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In this paper we present a constitutive model to describe unsaturated flow that considers the hysteresis phenomena. This constitutive model provides simple mathematical expressions for both saturation and hydraulic conductivity curves, and…

Geophysics · Physics 2017-11-21 Mariangeles Soldi , Luis Guarracino , Damien Jougnot

The excess adsorption $\Gamma $ in two-dimensional Ising strips $(\infty \times L)$ subject to identical boundary fields, at both one-dimensional surfaces decaying in the orthogonal direction $j$ as $-h_1j^{-p}$, is studied for various…

Statistical Mechanics · Physics 2015-05-13 A. Drzewinski , A. Maciolek , A. Barasinski , S. Dietrich

Two-dimensional crystals with angstrom-scale pores are widely considered as candidates for a next generation of molecular separation technologies aiming to provide extreme, exponentially large selectivity combined with high flow rates. No…

In this paper, we review the computational aspects of a multiscale dissipative particle dynamics model for complex fluid simulations based on the feature-rich geometry of the Voronoi tessellation. The geometrical features of the model are…

Soft Condensed Matter · Physics 2009-11-10 G. De Fabritiis , P. V. Coveney

Motivated by the puzzle of sorption hysteresis in Portland cement concrete or cement paste, we develop in Part II of this study a general theory of vapor sorption and desorption from nanoporous solids, which attributes hysteresis to…

Fluid Dynamics · Physics 2015-06-03 Martin Z. Bazant , Zdenek P. Bazant

This paper studies the mechanisms of dispersion in the laminar flow through the pore space of a $3$-dimensional porous medium. We focus on pre-asymptotic transport prior to the asymptotic hydrodynamic dispersion regime, in which solute…

Fluid Dynamics · Physics 2018-03-05 Marco Dentz , Matteo Icardi , Juan J. Hidalgo

We study the influence of wetting on the capillary condensation for a simple fluid in a pore-like geometry, where the reference system is an infinitely long slit. The Corner Transfer Matrix Renormalization Group method has been extended to…

Statistical Mechanics · Physics 2015-06-11 Małgorzata Zubaszewska , Andrej Gendiar , Andrzej Drzewiński

The convergence between effective medium theory and pore-network modelling is examined. Electrical conductance on two and three-dimensional cubic resistor networks is used as an example of transport through composite materials or porous…

Materials Science · Physics 2021-09-17 Jack Edwards , Peter Berg

We use molecular dynamics simulations in two dimensions to investigate the possibility that a core-softened potential can reproduce static and dynamic anomalies found experimentally in liquid water: (i) the increase in specific volume upon…

Soft Condensed Matter · Physics 2009-10-31 A. Scala , M. Reza Sadr-Lahijany , N. Giovambattista , S. V. Buldyrev , H. E. Stanley

The liquid-vapour phase transition near a weakly attractive surface is studied by simulations of the coexistence curves of water in hydrophobic pores. There is a pronounced gradual density depletion of the liquid phase near the surface…

Statistical Mechanics · Physics 2009-11-10 I. Brovchenko , A. Geiger , A. Oleinikova

We prove a fluid limit for the coarsening phase of the condensing zero-range process on a finite number of sites. When time and occupation per site are linearly rescaled by the total number of particles, the evolution of the process is…

Probability · Mathematics 2023-02-14 Inés Armendáriz , Johel Beltrán , Daniela Cuesta , Milton Jara

The fabric of porous and fractured media contains solid regions (grains) and voids. The space conducting fluids is a system of connected voids with variable geometries. Relative to the grain sizes, the voids can be voluminous with three…

Mathematical Physics · Physics 2025-01-16 Changhao Liu , Kiprian Berbatov , Majid Sedighi , Andrey P. Jivkov

This note presents a simulation method for investigating the relationship between porosity and particle size distribution in porous media characterization. The method simulates particle packing based on particle size distributions,…

Soft Condensed Matter · Physics 2024-09-25 Yuhe Wang

A simulation model is presented, comprising elastic spheres with a short range attraction. Besides conservative forces, radial- and shear friction, and radial noise are added. The model can be used to simulate colloids, granular solids and…

Soft Condensed Matter · Physics 2008-11-19 Robert D. Groot , Simeon D. Stoyanov

A computer simulation is used to predict the effects of membrane morphology on the thermal efficiency of direct contact membrane distillation. The mass transfer through the porous microstructure and the heat conduction through the membrane…

Computational Physics · Physics 2019-03-06 Gavin A. Buxton

We study the dynamics of ionic liquids in a thin slit pore geometry. Beginning with the classical and dynamic density functional theories for systems of charged hard spheres, an asymptotic procedure leads to a simplified model which…

Soft Condensed Matter · Physics 2021-10-15 Ruben J. Tomlin , Tribeni Roy , Toby L. Kirk , Monica Marinescu , Dirk Gillespie

Molecular dynamics simulations are used to examine hysteretic effects and distinctions between equilibrium and non-equilibrium aspects of particle adsorption on the walls of nano-sized fluidfilled channels. The force on the particle and the…

Soft Condensed Matter · Physics 2009-11-11 German Drazer , Boris Khusid , Joel Koplik , Andreas Acrivos

Hysteresis in the relation between the capillary pressure and the moisture content in unsaturated porous media, which is due to surface tension at the liquid-gas interface, exhibits strong degeneracy in the resulting mass balance equation.…

Analysis of PDEs · Mathematics 2025-01-07 Chiara Gavioli , Pavel Krejčí

Immiscible fluid displacement in porous media is fundamental for many environmental processes, including infiltration of water in soils, groundwater remediation, enhanced recovery of hydrocarbons and carbon geosequestration. Microstructural…

Fluid Dynamics · Physics 2019-05-22 Oshri Borgman , Thomas Darwent , Enrico Segre , Lucas Goehring , Ran Holtzman

A model accounting for finite spatial dimensions of the deposit patterns in the evaporating sessile drops of colloidal solution on a plane substrate is proposed. The model is based on the assumption that the solute particles occupy finite…

Soft Condensed Matter · Physics 2009-11-10 Yuri O. Popov