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Drops on a free-flow/porous-medium-flow interface have a strong influence on the exchange of mass, momentum and energy between the two macroscopic flow regimes. Modeling droplet-related pore-scale processes in a macro-scale context is…

Computational Physics · Physics 2021-03-17 Sina Ackermann , Carina Bringedal , Rainer Helmig

Drainage, in which a nonwetting fluid displaces a wetting fluid from a porous medium, is well-studied for media with unchanging solid surfaces. However, many media can be eroded by drainage, with eroded material redeposited in pores…

In Part II of this study we consider two cases of three-phase coexistence. First, the capped capillary may allow for vapour, drop-like, and slab-like phases to coexist at the same values of temperature and chemical potential. Second, the…

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

We consider a simplified model of a two-phase flow through a heterogeneous porous medium, in which the convection is neglected. This leads to a nonlinear degenerate parabolic problem in a domain shared in an arbitrary finite number of…

Analysis of PDEs · Mathematics 2010-07-26 Clément Cancès , Thierry Gallouet , Alessio Porretta

Two-phase flow systems in porous media have complex dynamics. It is well established that a wide range of system parameters like viscosities and porosity as well as flow parameters such as pressure gradient and fluid saturation have strong…

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

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

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

Detailed understanding of the coupling between fluid flow and solid deformation in porous media is crucial for the development biomedical devices and novel energy technologies relating to a wide range of geological and biological processes.…

Fluid Dynamics · Physics 2021-09-22 Francisco J. Carrillo

We present pore-scale simulations of two-phase flows in a reconstructed fibrous porous layer. The three dimensional microstructure of the material, a fuel cell gas diffusion layer, is acquired via X-ray computed tomography and used as input…

This paper reviews recent research results in two-phase flow in porous media obtained by the authors.

Fluid Dynamics · Physics 2016-09-08 Eyvind Aker , Alex Hansen , Knut Jorgen Maloy

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 review understanding of kinetics of fluid phase separation in various space dimensions. Morphological differences, percolating or disconnected, based on overall composition in a binary liquid or density in a vapor-liquid system, have…

Statistical Mechanics · Physics 2020-06-05 Subir K. Das , Sutapa Roy , Jiarul Midya

Capillary fingering is a displacement process that can occur when a non-wetting fluid displaces a wetting fluid from a homogeneous disordered porous medium. Here, we investigate how this process is influenced by a pore size gradient. Using…

Soft Condensed Matter · Physics 2022-06-07 Nancy B. Lu , Christopher A. Browne , Daniel B. Amchin , Janine K. Nunes , Sujit S. Datta

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

We study single-phase flow in a fractured porous medium at a macroscopic scale that allows to model fractures individually. The flow is governed by Darcy's law in both fractures and porous matrix. We derive a new mixed-dimensional model,…

Numerical Analysis · Mathematics 2023-08-08 Samuel Burbulla , Maximilian Hörl , Christian Rohde

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 study low-Reynolds-number fluid flow through a two-dimensional porous medium modeled as a Lorentz gas. Using extensive finite element simulations we fully resolve the flow fields for packing fractions approaching the percolation…

Fluid Dynamics · Physics 2024-05-22 Mirko Residori , Suvendu Mandal , Axel Voigt , Christina Kurzthaler

Various biological and chemical processes lead to the nucleation and growth of non-wetting fluid bubbles within the pore space of a granular medium, such as the formation of gas bubbles in liquid-saturated lake-bed sediments. In…

Soft Condensed Matter · Physics 2022-05-13 Oliver W. Paulin , Liam C. Morrow , Matthew G. Hennessy , Christopher W. MacMinn

We study non-equilibrium analogues of surface phase transitions in a minimal model of active particles in contact with a purely repulsive potential barrier that mimics a thin porous membrane. Under conditions of bulk motility-induced phase…

Statistical Mechanics · Physics 2021-12-15 Francesco Turci , Nigel B. Wilding

The established macroscopic equations of motion for two phase immiscible displacement in porous media are known to be physically incomplete because they do not contain the surface tension and surface areas governing capillary phenomena.…

Materials Science · Physics 2009-10-31 R. Hilfer