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The Enskog-like kinetic approach, recently introduced by us to study strongly inhomogeneous flu- ids, is reconsidered in order to improve the description of the transport coefficients. The approach is based on a separation of the…

Statistical Mechanics · Physics 2013-05-01 Umberto Marini Bettolo Marconi , Simone Melchionna

Direct pore-scale simulations of fluid flow through porous media are computationally expensive to perform for realistic systems. Previous works have demonstrated using the geometry of the microstructure of porous media to predict the…

Fluid Dynamics · Physics 2022-04-13 Xu-Hui Zhou , James E. McClure , Cheng Chen , Heng Xiao

Predicting flows that occur both through and around porous bodies is challenging due to coupled physics across fluid and porous regions and the need to generalize across diverse geometries and boundary conditions. We address this problem…

Machine Learning · Computer Science 2026-02-17 Luigi Ciceri , Corrado Mio , Jianyi Lin , Gabriele Gianini

In this paper, a useful reinterpretation of the city as a porous medium justifies the application of well-known models on fluid dynamics to develop a multi-model study of urban air pollution due to traffic flow in a large city. Thus, to…

Numerical Analysis · Mathematics 2025-02-21 N. Garcia-Chan , L. J. Alvarez-Vazquez , A. Martinez , M. E. Vazquez-Mendez

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

This study introduces an open-source computational framework for the generation and permeability evaluation of synthetic porous media. The proposed methodology integrates crystallographic and meshing tools to construct controlled…

Tissues and Organs · Quantitative Biology 2025-02-21 Thomas Lavigne , Camilo Andrés Suarez Afanador , Anas Obeidat , Stéphane Urcun

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…

The flow of fluids within porous rocks is an important process with numerous applications in Earth sciences. Modeling the compaction-driven fluid flow requires the solution of coupled nonlinear partial differential equations that account…

Geophysics · Physics 2026-03-03 Simon Boisserée , Evangelos Moulas , Markus Bachmayr

In this paper, we introduce a mathematical model to describe the nanoparticles transport carried by a two-phase flow in a porous medium including gravity, capillary forces and Brownian diffusion. Nonlinear iterative IMPES scheme is used to…

Numerical Analysis · Mathematics 2013-10-18 M. F. El-Amin , Jisheng Kou , Shuyu Sun , Amgad Salama

We perform direct numerical simulations (DNS) of a turbulent channel flow over porous walls. In the fluid region the flow is governed by the incompressible Navier--Stokes (NS) equations, while in the porous layers the Volume-Averaged…

Fluid Dynamics · Physics 2023-07-19 Marco E. Rosti , Luca Cortelezzi , Maurizio Quadrio

We propose a method for effectively upscaling incompressible viscous flow in large random polydispersed sphere packings: the emphasis of this method is on the determination of the forces applied on the solid particles by the fluid. Pore…

Soft Condensed Matter · Physics 2015-03-19 B. Chareyre , A. Cortis , E. Catalano , E. Barthélémy

We perform more than 6000 steady-state simulations with a dynamic pore network model, corresponding to a large span in viscosity ratios and capillary numbers. From these simulations, dimensionless quantities such as relative permeabilities,…

Fluid Dynamics · Physics 2019-11-19 Magnus Aa. Gjennestad , Mathias Winkler , Alex Hansen

Fluid flow through bimodal porous media, characterized by a distinct separation in pore size distribution, is critical in various scientific and engineering applications, including groundwater management, oil and gas production, and carbon…

Fluid Dynamics · Physics 2024-09-06 Yuhe Wang , Yating Wang

The Brinkman equation has found great popularity in modelling the interfacial flow between free fluid and a porous medium. However, it is still unclear how to determine an appropriate effective Brinkman viscosity without resolving the flow…

Fluid Dynamics · Physics 2021-06-04 Aidan Rinehart , Uǧis Lācis , Shervin Bagheri

We study the flow of membranal fluid through a ring of immobile particles mimicking, for example, a fence around a membrane corral. We obtain a simple closed-form expression for the permeability coefficient of the ring as a function of the…

Soft Condensed Matter · Physics 2019-04-22 Yulia Sokolov , Haim Diamant

Size, morphology and distributions of pores in organic matters of shale matrix are discussed based on high resolution images from experiments in the literature. 150 nanoscale structures of the organic matters are then reconstructed by…

Fluid Dynamics · Physics 2014-10-09 Li Chen , Qinjun Kang , Lei Zhang , Wenquan Tao

Porous media is widely distributed in nature, found in environments such as soil, rock formations, and plant tissues, and is crucial in applications like subsurface oil and gas extraction, medical drug delivery, and filtration systems.…

Geophysics · Physics 2025-01-03 Qingqi Zhao , Xiaoxue Han , Ruichang Guo , Cheng Chen

In particle-laden flows through porous media, porosity and permeability are significantly affected by the deposition and erosion of particles. Experiments show that the permeability evolution of a porous medium with respect to a particle…

Fluid Dynamics · Physics 2018-01-17 Filippo Bianchi , Falk K. Wittel , Marcel Thielmann , Pavel Trtik , Hans J. Herrmann

Understanding how pore structure influences flow and transport behaviour in granular materials is essential for addressing a wide range of geotechnical, hydraulic, and environmental challenges. These processes are largely shaped by the…

Soft Condensed Matter · Physics 2025-12-01 Jie Qi , Wenbin Fei , Guillermo A. Narsilio

We first highlight theoretically a microfluidic configuration that allows to measure two fundamental parameters describing mass transport through a membrane: the solute permeability coefficient $\mathcal{L}_D$, and the associated reflection…

Soft Condensed Matter · Physics 2025-06-09 Julien Renaudeau , Pierre Lidon , Jean-Baptiste Salmon
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