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We present in detail a set of algorithms to carry out fluid displacements in a dynamic pore-network model of immiscible two-phase flow in porous media. The algorithms are general and applicable to regular and irregular pore networks in two…

Fluid Dynamics · Physics 2019-07-31 Santanu Sinha , Magnus Aa. Gjennestad , Morten Vassvik , Alex Hansen

This work investigates the capillary rise dynamics of highly wetting liquids in a divergent U-tube in the microgravity conditions provided by 78th European Space Agency (ESA) parabolic flight. This configuration produces a capillary-driven…

Fluid Dynamics · Physics 2024-04-26 Domenico Fiorini , Alessia Simonini , Johan Steelant , David Seveno , Miguel A. Mendez

We numerically study confined channel foam flow around an obstacle using a two-dimensional bubble model, inspired by experiments performed in the same geometry. We systematically vary the polydispersity, the external driving force, and the…

Soft Condensed Matter · Physics 2026-03-24 Bahaa Mazloum , Alexandre Stepanetz , Benjamin Dollet , Misaki Ozawa

We investigate the behavior of drainage displacements in heterogeneous porous media finding a transition from viscous fingering to foam-like region. A pore network model incorporating the formation of blobs is adopted to study this…

Soft Condensed Matter · Physics 2023-07-26 Federico Lanza , Santanu Sinha , Alex Hansen , Alberto Rosso , Laurent Talon

Fluidisation is the process by which the weight of a bed of particles is supported by a gas flow passing through it from below. When fluidised materials flow down an incline, the dynamics of the motion differ from their non-fluidised…

Fluid Dynamics · Physics 2017-10-11 D. E. Jessop , A. J. Hogg , M. A. Gilbertson , C. Schoof

This study investigates the coupled deformation and flow behavior of thin, hyper-elastic, porous membranes subjected to pressure loading. Using bulge test experiments, optical deformation measurements, and flow rate characterization, we…

Fluid Dynamics · Physics 2026-01-19 Alexander Gehrke , Zoe King , Kenneth S. Breuer

We study the stability of multi-layer radial flows in porous media within the Hele-Shaw model. We perform a linear stability analysis for radial flows consisting of an arbitrary number of fluid layers with interfaces separating fluids of…

Fluid Dynamics · Physics 2018-11-28 Craig Gin , Prabir Daripa

Sub-resolution porosity (SRP) is an ubiquitous, yet often ignored, feature in Digital Rock Physics. It embodies the trade-off between image resolution and field-of-view, and it is a direct result of choosing an imaging resolution that is…

Fluid Dynamics · Physics 2022-03-02 Francisco J. Carrillo , Cyprien Soulaine , Ian C. Bourg

The motion of a gas-liquid interface along a solid wall is influenced by the capillary forces resulting from the interface's shape and its interaction with the solid, where it forms a dynamic contact angle. Capillary models play a…

We study a one dimensional model for two-phase flows in heterogeneous media, in which the capillary pressure functions can be discontinuous with respect to space. We first give a model, leading to a system of degenerated non-linear…

Analysis of PDEs · Mathematics 2009-09-08 Clément Cancès

The immiscible displacement of a fluid by another one inside a porous medium produces different types of patterns depending on the capillary number Ca and viscosity ratio M. At high Ca, viscous fingers resulting from the viscous instability…

Fluid Dynamics · Physics 2023-12-25 Santanu Sinha , Yves Méheust , Hursanay Fyhn , Subhadeep Roy , Alex Hansen

Gas-liquid flows through packed bed reactors (PBRs) are challenging to predict due to the tortuous flow paths that fluid interfaces must traverse. Experiments at the International Space Station showed that bubble and pulse flows are…

Fluid Dynamics · Physics 2024-03-21 Pranay P. Nagrani , Amy M. Marconnet , Ivan C. Christov

The streaming instability is thought to play a central role in the early stages of planet formation by enabling the efficient bypass of a number of barriers hindering the formation of planetesimals. We present the first study exploring the…

Earth and Planetary Astrophysics · Physics 2019-06-19 Leonardo Krapp , Pablo Benítez-Llambay , Oliver Gressel , Martin E. Pessah

The streaming instability, a promising mechanism to drive planetesimal formation in dusty protoplanetary discs, relies on aerodynamic drag naturally induced by the background radial pressure gradient. This gradient should vary in disks, but…

Earth and Planetary Astrophysics · Physics 2026-03-09 Stanley A. Baronett , Chao-Chin Yang , Zhaohuan Zhu

A wide range of natural and engineered fluid flows exhibit spatial or temporal viscosity variations, spanning scales from microbial locomotion to planetary mantle convection. These variations introduce qualitatively new physical mechanisms…

Fluid Dynamics · Physics 2025-08-01 Arjun Sharma , Ritabrata Thakur , Sharath Jose , Rama Govindarajan

Modeling effective transport properties of 3D porous media, such as permeability, at multiple scales is challenging as a result of the combined complexity of the pore structures and fluid physics - in particular, confinement effects which…

Diverse chemical, energy, environmental, and industrial processes involve the flow of polymer solutions in porous media. The accumulation and dissipation of elastic stresses as the polymers are transported through the tortuous, confined…

Fluid Dynamics · Physics 2024-07-02 Emily Y. Chen , Sujit S. Datta

Transport of liquid mixtures through porous membranes is central to processes such as desalination, chemical separations and energy harvesting, with ultrathin membranes made from novel 2D nanomaterials showing exceptional promise. Here we…

Soft Condensed Matter · Physics 2019-08-06 Daniel J. Rankin , Lydéric Bocquet , David M. Huang

Instabilities of fluid-fluid interfaces are ubiquitous in passive soft matter. Adding activity to the interface or either fluid can dramatically change the stability of the interface. Using experiment and theory, we investigate the…

Soft Condensed Matter · Physics 2026-02-04 Bennett C. Sessa , Federico Cao , Robert A. Pelcovits , Thomas R. Powers , Guillaume Duclos

Understanding processes in porous media is fundamental to a broad spectrum of environmental, energy, and geoscience applications. These processes include multiphase fluid transport, interfacial dynamics, reactive transformations, and…

Fluid Dynamics · Physics 2025-10-08 Na Liu , Jakub Wiktor Both , Geir Ersland , Jan Martin Nordbotten , Martin Fernø
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