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Related papers: Effective Rheology of Two-phase Flow in Three-Dime…

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We demonstrate through numerical simulations and a mean field calculation that immiscible two-phase flow in a porous medium behaves effectively as a Bingham viscoplastic fluid. This leads to a generalized Darcy equation where the volumetric…

Fluid Dynamics · Physics 2012-06-06 Santanu Sinha , Alex Hansen

We use confocal microscopy to directly visualize the simultaneous flow of both a wetting and a non-wetting fluid through a model three-dimensional (3D) porous medium. We find that, for small flow rates, both fluids flow through unchanging,…

Soft Condensed Matter · Physics 2014-06-30 Sujit S. Datta , Jean-Baptiste Dupin , David A. Weitz

We study average flow properties in porous media using a two-dimensional network simulator. It models the dynamics of two-phase immiscible bulk flow where film flow can be neglected. The boundary conditions are biperiodic which provide a…

Soft Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Alex Hansen

We investigate the effective rheology of two-phase flow in a bundle of parallel capillary tubes carrying two immiscible fluids under an external pressure drop. The diameter of each tube varies along its length and the corresponding…

Fluid Dynamics · Physics 2019-09-04 Subhadeep Roy , Alex Hansen , Santanu Sinha

It is becoming increasingly clear that there is a regime in immiscible two-phase flow in porous media where the flow rate depends of the pressure drop as a power law with exponent different than one. This occurs when the capillary forces…

Fluid Dynamics · Physics 2023-09-12 Subhadeep Roy , Santanu Sinha , Alex Hansen

Immiscible two-phase flow in porous media with mixed wet conditions was examined using a capillary fiber bundle model, which is analytically solvable, and a dynamic pore network model. The mixed wettability was implemented in the models by…

Fluid Dynamics · Physics 2021-08-31 Hursanay Fyhn , Santanu Sinha , Subhadeep Roy , Alex Hansen

We consider the effective rheology of immiscible two-phase flow in porous media with random mixtures of two types of grains with different wetting properties using a dynamic pore network model under steady-state. Two immiscible fluids A and…

Fluid Dynamics · Physics 2023-06-14 Hursanay Fyhn , Santanu Sinha , Alex Hansen

We present an experimental study of immiscible, two-phase fluid flow through a three-dimensional porous medium consisting of randomly-packed, monodisperse glass spheres. Our experiments combine refractive-index matching and laser-induced…

We investigate the flow of various non-Newtonian fluids through three-dimensional disordered porous media by direct numerical simulation of momentum transport and continuity equations. Remarkably, our results for power-law (PL) fluids…

Fluid Dynamics · Physics 2009-11-09 Apiano F. Morais , Hansjoerg Seybold , Hans J. Herrmann , José S. Andrade

We have simulated the temporal evolution of pressure due to capillary and viscous forces in two-phase drainage in porous media. We analyze our result in light of macroscopic flow equations for two-phase flow. We also investigate the effect…

Fluid Dynamics · Physics 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen

We investigate a two-dimensional network simulator capable of modeling different time dependencies in two-phase drainage displacements. In particular, we focus on the temporal evolution of the pressure due to capillary and viscous forces…

Fluid Dynamics · Physics 2008-02-03 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen , G. George Batrouni

We report a local analysis of the flow of foams in two dimensional heterogeneous model porous media. Pressure measurements are combined with direct observation in order to determine simultaneously the effective viscosity and the fraction of…

Fluid Dynamics · Physics 2020-09-23 A. Mauray , M. Chabert , H. Bodiguel

An outstanding characteristic of porous media, desired in many applications, is the large surface area, which facilitates solid-fluid interactions, making porous media an extreme case in colloid and interface science. In two-fluid systems,…

Fluid Dynamics · Physics 2025-10-23 Steffen Berg , Ryan T. Armstrong , Maja Rücker , Alex Hansen , Signe Kjelstrup , Dick Bedeaux

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

Two-fluid interfaces in porous media, an example of driven disordered systems, were studied by a real time three-dimensional imaging technique with pore scale resolution for a less viscous fluid displacing a more viscous one. With…

Soft Condensed Matter · Physics 2011-03-23 Prerna Sharma , P. Aswathi , Anit Sane , Shankar Ghosh , S. Bhattacharya

We report an approach to fully visualize the flow of two immiscible fluids through a model three-dimensional (3D) porous medium at pore-scale resolution. Using confocal microscopy, we directly image the drainage of the medium by the…

Fluid Dynamics · Physics 2013-01-22 Amber T. Krummel , Sujit S. Datta , Stefan Münster , David A. Weitz

Slow flow of a single fluid through a porous medium is well understood on a macroscopic level through Darcy's law, a linear relation between flow rate and a combination of pressure differences, viscosity, and gravitational forces. Two-phase…

Soft Condensed Matter · Physics 2022-04-12 Joachim Falck Brodin , Marcel Moura , Renaud Toussaint , Knut Jorgen Maloy , Per Arne Rikvold

This study presents a first-principles model to predict the two-phase pressure drop in gas-liquid intermittent flow through round capillaries, which serve as the simplest analogous of a porous medium. Building upon the classical capillary…

Fluid Dynamics · Physics 2025-10-15 Paolo Botticini , Davide Picchi , Santanu Sinha , Alex Hansen

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

Recent X-ray imaging experiments have revealed that multiphase flow through porous media involves transient fluctuations in local occupancy, even under fixed macroscopic steady-state conditions where capillary forces dominate at the pore…

Fluid Dynamics · Physics 2026-05-13 Alexandra Karabasova , Sajjad Foroughi , Martin J. Blunt , Branko Bijeljic
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