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Flow in porous media is difficult to address using standard analytical or numerical methods due to its complexity. However, since synthetic representations of porous media are easy to produce and data from physical experiments are becoming…

Detailed understanding of the coupling between fluid flow and solid deformation in porous media is crucial for the development biomedical devices and novel energy technologies relating to a wide range of geological and biological processes.…

Fluid Dynamics · Physics 2021-09-22 Francisco J. Carrillo

Recent advances in nano-rheology require that new methods and models be developed to describe the equilibrium and non-equilibrium properties of entangled polymeric materials and their interfaces at a molecular level of detail. In this work…

Soft Condensed Matter · Physics 2022-11-11 Ludwig Schneider , Juan de Pablo

A three-dimensional Multiphysics Lattice Discrete Particle Model (M-LDPM) framework is formulated to investigate the fracture permeability behavior of shale. The framework features a dual lattice system mimicking the mesostructure of the…

Geophysics · Physics 2019-02-12 Weixin Li , Xinwei Zhou , J. William Carey , Luke P. Frash , Gianluca Cusatis

In this work, we derive a new model for immiscible two-layer gas-liquid stratified flows in pipes with general cross sections. The bottom layer is occupied by an incompressible fluid in liquid phase with hydrodynamics based on a hydrostatic…

Computational Physics · Physics 2026-02-16 Sarswati Shah , Gerardo Hernández-Dueñas

Bundle-of-tubes model was previously used to understand the flow behaviour in a porous medium. The interacting nature of the pores within a porous medium can be well depicted by an interacting capillary model. However, the arrangement of…

Fluid Dynamics · Physics 2020-12-22 Shabina Ashraf , Yves Méheust , Jyoti Phirani

Understanding transport subject to molecular-scale confinement is key to advancing nanofluidics, yet classical hydrodynamic laws often fail at these scales. Here, we study a model system: transport of toluene as a solvent and small…

Soft Condensed Matter · Physics 2025-06-12 A. Baer , P. Malgaretti , K. Hoellring , J. Harting , Ana-Suncana Smith

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

Liquid marbles refer to liquid droplets that are covered with a layer of non-wetting particles. They are observed in nature and have practical significance. However, a generalized framework for analyzing liquid marbles as they inflate or…

Materials Science · Physics 2021-02-15 Adair Gallo , Fernanda Tavares , Ratul Das , Himanshu Mishra

Displacement experiments carried out in microfluidic porous media analogs show that reduced surface tension leads to a more stable displacement, opposite to the process in Hele-Shaw cells where surface tension stabilizes the displacement of…

Fluid Dynamics · Physics 2012-10-17 Wei Xu , Jeong Tae Ok , Keith Neeves , Xiaolong Yin

Porous materials -- natural or engineered -- often exhibit dual pore-network structures that govern processes such as mineral exploration and hydrocarbon recovery from tight shales. Double porosity/permeability (DPP) mathematical models…

Numerical Analysis · Mathematics 2026-03-23 V. S. Maduri , K. B. Nakshatrala

We study the fluid inclusion of both Lennard-Jones particles and particles with competing interaction ranges --short range attractive and long range repulsive (SALR)-- in a disordered porous medium constructed as a controlled pore glass in…

Disordered Systems and Neural Networks · Physics 2015-06-22 Enrique Lomba , Cecilia Bores , Gerhard Kahl

The thermodynamic, dynamic and structural behavior of a water-like system confined in a matrix is analyzed for increasing confining geometries. The liquid is modeled by a two dimensional associating lattice gas model that exhibits density…

Statistical Mechanics · Physics 2015-04-20 A. P. Furlan , Carlos E. Fiore , M. C. Barbosa

A stable added-mass partitioned (AMP) algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and compressible elastic solids. Deforming composite grids are used to effectively handle the…

Numerical Analysis · Mathematics 2019-10-23 Daniel A. Serino , Jeffrey W. Banks , William D. Henshaw , Donald W. Schwendeman

We develop a theory for the description of ionic liquids (ILs) confined in a porous medium formed by a matrix of immobile randomly placed uncharged particles. The IL is modelled as an electroneutral mixture of hardsphere anions and flexible…

Soft Condensed Matter · Physics 2024-07-03 T. Hvozd , T. Patsahan , Yu. Kalyuzhnyi , O. Patsahan , M. Holovko

Effective water management is essential for the optimal performance of PEM fuel cells. We have developed an impedance model for liquid water transport through the membrane and coupled it with the two-phase model for cathode side impedance.…

Chemical Physics · Physics 2026-01-16 Andrei Kulikovsky , Tatyana Reshetenko

Non-equilibrium molecular dynamics (NEMD) simulations of fluid flow have highlighted the peculiarities of nanoscale flows compared to classical fluid mechanics; in particular, boundary conditions can deviate from the no-slip behavior at…

Soft Condensed Matter · Physics 2025-03-11 Giorgia Marcelli , Tecla Bottinelli Montandon , Roya Ebrahimi Viand , Felix Höfling

Fluid transport in porous materials is commonly studied in geological samples (soil, sediments etc.) or idealized systems, but the fluid flow through compacted granular materials, consisting of substantially strained granules, remains…

Soft Condensed Matter · Physics 2019-02-13 Pawel Gniewek , Oskar Hallatschek

A novel thermodynamically consistent diffuse interface model is derived for compressible electrolytes with phase transitions. The fluid mixtures may consist of N constituents with the phases liquid and vapor, where both phases may coexist.…

Analysis of PDEs · Mathematics 2014-11-13 Wolfgang Dreyer , Jan Giesselmann , Christiane Kraus

Immiscible fluid displacement in porous media occurs in several natural and industrial processes. For example, during petroleum extraction from porous rock reservoirs, water is used to displace oil. In this paper, we investigate primary…

Fluid Dynamics · Physics 2022-02-03 M. Sedahmed , R. C. V. Coelho , H. A. Warda