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When a capillary channel with corners is wetted by a fluid, there are regions where the fluid fills the whole cross-section and regions where only the corners are filled by the fluid. The fluid fraction of the partially-filled region,…

Soft Condensed Matter · Physics 2022-05-18 Tian Yu , Qicheng Sun , Chen Zhao , Jiajia Zhou , Masao Doi

We study viscous fingering during drainage experiments in linear Hele-Shaw cells filled with a random porous medium. The central zone of the cell is found to be statistically more occupied than the average, and to have a lateral width of…

Soft Condensed Matter · Physics 2009-11-11 Renaud Toussaint , Grunde Løvoll , Yves Méheust , Knut Jørgen Måløy , Jean Schmittbuhl

There are two distinct regimes commonly used to model traveling waves in stratified water: continuous stratification, where the density is smooth throughout the fluid, and layer-wise continuous stratification, where the fluid consists of…

Analysis of PDEs · Mathematics 2016-01-27 Robin Ming Chen , Samuel Walsh

In this paper, we experimentally quantify and analytically model rate dependent capillary heterogeneity trapping. Capillary heterogeneity trapping enhances non-wetting fluid trapping beyond pore-scale residual trapping through the isolation…

Fluid Dynamics · Physics 2025-11-10 Catrin Harris , Samuel Krevor , Ann H. Muggeridge , Samuel J. Jackson

We consider the release and subsequent gravity-driven spreading of a finite volume of fluid in an anisotropic porous medium bounded by an impermeable substrate. When the permeability in the vertical direction is much smaller than the…

Fluid Dynamics · Physics 2023-04-24 GP Benham

We develop a novel `moving capacitor' dynamic network model to simulate immiscible fluid-fluid displacement in porous media. Traditional network models approximate the pore geometry as a network of fixed resistors, directly analogous to an…

Stably stratified fluids subject to sustained forcing are known to develop step-like density "staircases", where nearly homogeneous layers alternate with thin interfaces of strong stratification. However, long-time numerical investigations…

Fluid Dynamics · Physics 2025-12-10 Niccolo Cocciaglia , Fabio Bonaccorso , Alessandra Sabina Lanotte , Luca Biferale

We consider a porous solid covered with a water film (or with a drop) in situations where the liquid is pumped in, either spontaneously (if the porous medium is hydrophilic) or mechanically (by an external pump). The dynamics of dewetting…

Soft Condensed Matter · Physics 2009-10-31 A. Aradian , E. Raphael , P. G. de Gennes

In recent years, Darcy scale transport in porous media was characterized to be Fickian or non-Fickian due to the homogeneity or heterogeneity of the porous medium conductivity layout. Yet, evidence shows that preferential flows that funnel…

Geophysics · Physics 2022-10-13 Avioz Dagan , Yaniv Edery

Capillary energy barriers have important consequences for immiscible fluid flow in porous media. We derive time-and-space averaging theory to account for non-equilibrium behavior and understand the role of athermal capillary fluctuations in…

Fluid Dynamics · Physics 2021-09-01 James E. McClure , Steffen Berg , Ryan T. Armstrong

Density stratification in geophysical environments can be non-uniform, particularly in thermohaline staircases and atmospheric layer transitions. Non-uniform stratification, however, is often approximated by the average ambient density…

Fluid Dynamics · Physics 2020-11-10 G. D. Portwood , S. M. de Bruyn Kops

Using a dynamical density functional theory we analyze the density profile of a colloidal liquid near a wall under shear flow. Due to the symmetries of the system considered, the naive application of dynamical density functional theory does…

Soft Condensed Matter · Physics 2015-05-20 J. M. Brader , M. Krüger

Many key environmental, industrial, and energy processes rely on controlling fluid transport within subsurface porous media. These media are typically structurally heterogeneous, often with vertically-layered strata of distinct…

Fluid Dynamics · Physics 2022-07-13 Christopher A. Browne , Richard B. Huang , Callie W. Zheng , Sujit S. Datta

We investigate clogging in depth filtration, in which a dirty fluid is ``cleaned'' by the trapping of dirt particles within the pore space during flow through a porous medium. This leads to a gradient percolation process which exhibits a…

Statistical Mechanics · Physics 2009-10-31 S. Datta , S. Redner

In this two-part study we investigate the phase behaviour of a fluid spatially confined in a semi-infinite rectangular pore formed by three orthogonal walls and connected to a reservoir maintaining constant values of pressure and…

Soft Condensed Matter · Physics 2013-09-23 P. Yatsyshin , N. Savva , S. Kalliadasis

Based on the concepts of the mechanics of unsaturated soils where capillary phenomena arise between the wetting fluid (water) and the non-wetting one (air), the subsidence of chalks containing oil (non-wetting fluid) during water injection…

Geophysics · Physics 2008-12-18 Pierre Delage , Christian Schroeder , Yu Jun Cui

We investigated experimentally stably stratified turbulent flows in a lid driven cavity with a non-zero vertical mean temperature gradient in order to identify the parameters governing the mean and turbulent flows and to understand their…

Fluid Dynamics · Physics 2014-11-19 N. Cohen , A. Eidelman , T. Elperin , N. Kleeorin , I. Rogachevskii

The study of flow of non-Newtonian fluids in porous media is very important and serves a wide variety of practical applications in processes such as enhanced oil recovery from underground reservoirs, filtration of polymer solutions and soil…

Fluid Dynamics · Physics 2010-12-20 Taha Sochi

When reactive fluids flow through a dissolving porous medium, conductive channels form, leading to fluid breakthrough. This phenomenon is important in geologic carbon storage, where the dissolution of CO2 in water increases the acidity and…

Geophysics · Physics 2017-06-22 Yi Yang , Stefan Bruns , Susan Stipp , Henning Sørensen

An object withdrawn from a liquid bath is coated with a thin layer of liquid. Along with the liquid, impurities such as particles present in the bath can be transferred to the withdrawn substrate. Entrained particles locally modify the…

Soft Condensed Matter · Physics 2020-11-30 Alban Sauret , Adrien Gans , Benedicte Colnet , Guillaume Saingier , Martin Z. Bazant , Emilie Dressaire
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