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We revisit the classical problem of flow of electrolyte solutions through charged capillary nanopores or nanotubes as described by the capillary pore model (also called "space charge" theory). This theory assumes very long and thin pores…

Chemical Physics · Physics 2019-08-16 P. B. Peters , R. van Roij , M. Z. Bazant , P. M. Biesheuvel

We implement a computational periporomechanics model for simulating localized failure in unsaturated porous media. The coupled periporomechanics model is based on the peridynamic state concept and the effective force state concept. The…

Numerical Analysis · Mathematics 2021-07-07 Shashank Menon , Xiaoyu Song

We study numerical methods for solving reactive transport problems in porous media that allow a separation of transport and chemistry at the software level, while keeping a tight numerical coupling between both subsystems. After recalling…

Numerical Analysis · Mathematics 2018-10-12 Laila Amir , Michel Kern

Accurate modeling of diffusive transport of nanoparticles across nanopores is a particularly challenging problem. The reason is that for such narrow pores the large surface-to-volume ratio amplifies the relevance of the nanoscopic details…

Mesoscale and Nanoscale Physics · Physics 2022-11-15 Andreas Baer , Paolo Malgaretti , Malte Kaspereit , Jens Harting , Ana-Suncana Smith

The manipulation and control of microparticles through non-intrusive methods is pivotal in biomedical applications such as cell sorting and cell focusing. Although several experimental and numerical studies have been dedicated to single…

Fluid Dynamics · Physics 2023-12-20 Giancarlo Esposito , Gaetano D'Avino , Massimiliano Maria Villone

We consider the motion of an underdamped Brownian particle in a tilted periodic potential in a wide temperature range. Based on the previous data [1] and the new simulation results we show that the underdamped motion of particles in…

Statistical Mechanics · Physics 2013-07-17 I. G. Marchenko , I. I. Marchenko , A. V. Zhiglo

Recent developments in fabrication techniques enabled the production of nano- and angstrom-scale conduits. While scientists are able to conduct experimental studies to demonstrate extreme evaporation rates from these capillaries,…

Soft Condensed Matter · Physics 2019-03-18 Yigit Akkus , Anil Koklu , Ali Beskok

Fine-tuned ion transport across nanoscale pores is key to many biological processes such as neurotransmission. Recent advances have enabled the confinement of water and ions to two dimensions, unveiling transport properties unreachable at…

Soft Condensed Matter · Physics 2023-01-18 P. Robin , T. Emmerich , A. Ismail , A. Niguès , Y. You , G. -H. Nam , A. Keerthi , A. Siria , A. K. Geim , B. Radha , L. Bocquet

We derive a compositional compressible two-phase, liquid and gas, flow model for numerical simulations of hydrogen migration in deep geological repository for radioactive waste. This model includes capillary effects and the gas high…

Mathematical Physics · Physics 2008-03-03 Alain Bourgeat , Mladen Jurak , Farid Smaï

In this study, we investigate the complexity of two-phase flow (air/water) in a heterogeneous soil sample by using complex network theory, where the supposed porous media is non-deformable media, under the time-dependent gas pressure. Based…

Computational Engineering, Finance, and Science · Computer Science 2010-08-11 Hamed. O. Ghaffari , Mamdou Fall , Erman. Evgin

The paper deals with homogenization of a model problem describing an immiscible compressible two-phase flow in random statistically homogeneous porous media. We derive the effective (macroscopic) problem and prove the convergence of…

Analysis of PDEs · Mathematics 2020-10-13 Brahim Amaziane , Leonid Pankratov , Andrey Piatnitski

Electrical conductivity is one of the most commonly used geophysical method for reservoir and environmental studies. Its main interest lies in its sensitivity to key properties of storage and transport in porous media. Its quantitative use…

Geophysics · Physics 2019-08-29 Luong Duy Thanh , Damien Jougnot , Phan Van Do , Nguyen Van Nghia A

We present an experimental and numerical study of immiscible two-phase flow in 3-dimensional (3D) porous media to find the relationship between the volumetric flow rate ($Q$) and the total pressure difference ($\Delta P$) in the steady…

In this study, we investigate the appeared complexity of two-phase flow (air-water) in a heterogeneous soil where the supposed porous media is non-deformable media which is under the time-dependent gas pressure. After obtaining of governing…

Computational Engineering, Finance, and Science · Computer Science 2010-05-20 Hamed . O. Ghaffari

We use Stokesian Dynamics simulations to study the microscopic motion of particles suspended in fluids passing through porous media. We construct model porous media with fixed spherical particles, and allow mobile ones to move through this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jysoo Lee , Joel Koplik

Kinetic equations for the stationary state distribution function of ions moving through narrow pores are solved for a number of one-dimensional models of single ion transport. Ions move through pores of length $L$, under the action of a…

Soft Condensed Matter · Physics 2009-11-10 Jaroslaw Piasecki , Rosalind J. Allen , Jean-Pierre Hansen

Realistic two-phase flow problems of interest often involve high $Re$ flows with high density ratios. Accurate and robust simulation of such problems requires special treatments. In this work, we present a consistent, energy-conserving…

Fluid Dynamics · Physics 2019-12-24 Shahab Mirjalili , Ali Mani

Imbibition, the displacement of a nonwetting fluid by a wetting fluid, plays a central role in diverse energy, environmental, and industrial processes. While this process is typically studied in homogeneous porous media with uniform…

Fluid Dynamics · Physics 2022-06-07 Nancy B. Lu , Daniel B. Amchin , Sujit S. Datta

In this paper we derive a pore-scale model for permeable biofilm formation in a two-dimensional pore. The pore is divided in two phases: water and biofilm. The biofilm is assumed to consist of four components: water, extracellular polymeric…

In this paper, we propose a robust and efficient numerical framework for simulating multicomponent gas flow in poroelastic media, with a focus on preserving fundamental thermodynamic principles and ensuring computational reliability. The…

Numerical Analysis · Mathematics 2026-03-03 Huangxin Chen , Yuxiang Chen , Jisheng Kou , Shuyu Sun
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