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Related papers: Hindered stokesian settling of discs and rods

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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…

Analysis of PDEs · Mathematics 2024-05-22 Matthieu Hillairet , Richard M. Höfer

Settling velocity statistics for dilute, non-Brownian suspensions of polydisperse spheres having a log-normal size distribution are analysed by Stokesian Dynamics, as a function of the total volume fraction and width of the size…

Fluid Dynamics · Physics 2024-04-30 Heng Li , Lorenzo Botto

We analyze hindered settling speed versus volume fraction $\phi$ for dispersions of monodisperse spherical particles sedimenting under gravity, using data from 15 different studies drawn from the literature, as well as 12 measurements of…

Soft Condensed Matter · Physics 2023-11-03 T. A. Brzinski , D. J. Durian

A method is provided for approximating random slow manifolds of a class of slow-fast stochastic dynamical systems. Thus approximate, low dimensional, reduced slow systems are obtained analytically in the case of sufficiently large time…

Dynamical Systems · Mathematics 2013-03-12 Jian Ren , Jinqiao Duan , Christopher K. R. T. Jones

The present study investigates the gravity-driven settling dynamics of non-Brownian suspensions of spherical and cubic particles within a triply periodic domain. The effect of solid volume fraction on the evolving microstructure of a…

Fluid Dynamics · Physics 2025-03-27 Dipankar Kundu , Florencio Balboa Usabiaga , Marco Ellero

We present a numerical study of settling and clustering of small inertial particles in homogeneous and isotropic turbulence. Particles are denser than the fluid, but not in the limit of being much heavier than the displaced fluid. At fixed…

Fluid Dynamics · Physics 2022-01-03 Christian Reartes , Pablo D. Mininni

We study the settling of rigid oblates in quiescent fluid using interface-resolved Direct Numerical Simulations. In particular, an immersed boundary method is used to account for the dispersed solid phase together with lubrication…

Fluid Dynamics · Physics 2018-08-01 Walter Fornari , Mehdi Niazi Ardekani , Luca Brandt

The settling velocities of natural, synthetic, and industrial particles were measured in a grid turbulence facility using optical measurement techniques. Particle Image Velocimetry and 2D Particle Tracking were used to measure the…

In this study, we investigate the sedimentation of prolate spheroids in a quiescent fluid by means of the particle-resolved direct numerical simulation. With the increase of the particle volume fraction $\phi$ from $0.1\%$ to $10\%$, we…

Fluid Dynamics · Physics 2024-12-11 Xinyu Jiang , Chunxiao Xu , Lihao Zhao

We study the settling of suspensions of relatively large particles with a diameter of the order of ten Kolmogorov scales and density slightly larger than the carrier fluid in statistically steady homogeneous isotropic turbulence. The…

Fluid Dynamics · Physics 2025-03-11 Francesco Battistaa , Sergio Chibbarob , Paolo Gualtieria

Particles whose shapes couple translation to rotation display a rich array of behaviors as they sediment at low Reynolds number. We introduce a unifying perspective in which the possible dynamical regimes and bifurcations between them can…

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,…

Fluid Dynamics · Physics 2020-09-07 Thomas Hagemeier , Dominique Thévenin , Thomas Richter

Enhancing the local dust-to-gas ratio in protoplanetary discs is a necessary first step to planetesimal formation. In laminar discs, dust settling is an efficient mechanism to raise the dust-to-gas ratio at the disc midplane. However,…

Earth and Planetary Astrophysics · Physics 2019-03-20 Min-Kai Lin

We describe the diffusion and random velocities of solid particles due to stochastic forcing by turbulent gas. We include the orbital dynamics of Keplerian disks, both in-plane epicycles and vertical oscillations. We obtain a new result for…

Astrophysics · Physics 2009-11-13 Andrew N. Youdin , Yoram Lithwick

The rate at which small inertial particles collide with a moderate-Reynolds-number spherical body is found to be strongly affected when the formers are also settling under the effect of gravity. The sedimentation of small particles indeed…

Fluid Dynamics · Physics 2020-09-08 Jeremie Bec , Christoph Siewert , Robin Vallee

The settling behaviour of small inertial particles in turbulent convection is a fundamental problem across several disciplines, from geophysics to metallurgy. In a geophysical context, the settling of dense crystals controls the mode of…

Fluid Dynamics · Physics 2020-11-16 Vojtech Patocka , Enrico Calzavarini , Nicola Tosi

We examine the dynamics of small anisotropic particles (spheroids) sedimenting through homogeneous isotropic turbulence using direct numerical simulations and theory. The gravity-induced inertial torque acting on sub-Kolmogorov spheroids…

Atmospheric and Oceanic Physics · Physics 2020-07-22 Prateek Anand , Samriddhi Sankar Ray , Ganesh Subramanian

Aims. Collections of dust, grains, and planetesimals are often treated as a pressureless fluid. We study the validity of neglecting the pressure of such a fluid by computing it exactly for the case of particles settling in a disk. Methods.…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 F. Hersant

We present a new numerical model to simulate settling trajectories of discretized individual or a mixture of particles of different geometrical shapes in a quiescent fluid and their flow trajectories in a flowing fluid. Simulations unveiled…

Computational Physics · Physics 2020-06-26 Hakan Başağaoğlu , Sauro Succi , Danielle Wyrick , Justin Blount

We investigate the sedimentation of a cloud of rigid, spherical particles of identical radii under gravity in a Stokes fluid. Both inertia and rotation of particles are neglected. We consider the homogenization limit of many small particles…

Analysis of PDEs · Mathematics 2016-10-13 Richard M. Höfer
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