scholarly journals Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres

2020 ◽  
Vol 2020 (3) ◽  
pp. 034002
Author(s):  
J Javier Brey ◽  
P Maynar ◽  
M I García de Soria
Keyword(s):  
Kinetic Model ◽  
Hard Spheres ◽  
Two Dimensional

Two-dimensional thermo-kinetic model for the olivine-spinel phase transition in subducting slabs

1996 ◽  
Vol 94 (3-4) ◽  
pp. 217-239 ◽  
Author(s):  
Rolf Däßler ◽  
Dave A. Yuen ◽  
Shun-ichiro Karato ◽  
Michael R. Riedel
Keyword(s):  
Phase Transition ◽  
Kinetic Model ◽  
Spinel Phase ◽  
Two Dimensional

A two‐dimensional kinetic model of the scrape‐off layer

1994 ◽  
Vol 1 (6) ◽  
pp. 1882-1889 ◽  
Author(s):  
Peter J. Catto ◽  
R. D. Hazeltine
Keyword(s):  
Kinetic Model ◽  
Two Dimensional

scholarly journals Description of the Adsorption Equilibrium with Consideration to the Decreasing Availability of Space in the Course of Mobile Adsorption of a Single Gas on a Homogenous Surface of Solid

2018 ◽  
Vol 64 (3) ◽  
pp. 25-38
Author(s):  
Jerzy K. Garbacz ◽  
Ewa Kopkowska ◽  
Barbara Rymian
Keyword(s):  
Gas Adsorption ◽  
Hard Spheres ◽  
Two Dimensional ◽  
Two Phase ◽  
Solid Adsorbent ◽  
Proposed Model ◽  
Adsorption Monolayer ◽  
Mobile Adsorption ◽  
The Given ◽  
Component Adsorption

Abstract The subsequent stages of the process of formulation of the equation for gas adsorption on a homogenous surface of a solid adsorbent were presented based on the general expression for the canonical ensemble of the mobile single-component adsorption monolayer. The method of formulating the configuration integral of the proposed model was discussed in detail where the role both of the attraction and repulsion between adsorbed molecules was emphasised. The expression for the probability of finding a molecule in a specified point on a surface of an adsorbent was modified by determining its magnitude by the adsorbent concentration. The expression for the so-called effective surface of the adsorbent was obtained by adapting a two-dimensional analogue equation of state hard spheres – Van der Waals equation (2D-vdW) and Reis-Frisch-Lebowitz equation accordingly (2D-RFL). As a result, two new adsorption equations were formulated which differ in detail concerning the adsorbate-adsorbate repulsion. On each of these equations theoretical analysis was performed in terms of two-dimensional phase transformation. In both cases it was proved that the proposed solution allows for the presence of two-phase transformations of the first type which is the gas-liquid condensation and solidification liquid-solid. The verification of the given approach was supplemented by the description of the experimental data given in reference literature and by obtaining a very good correlation between the theory and experiment.

scholarly journals Discharge of soft and hard grains and their mixtures from 2D silos

2021 ◽  
Vol 249 ◽  
pp. 03002
Author(s):  
Jing Wang ◽  
Kirsten Harth ◽  
Ralf Stannarius ◽  
Bo Fan ◽  
Tamás Börzsönyi
Keyword(s):  
Hard Spheres ◽  
Gradual Transition ◽  
Soft Particle ◽  
Two Dimensional ◽  
Hard Particles ◽  
Soft Spheres ◽  
Particle Ensemble

The outflow characteristics of hard grains from containers with narrow basal openings have been extensively studied. Recently, it was shown that soft, low-frictional grains can behave qualitatively different from the behavior of rigid grains. We compare experimentally the discharge of monodisperse hard spheres, soft spheres and mixtures of both from a quasi-two dimensional (2D) silo. The experiments demonstrate the remarkable consequences of the addition of few hard particles to a soft particle ensemble, as well as the gradual transition between the two limiting cases of pure one-component materials.

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