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Related papers: Preferential imbibition in a dual-permeability por…

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Double emulsion formation in a hierarchical flow-focusing channel is systematically investigated using a free energy ternary lattice Boltzmann model. A three dimensional formation regime diagram is constructed based on the capillary numbers…

Soft Condensed Matter · Physics 2020-06-24 Ningning Wang , Ciro Semprebon , Haihu Liu , Chuhua Zhang , Halim Kusumaatmaja

An improved wetting boundary implementation strategy is proposed based on lattice Boltzmann color-gradient model in this paper. In this strategy, an extra interface force condition is demonstrated based on the diffuse interface assumption…

Fluid Dynamics · Physics 2017-07-06 Yuan Yu , Haihu Liu , Yonghao Zhang , Dong Liang

In this work, we investigate the interaction of free and porous media flow by large scale lattice Boltzmann simulations. We study the transport phenomena at the porous interface on multiple scales, i.e., we consider both, computationally…

Computational Engineering, Finance, and Science · Computer Science 2015-07-24 Ehsan Fattahi , Christian Waluga , Barbara Wohlmuth , Ulrich Rüde

In this paper, we show that the permeability of a porous {material} and that of a bubbly fluid are limiting cases of the complexified version of the two-fluid models posed in {Lipton_Avellaneda_1990}. We assume the viscosity of the…

Analysis of PDEs · Mathematics 2022-01-17 Chuan Bi , Miao-jung Yvonne Ou , Shangyou Zhang

Convolutional neural networks (CNN) are utilized to encode the relation between initial configurations of obstacles and three fundamental quantities in porous media: porosity ($\varphi$), permeability $k$, and tortuosity ($T$). The…

Computational Physics · Physics 2022-03-16 Krzysztof M. Graczyk , Maciej Matyka

Direct numerical simulations are presented for a porous media model consisting of two immiscible fluids, an invading and defending phase, in a two-dimensional micro-geometry filled with randomly sized and randomly distributed cylinders.…

Fluid Dynamics · Physics 2020-10-28 Adam O'Brien , Shahriar Afkhami , Markus Bussmann

We describe imbibition in real and artificial plant seeds, using a combination of experiments and theory. In both systems, our experiments demonstrate that liquid permeates the substrate at a rate which decreases gradually over time.…

Forcing hydrophilic fluids through hydrophobic porous solids is a recurrent industrial challenge. If the penetrating fluid is Newtonian, the imposed pressure has to overcome the capillary pressure at the fluid-air interface in a pore. The…

Soft Condensed Matter · Physics 2025-11-04 Manon Bourgade , Nicolas Bain , Loïc Vanel , Mathieu Leocmach , Catherine Barentin

We investigate a new diffuse-interface model that describes creeping two-phase flows (i.e., flows exhibiting a low Reynolds number), especially flows that permeate a porous medium. The system of equations consists of a Brinkman equation for…

Analysis of PDEs · Mathematics 2025-09-15 Pierluigi Colli , Patrik Knopf , Giulio Schimperna , Andrea Signori

Second gradient theories have been developed in mechanics for treating different phenomena as capillarity in fluids, plasticity and friction in granular materials or shear band deformations. Here, there is an attempt of formulating a second…

Classical Physics · Physics 2010-07-22 Giulio Sciarra , Francesco dell'Isola , Olivier Coussy

Membrane pores are implicated in several critical functions, including cell fusion and the transport of signaling molecules for intercellular communication. However, these structural features are often difficult to probe directly. Droplet…

Soft Condensed Matter · Physics 2025-11-13 Nivedina A. Sarma , David A. King , Xuefei Wu , Brett A. Helms , Paul D. Ashby , Thomas P. Russell , Ahmad K. Omar

Based on thermodynamic considerations we derive a set of equations relating the seepage velocities of the fluid components in immiscible and incompressible two-phase flow in porous media. They necessitate the introduction of a new velocity…

Knowledge of the underlying mechanisms of multiphase flow dynamics in porous media is crucial for optimizing subsurface engineering applications like geological carbon sequestration. However, studying the micro-mechanisms of multiphase…

Fluid Dynamics · Physics 2025-08-01 Quanwei Dai , Kang Duan , Chung-Yee Kwok

We revisit the Saffman-Taylor experiment focusing on the forced-imbibition regime where the displacing fluid wets the confining walls. We demonstrate a new class of invasion patterns that do not display the canonical fingering shapes. We…

Soft Condensed Matter · Physics 2015-06-19 Bertrand Levaché , Denis Bartolo

In this work we want to simulate with the Lattice-Boltzmann method in 2D the capillary infiltration into porous structures obtained from the packing of particles. The experimental problem motivating our work is the densification of carbon…

Materials Science · Physics 2016-07-28 Danilo Sergi , Loris Grossi , Tiziano Leidi , Alberto Ortona

We describe the imbibition process from a point source into a homogeneous semi-infinite porous material. When body forces are negligible, the advance of the wetting front is driven by capillary pressure and resisted by viscous forces. With…

Fluid Dynamics · Physics 2012-02-20 Junfeng Xiao , Howard A. Stone , Daniel Attinger

The lattice Boltzmann (LB) method is used to study the kinetics of domain growth of a binary fluid in a number of geometries modeling porous media. Unlike the traditional methods which solve the Cahn-Hilliard equation, the LB method…

comp-gas · Physics 2009-10-22 D. W. Grunau , T. Lookman , S. Y. Chen , A. S. Lapedes

We report the application of machine learning methods for predicting the effective diffusivity (De) of two-dimensional porous media from images of their structures. Pore structures are built using reconstruction methods and represented as…

Geophysics · Physics 2019-12-12 Haiyi Wu , Wen-Zhen Fang , Qinjun Kang , Wen-Quan Tao , Rui Qiao

The electric double layer is an important structure that appears at charged liquid interfaces, and it determines the performance of various electrochemical devices such as supercapacitors and electrokinetic energy converters. Here the…

Soft Condensed Matter · Physics 2023-08-15 Haruto Iwasaki , Yasuyuki Kimura , Yuki Uematsu

We study the permeability and selectivity (`permselectivity') of model membranes made of polydisperse polymer networks for molecular penetrant transport, using coarse-grained, implicit-solvent computer simulations. The permeability…

Soft Condensed Matter · Physics 2020-09-30 Won Kyu Kim , Richard Chudoba , Sebastian Milster , Rafael Roa , Matej Kanduc , Joachim Dzubiella
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