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We develop a theory of various kinds of large-scale clustering of inertial particles in a rotating density stratified or inhomogeneous turbulent fluid flows. The large-scale particle clustering occurs in scales which are much larger than…

Fluid Dynamics · Physics 2025-12-17 Nathan Kleeorin , Igor Rogachevskii

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

The most important characteristics of the fragmentation of heterogeneous solids is that the mass (size) distribution of pieces is described by a power law functional form. The exponent of the distribution displays a high degree of…

Disordered Systems and Neural Networks · Physics 2015-03-10 Gergo Pal , Imre Varga , Ferenc Kun

The aggregation process of fibers suspended in a fluid remains an open question, despite its critical role in numerous natural and industrial processes. This paper presents an experimental setup designed to create fiber aggregates in a…

Fluid Dynamics · Physics 2025-07-09 Gey , Le Gal , Verhille

Conventional approaches for simulating steady-state distributions of particles under diffusive and advective transport at high P\'eclet numbers involve solving the diffusion and advection equations in at least two dimensions. Here, we…

We suggested a theory of clustering of inertial particles advected by a turbulent velocity field caused by an instability of their spatial distribution. The reason of the {\em clustering instability} is a combined effect of the particle…

Chaotic Dynamics · Physics 2007-05-23 Tov Elperin , Nathan Kleeorin , Victor L'vov , Igor Rogachevskii , Dmitry Sokoloff

A theory of clustering of inertial particles advected by a turbulent velocity field caused by an instability of their spatial distribution is suggested. The reason for the clustering instability is a combined effect of the particles inertia…

Chaotic Dynamics · Physics 2007-05-23 Tov Elperin , Nathan Kleeorin , Victor S. L'vov , Igor Rogachevskii , Dmitry Sokoloff

The recent advent of advanced microfabrication capabilities of microfluidic devices has driven attention towards the behavior of particles in inertial flows within microchannels for applications related to the separation and concentration…

Fluid Dynamics · Physics 2018-12-03 Mike Garcia , Sumita Pennathur

We use fractional integrals to generalize the description of hydrodynamic accretion in fractal media. The fractional continuous medium model allows the generalization of the equations of balance of mass density and momentum density. These…

Astrophysics · Physics 2009-08-28 Nirupam Roy

Impact induced attrition processes are, beyond being essential models of industrial ore processing, broadly regarded as the key to decipher the provenance of sedimentary particles. A detailed understanding of single impact phenomena of…

Disordered Systems and Neural Networks · Physics 2021-05-27 Gergo Pal , Gabor Domokos , Ferenc Kun

Processes of coalescence and fragmentation are used to understand the time-evolution of the mass distribution of various systems and may result in a steady state or in stable deterministic or stochastic cycles. Motivated by applications in…

Other Condensed Matter · Physics 2023-10-09 Brennen T. Fagan , Niall J. MacKay , A. Jamie Wood

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

We describe the fractal solid by a special continuous medium model. We propose to describe the fractal solid by a fractional continuous model, where all characteristics and fields are defined everywhere in the volume but they follow some…

Classical Physics · Physics 2015-03-12 Vasily E. Tarasov

We investigate fragmentation processes with a steady input of fragments. We find that the size distribution approaches a stationary form which exhibits a power law divergence in the small size limit, P(x) ~ x^{-3}. This algebraic behavior…

Statistical Mechanics · Physics 2009-10-31 E. Ben-Naim , P. L. Krapivsky

We investigate a model in which an ensemble of chemically identical Brownian particles are continuously growing by condensation and at the same time undergo irreversible aggregation whenever two particles come into contact upon collision.…

Statistical Mechanics · Physics 2011-04-12 M. K. Hassan , M. Z. Hassan

When very small particles are suspended in a fluid in motion, they tend to follow the flow. How such tracer particles are mixed, transported, and dispersed by turbulent flow has been successfully described by statistical models. Heavy…

Fluid Dynamics · Physics 2023-12-21 J. Bec , K. Gustavsson , B. Mehlig

We introduce a new model of aggregation of particles where in addition to diffusion and aggregation upon contact, a single unit of mass can dissociate from a conglomerate. This dissociation move conserves the total mass and leads to a…

Statistical Mechanics · Physics 2008-02-03 Supriya Krishnamurthy , Satya N. Majumdar , Mustansir Barma

Steady-state turbulence is generated in a tank of water and the trajectories of particles forming a compressible system on the surface are tracked in time. The initial uniformly distributed floating particles coagulate and form a fractal…

Fluid Dynamics · Physics 2015-05-20 Jason Larkin , Walter Goldburg , M. M. Bandi

A simple model of irreversible aggregation under differential sedimentation of particles in a fluid is presented. The structure of the aggregates produced by this process is found to feed back on the dynamics in such a way as to stabilise…

Atmospheric and Oceanic Physics · Physics 2009-11-10 C. D. Westbrook , R. C. Ball , P. R. Field , A. J. Heymsfield

We study the fragment size distributions after crushing of single and many particles under uniaxial compression inside a cylindrical container by means of numerical simulations. Under the assumption that breaking goes through the bulk of…

Soft Condensed Matter · Physics 2019-01-16 Pavel S. Iliev , Falk K. Wittel , Hans J. Herrmann