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We present a theoretical study of spontaneous imbibition of liquid 4He in silica aerogels focusing on the effect of porosity on the fluid dynamical behavior. We adopt a coarse-grained three-dimensional lattice-gas description like in…

Disordered Systems and Neural Networks · Physics 2011-03-29 F. Leoni , E. Kierlik , M. L. Rosinberg , G. Tarjus

Recently anomalous scaling properties of front broadening during spontaneous imbibition of water in Vycor glass, a nano-porous medium, were reported: the mean height and the width of the propagating front increase with time $t$ both…

Statistical Mechanics · Physics 2015-06-19 Deok-Sun Lee , Zeinab Sadjadi , Heiko Rieger

Spontaneous imbibition has been receiving much attention due to its significance in many subsurface and industrial applications. Unveiling pore-scale wetting dynamics, and particularly its upscaling to the Darcy scale are still unresolved.…

Soft Condensed Matter · Physics 2022-02-14 Chao-Zhong Qin , Xin Wang , Mahmoud Hefny , Jianlin Zhao , Bo Guo

We present a scaling theory for the long time behavior of spontaneous imbibition in porous media consisting of interconnected pores with a large length-to-width ratio. At pore junctions the meniscus propagation in one or more branches can…

Disordered Systems and Neural Networks · Physics 2013-04-19 Zeinab Sadjadi , Heiko Rieger

During spontaneous imbibition a wetting liquid is drawn into a porous medium by capillary forces. In systems with comparable pore length and diameter, such as paper and sand, the front of the propagating liquid forms a continuous interface.…

Soft Condensed Matter · Physics 2015-06-05 Simon Gruener , Zeinab Sadjadi , Helen E. Hermes , Andrij V. Kityk , Klaus Knorr , Heiko Rieger , Patrick Huber

We report experiments on spontaneous imbibition of a viscous fluid by a model porous medium in the absence of gravity. The average position of the interface satisfies Washburn's law. Scaling of the interface fluctuations provides a dynamic…

Disordered Systems and Neural Networks · Physics 2009-11-10 J. Soriano , A. Mercier , R. Planet , A. Hernandez-Machado , M. A. Rodriguez , J. Ortin

Traditional approaches to mathematically describe spontaneous imbibition are usually based on either macro-scale models, such as Richards equation, or simplified pore-scale models, such as the bundle of capillary tubes (BCTM) or…

Fluid Dynamics · Physics 2024-08-07 Luka Malenica , Zhidong Zhang , Ueli Angst

We revisit the classical problem of liquid imbibition in a single pore with spatially varying wettability. Starting from the Lucas-Washburn equation, we derive analytical solutions for the imbibition time (crossing time) in systems where…

Fluid Dynamics · Physics 2026-01-13 Mathis Fricke , Lisanne Gossel , Joel De Coninck

Imbibition plays a central role in diverse energy, environmental, and industrial processes. In many cases, the medium has multiple parallel strata of different permeabilities; however, how this stratification impacts imbibition is poorly…

A deep understanding of two-phase displacement in porous media with permeability contrast is essential for the design and optimisation of enhanced oil recovery processes. In this paper, we investigate the forced imbibition behaviour in two…

Fluid Dynamics · Physics 2021-07-01 Qingqing Gu , Haihu Liu , Lei Wu

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 study the vortex formation in optical lattices submitted to artificial gauge potentials. We compute the superfluid density for Abelian and non-Abelian gauge potentials with a mean-field approach of the Bose-Hubbard model and we determine…

Mesoscale and Nanoscale Physics · Physics 2007-12-17 N. Goldman

Fluid imbibition into porous media featuring nanopores is ubiquitous in applications such as oil recovery from unconventional reservoirs and material processing. While the imbibition of pure fluids has been extensively studied, the…

Soft Condensed Matter · Physics 2025-09-05 Ejaz Ahmed , Huajie Zhang , Mert Aybar , Bikai Jin , Shihao Wang , Rui Qiao

Wetting of surfaces with porous coating is relevant for a wide variety of technical applications, such as printing technologies and heat transfer enhancement. Imbibition and evaporation of liquids on surfaces covered with porous layers are…

Fluid Dynamics · Physics 2020-09-22 Noemi Ghillani , Michael Heinz , Tatiana Gambaryan-Roisman

Thermodynamics of imbibition (intrusion and extrusion) in capillaries of double conical structures is theoretically studied using the classical capillary model. By extending the knowledge of the thermodynamics of a single conical capillary,…

Soft Condensed Matter · Physics 2023-09-19 Masao Iwamatsu

The propagation and roughening of a fluid-gas interface through a disordered medium in the case of capillary driven spontaneous imbibition is considered. The system is described by a conserved (model B) phase-field model, with the structure…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Dube , M. Rost , K. R. Elder , M. Alava , S. Majaniemi , T. Ala-Nissila

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

The Washburn law has always played a critical role for ceramics. In the microscale, surface forces take over volume forces and the phenomenon of spontaneous infiltration in narrow interstices becomes of particular relevance. The Lattice…

Soft Condensed Matter · Physics 2014-11-19 Danilo Sergi , Loris Grossi , Tiziano Leidi , Alberto Ortona

Liquid bridges are commonly encountered in nature and the liquid transfer induced by their rupture are widely used in various industrial applications. In this work, with the focus on the porous tip, we studied the impacts of capillary…

Fluid Dynamics · Physics 2020-08-25 Si Suo , Yixiang Gan

We establish a comprehensive description of the patterns formed when a wetting liquid displaces a viscous fluid confined in a porous medium. Building on model microfluidic experiments, we evidence four imbibition scenarios all yielding…

Soft Condensed Matter · Physics 2017-11-22 Céleste Odier , Bertrand Levaché , Enrich Santanach-Carreras , Denis Bartolo
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