a particle moves autonomously in resonance with its self-generated wave field, leading to notable wave-mediated effects including new propulsion…

Soft Condensed Matter · Physics 2026-05-26 Austin M. Blitstein , Rodolfo R. Rosales , Pedro J. Sáenz

We propose a method for effectively upscaling incompressible viscous flow in large random polydispersed sphere packings: the emphasis of this method is on the determination of the forces applied on the solid particles by the fluid. Pore…

Soft Condensed Matter · Physics 2015-03-19 B. Chareyre , A. Cortis , E. Catalano , E. Barthélémy

A generalized reciprocal theorem is used to relate the force and torque induced on a particle in an inertia-less fluid with small variation in viscosity to integrals involving Stokes flow fields and the spatial dependence of viscosity.…

Fluid Dynamics · Physics 2025-03-20 Arjun Sharma , Peter A. Bosler , Rama Govindarajan , Donald L. Koch

We study, by means of an exact analytical solution, the motion of a spheroidal, axisymmetric squirmer in an unbounded fluid, as well as the low Reynolds number hydrodynamic flow associated to it. In contrast to the case of a spherical…

Fluid Dynamics · Physics 2020-11-30 Ruben Poehnl , Mihail N. Popescu , William E. Uspal

We study theoretically the hydrodynamics of a fluid drop containing oriented filaments endowed with active contractile or extensile stresses and placed on a solid surface. The active stresses alter qualitatively the wetting properties of…

Soft Condensed Matter · Physics 2015-06-03 Jean-Francois Joanny , Sriram Ramaswamy

We study the orientation statistics of spheroidal, axisymmetric microswimmers, with shapes ranging from disks to rods, swimming in chaotic, moderately turbulent flows. Numerical simulations show that rod-like active particles preferentially…

Fluid Dynamics · Physics 2019-10-02 M. Borgnino , K. Gustavsson , F. De Lillo , G. Boffetta , M. Cencini , B. Mehlig

The role of passive body dynamics on the kinematics of swimming micro-organisms in complex fluids is investigated. Asymptotic analysis of small amplitude motions of a finite-length undulatory swimmer in a Stokes-Oldroyd-B fluid is used to…

Fluid Dynamics · Physics 2017-10-11 Becca Thomases , Robert D. Guy

Swimming at small Reynolds number of a linear assembly of identical spheres immersed in a viscous fluid is studied on the basis of a set of equations of motion for the individual spheres. The motion of the spheres is caused by actuating…

Fluid Dynamics · Physics 2016-10-20 B. U. Felderhof

Exact results for three trajectories of small numbers of particles interacting hydrodynamically through Stokeslets are presented. First, the middle particle in a vertical trio of particles sediments at a constant velocity for all time.…

Fluid Dynamics · Physics 2025-04-01 Benjamin J. Landrum