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We analyze here in details the probability to find a given number of particles in a finite volume inside a normal or superfluid finite system. This probability, also known as counting statistics, is obtained using projection operator…

Nuclear Theory · Physics 2020-01-22 Denis Lacroix , Sakir Ayik

This study is concerned with the statistics of vertical turbulent channel flow laden with inertial particles for two different volume concentrations ($\Phi_{V} = 3 \times 10^{-6}$ and $\Phi_{V} = 5 \times 10^{-5}$) at a Stokes number of…

Fluid Dynamics · Physics 2019-04-22 Guiquan Wang , Kee Onn Fong , Filippo Coletti , Jesse Capecelatro

Small heavy particles cannot get attracted into a region of closed streamlines in a non-accelerating frame (Sapsis & Haller 2010). In a rotating system, however, particles can get trapped (Angilella 2010) near vortices. We perform numerical…

Fluid Dynamics · Physics 2025-02-12 Saumav Kapoor , Divya Jaganathan , Rama Govindarajan

The dynamics of heavy particles suspended in turbulent flows is of fundamental importance for a wide range of questions in astrophysics, atmospheric physics, oceanography, and technology. Laboratory experiments and numerical simulations…

Fluid Dynamics · Physics 2016-09-21 K. Gustavsson , B. Mehlig

We study the relative velocity of inertial particles suspended in turbulent flows and discuss implications for dust particle collisions in protoplanetary disks. We simulate a weakly compressible turbulent flow, evolving 14 particle species…

Earth and Planetary Astrophysics · Physics 2015-06-15 Liubin Pan , Paolo Padoan

We investigate numerically the dynamics and statistics of inertial particles transported by stratified turbulence, in the case of particle density intermediate in the average density profile of the fluid. In these conditions, particles tend…

Fluid Dynamics · Physics 2018-04-04 Alessandro Sozza , Filippo De Lillo , Guido Boffetta

We use an acoustic Lagrangian tracking technique, particularly adapted to measurements in open flows, and a versatile material particles generator (in the form of soap bubbles with adjustable size and density) to characterize Lagrangian…

Fluid Dynamics · Physics 2009-11-13 Nauman M. Qureshi , Mickael Bourgoin , Christophe Baudet , Alain Cartellier , Yves Gagne

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

In many natural and industrial applications, turbulent flows encompass some form of dispersed particles. Although this type of multiphase turbulent flow is omnipresent, its numerical modeling has proven to be a remarkably challenging…

Fluid Dynamics · Physics 2024-07-02 Xander M. de Wit , Rudie P. J. Kunnen , Herman J. H. Clercx , Federico Toschi

We investigate the effect of inertial particles dispersed in a circular patch of finite radius on the stability of a two-dimensional Rankine vortex in semi-dilute dusty flows. Unlike the particle-free case where no unstable modes exist, we…

Fluid Dynamics · Physics 2022-10-05 Shuai Shuai , Darish Jeswin Dhas , Anubhab Roy , M. Houssem Kasbaoui

In this paper, we consider the physical mechanism for the clustering of inertial particles in the inertial range of isotropic turbulence. We analyze the exact, but unclosed, equation governing the radial distribution function (RDF) and…

Fluid Dynamics · Physics 2015-10-06 Andrew D. Bragg , Peter J. Ireland , Lance R. Collins

We use theory and Direct Numerical Simulations (DNS) to explore the average vertical velocities and spatial distributions of inertial particles settling in a wall-bounded turbulent flow. The theory is based on the exact phase-space equation…

Fluid Dynamics · Physics 2021-06-09 Andrew D Bragg , David H Richter , Guiquan Wang

In this paper we present a new model for modeling the diffusion and relative dispersion of particles in homogeneous isotropic turbulence. We use an Heisenberg-like Hamiltonian to incorporate spatial correlations between fluid particles,…

Fluid Dynamics · Physics 2012-12-18 Thomas Burgener , Dirk Kadau , Hans Jürgen Herrmann

Coagulation driven by supersonic turbulence is primarily an astrophysical problem because coagulation processes on Earth are normally associated with incompressible fluid flows at low Mach numbers, while dust aggregation in the interstellar…

Fluid Dynamics · Physics 2021-04-30 Xiang-Yu Li , Lars Mattsson

We solve the problem of spatial distribution of inertial particles that sediment in turbulent flow with small ratio of acceleration of fluid particles to acceleration of gravity $g$. The particles are driven by linear drag and have…

Fluid Dynamics · Physics 2015-09-30 Itzhak Fouxon , Yongnam Park , Roei Harduf , Changhoon Lee

We study the collision rates and velocities for point-particles of different sizes in turbulent flows. We construct fits for the collision rates at specified velocities (effectively a collisional velocity probability distribution) for…

Earth and Planetary Astrophysics · Physics 2015-06-15 Alexander Hubbard

We study how the spatial distribution of inertial particles evolves with time in a random flow. We describe an explosive appearance of caustics and show how they influence an exponential growth of clusters due to smooth parts of the flow,…

Chaotic Dynamics · Physics 2007-05-23 S. A. Derevyanko , G. Falkovich , K. Turitsyn , S. Turitsyn

We show, by direct numerical simulations, that heavy inertial particles (characterized by Stokes number $\St$) in inhomogeneously forced statistically stationary isothermal turbulent flows cluster at the minima of mean-square turbulent…

Fluid Dynamics · Physics 2018-05-24 Dhrubaditya Mitra , Nils Erland L. Haugen , Igor Rogachevskii

This paper is devoted to a statistical analysis of the fluctuations of velocity and acceleration produced by a random distribution of point vortices in two-dimensional turbulence. We show that the velocity probability density function…

Statistical Mechanics · Physics 2009-10-31 Pierre-Henri Chavanis , Clément Sire

We investigate the behavior of microscopic heavy particles settling in homogeneous air turbulence. The regimes are relevant to the airborne transport of dust and droplets: the Taylor-microscale Reynolds number is Re = 289 - 462, the…

Fluid Dynamics · Physics 2021-05-12 Tim Berk , Filippo Coletti