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We consider systems of particles coupled with fluids. The particles are described by the evolution of their density, and the fluid is described by the Navier-Stokes equations. The particles add stress to the fluid and the fluid carries and…

Analysis of PDEs · Mathematics 2009-11-11 Peter Constantin , Charles Fefferman , Edriss Titi , Arghir Zarnescu

This study investigates the spatial distribution of inertial particles in turbulent Taylor-Couette flow. Direct numerical simulations are performed using a one-way coupled Eulerian-Lagrangian approach, with a fixed inner wall Reynolds…

Fluid Dynamics · Physics 2024-02-28 Hao Jiang , Zhi-ming Lu , Bo-fu Wang , Xiao-hui Meng , Jie Shen , Kai Leong Chong

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…

Fluid Dynamics · Physics 2021-10-04 Evgeny S. Asmolov , Tatiana V. Nizkaya , Jens Harting , Olga I. Vinogradova

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

Soft Condensed Matter · Physics 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

We consider a sheared granular system experiencing intermittent dynamics of stick-slip type via discrete element simulations. The considered setup consists of a two-dimensional system of soft frictional particles sandwiched between solid…

Soft Condensed Matter · Physics 2023-05-24 Philip Bretz , Lou Kondic , Miro Kramar

We study the spatial patterns formed by interacting biological populations or reacting chemicals under the influence of chaotic flows. Multiple species and nonlinear interactions are explicitly considered, as well as cases of smooth and…

Chaotic Dynamics · Physics 2009-11-07 Emilio Hernandez-Garcia , Cristobal Lopez , Zoltan Neufeld

The probability distribution for multiple collisions observed in the chaotic low energy domain in the bouncing ball model is shown to be scaling invariant concerning the control parameters. The model considers the dynamics of a bouncing…

Chaotic Dynamics · Physics 2024-11-27 Edson D. Leonel , Diego F. M. Oliveira

Statistical aspects of the dynamics of chaotic scattering in the classical model of $\alpha$-cluster nuclei are studied. It is found that the dynamics governed by hyperbolic instabilities which results in an exponential decay of the…

Nuclear Theory · Physics 2009-09-25 S. Drożdż , J. Okołowicz , T. Srokowski , A. Budzanowski

For 3D geometries, we consider stones (modeled as convex polyhedra) subject to weathering with planar slices of random orientation and depth successively removing material, ultimately yielding smooth and round (i.e. spherical) shapes. An…

Statistical Mechanics · Physics 2020-03-10 D. J. Priour

The alignment, ordering and rotation of elongated granular particles was studied in shear flow. The time evolution of the orientation of a large number of particles was monitored in laboratory experiments by particle tracking using optical…

It is shown that preferential concentrations of inertial (finite-size) particle suspensions in turbulent flows follow from the dissipative nature of their dynamics. In phase space, particle trajectories converge toward a dynamical fractal…

Chaotic Dynamics · Physics 2009-11-10 Jeremie Bec

Finding a quantitative description of the rate of collisions between small particles suspended in mixing flows is a long-standing problem. Here we investigate the validity of a parameterisation of the collision rate for identical particles…

Fluid Dynamics · Physics 2016-06-01 K. Gustavsson , B. Mehlig

Gas-solid multiphase flows are prone to develop an instability known as clustering. Two-fluid models, which treat the particulate phase as a continuum, are known to reproduce the qualitative features of this instability, producing…

Chaotic Dynamics · Physics 2017-03-23 William D. Fullmer , Christine M. Hrenya

We study segregation and stratification of mixtures of grains differing in size, shape and material properties poured in two-dimensional silos using a microscopic lattice model for surface flows of grains. The model incorporates the…

Statistical Mechanics · Physics 2009-10-31 Hernan A. Makse , Hans J. Herrmann

Steady laminar flows through porous media spontaneously generate Lagrangian chaos at pore scale, with qualitative implications for a range of transport, reactive and biological processes. The characterization and understanding of mixing…

Fluid Dynamics · Physics 2021-01-27 Heyman J. , Lester D. , Le Borgne T

Understanding the phase behavior of mixtures with many components is important in many contexts, including as a key step toward a physics-based description of intracellular compartmentalization. Here, we study the instabilities of a mixture…

Statistical Mechanics · Physics 2023-08-16 Filipe C Thewes , Matthias Krüger , Peter Sollich

Remarkably persistent mixing and non-mixing regions (islands) are observed to coexist in a three-dimensional dynamical system where randomness is expected. The track of an x-ray opaque particle in a spherical shell half-filled with dry…

Soft Condensed Matter · Physics 2018-09-05 Zafir Zaman , Mengqi Yu , Paul P. Park , Julio M. Ottino , Richard M. Lueptow , Paul B. Umbanhowar

We study the instability of a dusty simple shear flow where the dust particles are distributed non-uniformly. A simple shear flow is modally stable to infinitesimal perturbations. Also, a band of particles remains unaffected in the absence…

Fluid Dynamics · Physics 2024-05-10 Anu V. S. Nath , Anubhab Roy , M. Houssem Kasbaoui

We investigate a mechanism of the appearance of kinetic friction in granular materials. We consider a small number of intervening inelastic particles between two rough surfaces as one of the simplest dynamical models to study granular…

Soft Condensed Matter · Physics 2015-05-14 Hidetsugu Sakaguchi

We study the random walk of a particle in a compartmentalized environment, as realized in biological samples or solid state compounds. Each compartment is characterized by its length $L$ and the boundaries transmittance $T$. We identify two…

Statistical Mechanics · Physics 2019-03-12 Gorka Muñoz-Gil , Miguel Angel García-March , Carlo Manzo , Alessio Celi , Maciej Lewenstein