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In a shear flow particles migrate to their equilibrium positions in the microchannel. Here we demonstrate theoretically that if particles are inertial, this equilibrium can become unstable due to the Saffman lift force. We derive an…

流体动力学 · 物理学 2021-10-04 Evgeny S. Asmolov , Tatiana V. Nizkaya , Jens Harting , Olga I. Vinogradova

Non-spherical particles transported by turbulent flow have a rich dynamics that combines their translational and rotational motions. Here, the focus is on small, heavy, inertial particles with a spheroidal shape fully prescribed by their…

流体动力学 · 物理学 2023-08-02 Sofia Allende , Jeremie Bec

Quantum vortices are commonly described as funnel-like objects around which the superfluid swirls, and their motion is typically modeled in terms of massless particles. Here we show that in Fermi superfluids the normal component confined in…

The wake of a body moving across the isopycnals of a strongly stratified fluid is characterized by the presence of an intense jet which, under certain circumstances, may become unstable. To get insight into the phenomenology of this…

流体动力学 · 物理学 2025-12-18 Chang-Fan Mo , Matthieu J. Mercier , Jacques Magnaudet , Jie Zhang

We study experimentally the spatial distribution, settling, and interaction of sub-Kolmogorov inertial particles with homogeneous turbulence. Utilizing a zero-mean-flow air turbulence chamber, we drop size-selected solid particles and study…

流体动力学 · 物理学 2019-03-27 Alec J. Petersen , Lucia Baker , Filippo Coletti

We analyse the dynamics of a weakly elastic spherical particle translating parallel to a rigid wall in a quiescent Newtonian fluid in the Stokes limit. The particle motion is constrained parallel to the wall by applying a point force and a…

流体动力学 · 物理学 2026-01-14 Shashikant Verma , Dinesh B , Navaneeth K Marath

We consider the inverse problem of the detection of a single body, immersed in a bounded container filled with a fluid which obeys the Stokes equations, from a single measurement of force and velocity on a portion of the boundary. We obtain…

偏微分方程分析 · 数学 2015-05-18 Andrea Ballerini

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…

流体动力学 · 物理学 2018-02-27 Charu Datt , Gwynn J. Elfring

The settling process and wall impact of large spherical particles in a stagnant, highly viscous fluid has been observed by means of high-speed shadow imaging. The particles included in this study vary in size and material properties: steel,…

流体动力学 · 物理学 2020-09-07 Thomas Hagemeier , Dominique Thévenin , Thomas Richter

We study, from first principles, the pressure exerted by an active fluid of spherical particles on general boundaries in two dimensions. We show that, despite the non-uniform pressure along curved walls, an equation of state is recovered…

Linearized stability of incompressible viscous fluid flows in a thin spherical shell is studied by using the two-dimensional Navier--Stokes equations on a sphere. The stationary flow on the sphere has two singularities (a sink and a source)…

经典分析与常微分方程 · 数学 2009-11-11 Ranis N. Ibragimov , Dmitry E. Pelinovsky

We consider $N$ identical inertialess rigid spherical particles in a Stokes flow in a domain $\Omega \subset \mathbb R^3$. We study the average sedimentation velocity of the particles when an identical force acts on each particle. If the…

偏微分方程分析 · 数学 2024-05-22 Matthieu Hillairet , Richard M. Höfer

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…

流体动力学 · 物理学 2016-10-20 B. U. Felderhof

We develop a model of the forces on a spherical particle suspended in flow through a curved duct under the assumption that the particle Reynolds number is small. This extends an asymptotic model of inertial lift force previously developed…

流体动力学 · 物理学 2025-12-19 B. Harding , Y. M. Stokes , A. L. Bertozzi

We present here an inertial active spinning swarm consisting of mixtures of opposite handedness torque driven spinners floating on an air bed with low damping. Depending on the relative spin sign, spinners can act as their own…

软凝聚态物质 · 物理学 2024-09-24 Shengkai Li , Trung V. Phan , Gao Wang , Ramzi R. Khuri , Robert H. Austin , Liyu Liu

We analyze a set of bidirectional wave experiments in a linear wave flume of which some are conducive to integrable turbulence. In all experiments the wavemaker forcing is sinusoidal and the wave motion is recorded by seven high-resolution…

流体动力学 · 物理学 2022-10-11 Ivan Redor , Hervé Michallet , Nicolas Mordant , Eric Barthélemy

We show that, even in the most favorable case, the motion of a small spherical tracer suspended in a fluid of the same density may differ from the corresponding motion of an ideal passive particle. We demonstrate furthermore how its…

混沌动力学 · 物理学 2012-07-24 Armando Babiano , Julyan H. E. Cartwright , Oreste Piro , Antonello Provenzale

Self-propelled particles can exhibit surprising non-equilibrium behaviors, and how they interact with obstacles or boundaries remains an important open problem. Here we show that chemically propelled micro-rods can be captured, with little…

软凝聚态物质 · 物理学 2014-02-21 Daisuke Takagi , Jeremie Palacci , Adam B. Braunschweig , Michael J. Shelley , Jun Zhang

We study the free surface response in a cylindrical container undergoing an elliptic periodic orbit. For small forcing amplitudes and deep liquid layers, we quantify the effect of orbit's aspect ratio onto the surface dynamics in the…

流体动力学 · 物理学 2023-03-07 Alice Marcotte , François Gallaire , Alessandro Bongarzone

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…

流体动力学 · 物理学 2017-04-05 Dario Papavassiliou , Gareth P. Alexander