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Turbulent suspensions of heavy particles in incompressible flows have gained much attention in recent years. A large amount of work focused on the impact that the inertia and the dissipative dynamics of the particles have on their dynamical…

Chaotic Dynamics · Physics 2009-11-13 Jeremie Bec , Massimo Cencini , Rafaela Hillerbrand , Konstantin Turitsyn

We demonstrate the use of the Lorentz reciprocal theorem in obtaining corrections to the steady flow rate due to flow oscillations in rigid channels. Starting from the unsteady Stokes equations, we derive the suitable reciprocity relation,…

Fluid Dynamics · Physics 2025-12-17 Shrihari D. Pande , Evgeniy Boyko , Ivan C. Christov

The dynamics of particles attached to an interface separating two immiscible fluids are encountered in a wide variety of applications. Here we present a combined asymptotic and numerical investigation of the fluid motion past spherical…

Fluid Dynamics · Physics 2022-07-11 Zhi Zhou , Petia M. Vlahovska , Michael J. Miksis

We study the dynamics of inertial particles in turbulence using datasets obtained from both direct numerical simulations and laboratory experiments of turbulent swirling flows. By analyzing time series of particle velocity increments at…

We consider a dilute gas of inertial particles transported by the turbulent flow. Due to inertia the particles concentrate preferentially outside vortices. The pair-correlation function of the particles' concentration is known to obey at…

Chaotic Dynamics · Physics 2012-01-16 Itzhak Fouxon

To understand the process of pattern formation in a low-density granular flow, we propose a simple particle model. This model considers spherical particles moving over an inclined flat surface based on three forces: gravity as the driving…

Soft Condensed Matter · Physics 2019-04-24 Hirofumi Niiya , Akinori Awazu , Hiraku Nishimori

Understanding the dynamics of material objects advected by turbulent flows is a long standing question in fluid dynamics. In this perspective article we focus on the characterization of the statistical properties of non-interacting…

Fluid Dynamics · Physics 2024-03-18 Yaning Fan , Cheng Wang , Linfeng Jiang , Chao Sun , Enrico Calzavarini

We discuss the relation between three recent approaches of describing the dynamics and the spatial distribution of particles suspended in turbulent flows: phase-space singularities in the inertial particle dynamics (caustics), real-space…

Fluid Dynamics · Physics 2015-06-05 K. Gustavsson , E. Meneguz , M. Reeks , B. Mehlig

The behavior of a non-spherical particle in a viscous, plane channel flow is studied by means of a combination of analytical technique and geometrical reasoning. An efficient implementation of Lamb's general solution is adopted, allowing…

chao-dyn · Physics 2007-05-23 Piero Olla

We study the hydrodynamic coupling between particles and solid, rough boundaries characterized by random surface textures. Using the Lorentz reciprocal theorem, we derive analytical expressions for the grand mobility tensor of a spherical…

Fluid Dynamics · Physics 2020-08-27 Christina Kurzthaler , Lailai Zhu , Amir A. Pahlavan , Howard A. Stone

We have studied the gravity driven flow of spherical shaped, millimetric sized granular material coated with aspherical, micron-sized, near frictionless lubricant particles. Experiments were performed on an inclined plane using two…

Soft Condensed Matter · Physics 2022-10-24 Ravindra S. Ghodake , Pankaj Doshi , Ashish V. Orpe

This study examines the motion of spherical inertial particles in a three-dimensional rotating cylindrical vortex - a simplified model of geophysical flow structures such as oceanic eddies. The analytical vortex formulation enables the…

Fluid Dynamics · Physics 2025-06-12 Orr Avni , Alok Kumar , Yuval Dagan

The interaction acoustic radiation force in a standing plane wave applied to each small solid sphere in a two-particle system immersed in a viscoelastic fluid is studied in a framework based on perturbation theory. In this work, the first-…

Fluid Dynamics · Physics 2023-03-29 Fateme Eslami , Hossein Hamzehpour , Sanaz Derikvandi , S. Amir Bahrani

We construct a boundary integral representation for the low-Reynolds-number flow in a channel in the presence of freely-suspended particles (or droplets) of arbitrary size and shape. We demonstrate that lubrication theory holds away from…

Fluid Dynamics · Physics 2018-01-17 Itzhak Fouxon , Zhouyang Ge , Luca Brandt , Alexander Leshansky

Finite-size impurities suspended in incompressible flows distribute inhomogeneously, leading to a drastic enhancement of collisions. A description of the dynamics in the full position-velocity phase space is essential to understand the…

Chaotic Dynamics · Physics 2009-11-10 J. Bec , A. Celani , M. Cencini , S. Musacchio

We investigate the formation and stability of a pair of identical soft capsules in channel flow under mild inertia. We employ a combination of the lattice Boltzmann, finite element and immersed boundary methods to simulate the elastic…

Fluid Dynamics · Physics 2022-03-09 Benjamin Owen , Timm Krueger

We consider advection of small inertial particles by a random fluid flow with a strong steady shear component. It is known that inertial particles suspended in a random flow can exhibit clusterization even if the flow is incompressible. We…

Chaotic Dynamics · Physics 2013-05-30 Grigory A. Sizov

A novel mechanism for the transport of microscale particles in viscous fluids is demonstrated. The mechanism exploits the trapping of such particles by rotational streaming cells established in the vicinity of an oscillating cylinder,…

Fluid Dynamics · Physics 2016-01-13 Kwitae Chong , Scott D. Kelly , Stuart T. Smith , Jeff D. Eldredge

We present a versatile perturbative calculation scheme to determine the mobility matrix for two and more particles in a low Reynolds number fluid with spatially variant viscosity. Assuming an asymptotic non-constant viscosity perturbation…

Fluid Dynamics · Physics 2022-06-29 Sebastian Ziegler , Ana-Sunčana Smith

We study the dynamics of few interacting bosons in a one-dimensional lattice with dc bias. In the absence of interactions the system displays single particle Bloch oscillations. For strong interaction the Bloch oscillation regime reemerges…

Other Condensed Matter · Physics 2015-05-18 Ramaz Khomeriki , Dmitry O. Krimer , Masudul Haque , Sergej Flach