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We have established in a pilot study, that the spreading of liquids in sandy porous materials at low levels of saturation, typically less than ten percent of the available void space, has very distinctive features in comparison to that at…

Soft Condensed Matter · Physics 2018-12-13 Alex V. Lukyanov , Vladimir Mitkin , Theo G. Theofanous , Mike Baines

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

The flow of deformable particles, such as droplets, dragged by a fluid, through a network of narrow pores inside rocks or other porous media is key in a range of applications, from enhanced oil recovery and water filtration to lab on a chip…

We investigate the equilibrium morphology of a finite volume of liquid placed on two parallel rigid fibers of different radii. As observed for identical radii fibers, the liquid is either in a column morphology or adopts a drop shape…

Soft Condensed Matter · Physics 2015-04-23 Alban Sauret , François Boulogne , David Cébron , Emilie Dressaire , Howard A. Stone

Active fluid droplets surrounded by oil can spontaneously develop circulatory flows. However, the dynamics of the surrounding oil and their influence on the active fluid remain poorly understood. To investigate interactions between the…

Fluid Dynamics · Physics 2021-05-27 Yen-Chen Chen , Brock Jolicoeur , Chih-Che Chueh , Kun-Ta Wu

Ternary interactions between hetero-fluid particles, particularly the dynamics of droplets spreading over curved fluid interfaces remain insufficiently understood compared to the two-phase coalescence. In this study, we combine lattice…

We present an experimental and numerical study of immiscible two-phase flow in 3-dimensional (3D) porous media to find the relationship between the volumetric flow rate ($Q$) and the total pressure difference ($\Delta P$) in the steady…

We study the low temperature phase equilibria of a fluid confined in an open capillary slit formed by two parallel walls separated by a distance $L$ which are in contact with a reservoir of gas. The top wall of the capillary is of finite…

Soft Condensed Matter · Physics 2021-11-10 Alexandr Malijevský , Andrew O. Parry

Liquids in nanoscale hydrophilic pores generate capillary pressures so large that they could theoretically climb kilometers against gravity. However, droplets on thin nanoporous layers form imbibition fronts stopping at millimeters or less…

Soft Condensed Matter · Physics 2026-01-16 Joachim Trosseille , Hugo Bellezza , Olivier Vincent

Chemically active colloids generate changes in the chemical composition of their surrounding solution and thereby induce flows in the ambient fluid which affect their dynamical evolution. Here we study the many-body dynamics of a monolayer…

Soft Condensed Matter · Physics 2016-06-28 Alvaro Domínguez , P. Malgaretti , M. N. Popescu , S. Dietrich

We investigate two-phase flow in porous media and derive a two-scale model, which incorporates pore-scale phase distribution and surface tension into the effective behavior at the larger Darcy scale. The free-boundary problem at the pore…

Analysis of PDEs · Mathematics 2023-07-03 Mathis Kelm , Carina Bringedal , Bernd Flemisch

Transport of fluid through a pipe is essential for the operation of macroscale machines and microfluidic devices. Conventional fluids only flow in response to external pressure. We demonstrate that an active isotropic fluid, comprised of…

We study immiscible two-phase flow of a compressible and an incompressible fluid inside a capillary tube of varying radius under steady-state conditions. The incompressible fluid is Newtonian and the compressible fluid is an inviscid ideal…

Fluid Dynamics · Physics 2022-07-22 Hyejeong L. Cheon , Hursanay Fyhn , Alex Hansen , Øivind Wilhelmsen , Santanu Sinha

The breakup dynamics of a capillary bridge on a hydrophobic stripe between two hydrophilic stripes is studied experimentally and numerically using direct numerical simulations. The capillary bridge is formed from an evaporating water…

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

It is well-known that wettability exerts fundamental control over multiphase flow in porous media, which has been extensively studied in uniform-wet porous media. In contrast, multiphase flow in porous media with heterogeneous wettability…

Soft Condensed Matter · Physics 2022-07-12 Ashkan Irannezhad , Bauyrzhan K. Primkulov , Ruben Juanes , Benzhong Zhao

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

We calculate the average volumetric flux versus pressure drop of bubbles moving in a single capillary tube with varying diameter, finding a square-root relation from mapping the flow equations onto that of a driven overdamped pendulum. The…

Fluid Dynamics · Physics 2013-08-09 Santanu Sinha , Alex Hansen , Dick Bedeaux , Signe Kjelstrup

We present measurements on the spontaneous imbibition (capillary rise) of water, a linear hydrocarbon (n-C16H34) and a liquid crystal (8OCB) into the pore space of monolithic, nanoporous Vycor glass (mean pore radius 5 nm). Measurements on…

Fluid Dynamics · Physics 2007-05-23 Patrick Huber , Klaus Knorr , Andriy V. Kityk

The dynamics of membrane undulations inside a viscous solvent is governed by distinctive, anomalous, power laws. Inside a viscoelastic continuous medium these universal behaviors are modified by the specific bulk viscoelastic spectrum. Yet,…

Soft Condensed Matter · Physics 2018-02-20 Rony Granek , Haim Diamant