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We present a control-volume approach for deriving a simplified model for the gravity-driven flow of an axisymmetric liquid film along a vertical fiber. The model accounts for gravitational, viscous, inertial and surface tension effects and…

Fluid Dynamics · Physics 2021-04-14 Y. Ruan , A. Nadim , L. Duvvoori , M. Chugunova

Numerical simulation of particle motion in fluids at low particle Reynolds numbers is often based on empirical force and torque models obtained by fitting force and torque from ab-initio computations for simple particle shapes such as…

Fluid Dynamics · Physics 2026-01-14 L. Sundberg , F. Candelier , N. Fintzi , G. Voth , J. L. Pierson , K. Gustavsson , B. Mehlig

By means of Molecular Dynamics simulations, we investigate the elementary process of avalanches and size segregation by surface flow in 2 dimensions: a single ball confined to moving along an inclined line consisting of balls. The global…

Condensed Matter · Physics 2009-10-28 S. Dippel , G. G. Batrouni , D. E. Wolf

Particle segregation in dense flowing size-disperse granular mixtures is driven by gravity and shear, but predicting the associated segregation force due to both effects has remained an unresolved challenge. Here, a model of the combined…

Soft Condensed Matter · Physics 2024-11-20 Yifei Duan , Lu Jing , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

Resistance force exerted on an obstacle in a gravity-driven slow granular silo flow is studied by experiments and numerical simulations. In a two-dimensional granular silo, an obstacle is placed just above the exit. Then, steady discharge…

Soft Condensed Matter · Physics 2021-12-07 H. Katsuragi , K. Anki Reddy , K. Endo

To gain a better understanding of the surfaces of planets and small bodies in the solar system, the flow behavior of granular material for various gravity levels is of utmost interest. We performed a set of reduced-gravity measurements to…

Earth and Planetary Astrophysics · Physics 2009-07-22 Paul G. Hofmeister , Jürgen Blum , Daniel Heißelmann

The motion of charged particles in weakly varying electromagnetic fields is described using a perturbation method. This provides a systematic and physically transparent description of the particle motion on fast and slow spatio-temporal…

Plasma Physics · Physics 2014-05-15 D. S. Sortland , O. E. Garcia

The purpose of this paper is to examine the Lagrangian stochastic modeling of the fluid velocity seen by inertial particles in a nonhomogeneous turbulent flow. A new Langevin-type model, compatible with the transport equation of the drift…

Fluid Dynamics · Physics 2009-07-01 Boris Arcen , Anne Tanière

We study the filling process of a two-dimensional silo with inelastic particles by simulation of a granular media lattice gas (GMLG) model. We calculate the surface shape and flow profiles for a monodisperse system and we introduce a novel…

Disordered Systems and Neural Networks · Physics 2009-10-31 Antal Károlyi , János Kertész , Shlomo Havlin , Hernán A. Makse , H. Eugene Stanley

We study fluidized granular gases in a stationary state determined by the balance between an external driving and the bulk dissipation. The two considered situations are inspired by recent experiments, where the gravity plays a major role…

Statistical Mechanics · Physics 2009-10-31 A. Baldassarri , U. Marini Bettolo Marconi , A. Puglisi , A. Vulpiani

Turbulence is ubiquitous in nonequilibrium systems, and it has been noted that even dense granular flows exhibit characteristics that are typical of turbulent flow, such as the power-law energy spectrum. However, studies on the…

Soft Condensed Matter · Physics 2023-04-18 Norihiro Oyama , Hideyuki Mizuno , Kuniyasu Saitoh

We derive a hydrodynamic model for the motion of inertial particles with a spherical hard core, interacting through lubrication forces and pairwise repulsive forces. The repulsion arises from the assumption that each particle is surrounded…

Analysis of PDEs · Mathematics 2026-01-21 Aline Lefebvre-Lepot , Muhammed Ali Mehmood , Charlotte Perrin , Ewelina Zatorska

The elasto-inertial effects on particle focusing in a square-tube flow were investigated experimentally and numerically. Microscale experiments using spherical particles in dilute polymer solutions demonstrated that the particles are…

The linear stability of rapid granular flow on a slope under gravity against the longitudinal perturbation is analyzed using hydrodynamic equations. It is demonstrated that the steady flow uniform along the flow direction becomes unstable…

Statistical Mechanics · Physics 2009-11-10 Namiko Mitarai , Hiizu Nakanishi

We use computer simulations to study highly dense systems of granular particles that are driven by oscillating forces. We implement different dissipation mechanisms that are used to extract the injected energy. In particular, the action of…

Soft Condensed Matter · Physics 2016-10-27 Ronny Moebius , Claus Heussinger

Dense granular flows exhibit both surface deformation and secondary flows due to the presence of normal stress differences. Yet, a complete mathematical modelling of these two features is still lacking. This paper focuses on a steady…

Fluid Dynamics · Physics 2025-07-01 C. Gadal , C. G. Johnson , J. M. N. T. Gray

We suggest a simple model for the dynamics of granular particles in suspension which is suitable for an event driven algorithm, allowing to simulate $N=\mathcal{O}(10^6)$ particles or more. As a first application we consider a dense…

Soft Condensed Matter · Physics 2014-06-17 Andrea Fiege , Annette Zippelius

In this paper, we derive reduced models for the motion of gas bubbles in an ambient inviscid liquid, using Hamilton's least action principle. We first explain how to recover from this principle the classical sharp interface model, in which…

Analysis of PDEs · Mathematics 2026-05-13 Cosmin Burtea , David Gérard-Varet

Internally actuated elastic particles are widely used in biomedical applications. It is imperative to understand the dynamics of such particles in pressure-driven microfluidic devices to manipulate their motion. We analytically examine the…

Fluid Dynamics · Physics 2026-03-31 Shashikant Verma , Navaneeth K. Marath

Gravity-driven size segregation is important in mountain streams where a wide range of grain sizes are transported as bedload. More particularly, vertical size segregation is a multi-scale process that originates in interactions at the…

Fluid Dynamics · Physics 2021-04-28 Hugo Rousseau , Rémi Chassagne , Julien Chauchat , Raphael Maurin , Philippe Frey