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We present a general framework to study the distribution of the flux through the origin up to time $t$, in a non-interacting one-dimensional system of particles with a step initial condition with a fixed density $\rho$ of particles to the…

Statistical Mechanics · Physics 2020-05-06 Tirthankar Banerjee , Satya N. Majumdar , Alberto Rosso , Gregory Schehr

The influence of clustering on the collision rate of inertial particles in a smooth random velocity field, mimicking the smaller scales of a turbulent flow, is analyzed. For small values of the the ratio between the relaxation time of the…

Statistical Mechanics · Physics 2009-11-13 Piero Olla

We consider inertial particles suspended in an incompressible turbulent flow. Due to inertia of particles, their velocity field acquires small compressible component. Its presence leads to a new qualitative effect --- possibility of…

chao-dyn · Physics 2007-05-23 E. Balkovsky , G. Falkovich , A. Fouxon

The mean radial component of relative velocity (MRV) between pairs of inertial particles is studied, where the particles are advected by turbulent flow and undergo collision-and-coagulation. A previously proposed phenomenological model of…

Fluid Dynamics · Physics 2024-03-25 Xiaohui Meng , Ewe-Wei Saw

When cloud particles are small enough, they move with the turbulent air in the cloud. On the other hand, as particles become larger their inertia affects their motions, and they move differently than the air. These inertial dynamics impact…

Other Condensed Matter · Physics 2014-01-10 Gregory P. Bewley , Ewe Wei Saw , Eberhard Bodenschatz

We consider transport of passive particles in steady laminar plane flows of incompressible viscous fluids. While drifting along the streamlines, the particles experience alternating accelerations and slowdowns. For an ensemble of particles,…

Fluid Dynamics · Physics 2025-10-02 Michael A. Zaks , Alexander Nepomnyashchy

The motion of weakly inertial Brownian particles, transported by steady two-dimensional fluid flows, is investigated by means of asymptotic methods. We focus on the phenomenon of noise-induced separatrix crossing, which can force particles…

Fluid Dynamics · Physics 2019-05-08 Jean-Régis Angilella

We study the typical collisional velocities in a polydisperse suspension of droplets in two and three-dimensional turbulent flow and obtain precise theoretical estimates of the dependence of the impact velocity of particles-pairs on their…

Fluid Dynamics · Physics 2016-03-21 Martin James , Samriddhi Sankar Ray

The incorporation of particle inertia into the usual mean field theory for particle aggregation and fragmentation in fluid flows is still an unsolved problem. We therefore suggest an alternative approach that is based on the dynamics of…

Fluid Dynamics · Physics 2011-03-08 Jens C. Zahnow , Joeran Maerz , Ulrike Feudel

The streaming instability, as an example of instabilities driven by particle feedback on a gas flow, has been proven to have a major role in controlling the formation of planetesimals. Here, we present experiments to approach this situation…

Earth and Planetary Astrophysics · Physics 2019-02-08 Niclas Schneider , Gerhard Wurm , Jens Teiser , Hubert Klahr , Vincent Carpenter

A flowing pair of particles in inertial microfluidics gives important insights into understanding and controlling the collective dynamics of particles like cells or droplets in microfluidic devices. They are applied in medical cell analysis…

Fluid Dynamics · Physics 2018-05-25 Christian Schaaf , Felix Rühle , Holger Stark

A statistically stationary turbulence with a mean shear gradient is realized in a flow driven by suitable body forces. The flow domain is periodic in downstream and spanwise directions and bounded by stress free surfaces in the normal…

Chaotic Dynamics · Physics 2009-10-31 Joerg Schumacher , Bruno Eckhardt

We study the motion of small inertial particles in stratified turbulence. We derive a simplified model, valid within the Boussinesq approximation, for the dynamics of small particles in presence of a mean linear density profile. By means of…

Fluid Dynamics · Physics 2015-09-14 A. Sozza , F. De Lillo , S. Musacchio , G. Boffetta

Particles with density different from that of the advecting turbulent fluid cluster due to the different response of light/heavy particles to turbulent fluctuations. This study focuses on the quantitative characterization of the segregation…

Chaotic Dynamics · Physics 2008-08-28 Enrico Calzavarini , Massimo Cencini , Detlef Lohse , Federico Toschi

We study the turbulent flow of the density-stratified fluid around a small translating (either passively or self-propelled) particle. It was found recently [A. M. Ardekani and R. Stocker, Phys. Rev. Lett. vol. 105, 084502 (2010)] that…

Fluid Dynamics · Physics 2014-11-26 Itzhak Fouxon , Alexander Leshansky

The phenomenon of turbulent thermal diffusion in temperature-stratified turbulence causing a non-diffusive turbulent flux of inertial and non-inertial particles in the direction of the turbulent heat flux is found using direct numerical…

Solar and Stellar Astrophysics · Physics 2012-11-28 N. E. L. Haugen , N. Kleeorin , I. Rogachevskii , A. Brandenburg

We investigate the linear stability of a flat interface that separates a liquid layer from a fully-developed turbulent gas flow. In this context, linear-stability analysis involves the study of the dynamics of a small-amplitude wave on the…

Fluid Dynamics · Physics 2009-08-13 L. Ó Náraigh , P. Spelt , O. Matar , T. Zaki

We investigate the spatial distribution of inertial particles suspended in the bulk of a turbulent inhomogeneous flow. By means of direct numerical simulations of particle trajectories transported by the turbulent Kolmogorov flow, we study…

Fluid Dynamics · Physics 2016-03-23 Filippo De Lillo , Massimo Cencini , Stefano Musacchio , Guido Boffetta

Dynamics of the particle phase in a particle laden turbulent flow is highly influenced by the fluctuating velocity and vorticity field of the fluid phase. The present work mainly focuses on exploring the possibility of applying a Langevin…

Fluid Dynamics · Physics 2021-06-08 Swagnik Ghosh , Partha Sarathi Goswami

The clustering of small heavy inertial particles subjected to Stokes drag in turbulence is known to be minimal at small and large Stokes number and substantial at $\rm St = \mathcal O(1)$. This non-monotonic trend, which has been shown…

Fluid Dynamics · Physics 2020-08-19 Mahdi Esmaily-Moghadam , Ali Mani