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The classical approach to diffusion processes is based on Fick's law that the flux is proportional to the concentration gradient. Various phenomena occurring during propagation of penetrating liquids in polymers show that this type of…

Analysis of PDEs · Mathematics 2010-12-10 Dmitry A. Vorotnikov

Deformable bubbles propagated by the flow of a viscous liquid in a planar Hele-Shaw channel of uniform depth tend to travel steadily along the channel's streamwise axis and pairs of neighbouring bubbles will either separate or coalesce…

Fluid Dynamics · Physics 2024-03-01 Jack Lawless , Jack S. Keeler , Andrew L. Hazel , Anne Juel

The effect of charge on the dynamics of a gas bubble undergoing forced oscillations in a liquid due to incidence of an ultrasonic wave is theoretically investigated. The limiting values of the possible charge a bubble may physically carry…

Chaotic Dynamics · Physics 2015-06-15 Thotreithem Hongray , B. Ashok , J. Balakrishnan

Flowing granular materials segregate due to differences in particle size (driven by percolation) and density (driven by buoyancy). Modelling the segregation of mixtures of large/heavy particles and small/light particles is challenging due…

Soft Condensed Matter · Physics 2021-05-18 Yifei Duan , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

The buoyancy-driven motion of a deformable bubble rising near a vertical hydrophilic wall is studied numerically. We focus on moderately inertial regimes in which the bubble undergoes low-to-moderate deformations and would rise in a…

Fluid Dynamics · Physics 2025-01-16 Pengyu Shi , Jie Zhang , Jacques Magnaudet

In the usual segregation scenario for stable inclined chute flows of bidisperse mixtures of fine and coarse spherical particles, coarse particles rise toward the free surface, forming a coarse-rich region atop the flowing pile. Beyond a…

The amount of nebular gas that a planet can bind is limited by its cooling rate, which is set by the opacity of its envelope. Accreting dust and pebbles contribute to the envelope opacity and, thus, influence the outcome of planet…

Earth and Planetary Astrophysics · Physics 2021-09-15 M. G. Brouwers , C. W. Ormel , A. Bonsor , A. Vazan

We consider a model problem of the scattering of linear acoustic waves in free homogeneous space by an elastic solid. The stress tensor in the solid combines the effect of a linear dependence of strains with the influence of an existing…

Numerical Analysis · Mathematics 2018-04-23 Thomas S. Brown , Tonatiuh Sánchez-Vizuet , Francisco-Javier Sayas

Context. The classical "planetesimal" accretion scenario for the formation of planets has recently evolved with the idea that "pebbles", centimeter- to meter-sized icy grains migrating in protoplanetary disks, can control planetesimal…

Earth and Planetary Astrophysics · Physics 2016-06-22 Shigeru Ida , Tristan Guillot , Alessandro Morbidelli

A vibrational model of transport properties of dense fluids assumes that solid-like oscillations of atoms around their temporary equilibrium positions dominate the dynamical picture. The temporary equilibrium positions of atoms do not form…

Soft Condensed Matter · Physics 2024-01-09 Sergey Khrapak

Pebble accretion has become a popular component to core accretion models of planet formation, and is especially relevant to the formation of compact, resonant terrestrial planetary systems. Pebbles initially form in the inner protoplanetary…

Earth and Planetary Astrophysics · Physics 2019-03-06 Duncan H Forgan

Gas bubble transport through highly porous transport layers (PTLs) is a key process in electrochemical devices such as proton exchange membrane water electrolyzers, where bubbles generated at catalyst surfaces must migrate through complex…

Soft Condensed Matter · Physics 2026-03-31 J. M. P. Beunen , T. Lappan , P. Malgaretti , O. Aouane , K. Eckert , J. Harting

This study theoretically considers the motion of N identical inelastic particles between two oscillating walls. The particles' average energy increases abruptly at certain critical filling fractions, wherein the system changes into a…

Data Analysis, Statistics and Probability · Physics 2011-01-31 Fei Fang Chung , Sy-Sang Liaw , Wei Chun Chang

We present results from an extensive experimental investigation into granular segregation of a shallow binary mixture in which particles are driven by frictional interactions with the surface of a vibrating horizontal tray. Three distinct…

Soft Condensed Matter · Physics 2009-11-11 Pedro M. Reis , Tim Sykes , Tom Mullin

We investigate axial segregation of binary mixtures in a laterally shaken horizontal channel formed by ratchet-like sidewalls that appear as concatenated trapeziums when not offset axially. Grain mixtures shaken in such a channel are…

Soft Condensed Matter · Physics 2022-10-18 Mohammed Istafaul Haque Ansari , Ashish Bhateja , Ishan Sharma

We have studied the early time evolution of granular segregation patterns in a horizontal rotating cylinder partially filled with a sand/salt mixture. The growth of concentration fluctuations starting from premixed initial conditions was…

patt-sol · Physics 2009-10-31 Kiam Choo , Michael W. Baker , T. C. A. Molteno , Stephen W. Morris

Wall channeling is a phenomena of interest for Pebble Bed Reactors (PBRs) where flow is diverted into high-porosity regions near the wall. This diversion of flow can have a significant impact on maximum fuel temperatures and core bypass…

Fluid Dynamics · Physics 2023-08-10 David Reger , Elia Merzari , Saya Lee , Paolo Balestra , Yassin Hassan

Viscous dissipation, as a small perturbative effect about the Bondi flow, shrinks its sonic sphere. An Eulerian perturbation on the steady flow gives a wave equation and the corresponding dispersion relation. The perturbation is a…

High Energy Astrophysical Phenomena · Physics 2020-12-25 Arnab K. Ray

Predicting particle segregation has remained challenging due to the lack of a general model for the segregation velocity that is applicable across a range of granular flow geometries. Here, a segregation velocity model for dense granular…

Soft Condensed Matter · Physics 2025-10-22 Yifei Duan , Lu Jing , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

We revisit the computation of bubble wall friction during a cosmological first-order phase transition, using an extended fluid Ansatz to solve the linearized Boltzmann equation. A singularity is found in the fluctuations of background…

High Energy Physics - Phenomenology · Physics 2022-04-13 Glauber C. Dorsch , Stephan J. Huber , Thomas Konstandin
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