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Two-scale models pose a promising approach in simulating reactive flow and transport in evolving porous media. Classically, homogenized flow and transport equations are solved on the macroscopic scale, while effective parameters are…

Analysis of PDEs · Mathematics 2022-02-01 Stephan Gärttner , Peter Knabner , Nadja Ray

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 study the interaction-induced migration of bubbles in shear flow and observe that bubbles suspended in elastoviscoplastic emulsions organise into chains aligned in the flow direction, similarly to particles in viscoelastic fluids. To…

Soft Condensed Matter · Physics 2023-04-25 Blandine Feneuil , Kazi Tassawar Iqbal , Atle Jensen , Luca Brandt , Outi Tammisola , Andreas Carlson

The simulation of fluid flow in real, multiscale porous media remains challenging due to the complexity of nanoscale phenomena and the difficulty of developing upscaling methodologies. In this study, we introduce a multiscale filtration…

Fluid Dynamics · Physics 2026-05-13 Irina Nesterova , Rustem Sirazov , Aleksey Khlyupin

Direct numerical simulations are used to elucidate the interplay of wettability and fluid viscosities on immiscible fluid displacements in a heterogeneous porous medium.We classify the flow regimes based using qualitative and quantitative…

We report and discuss, by means of pore-scale numerical simulations, the possibility of achieving a directional-dependent two-phase flow behaviour during the process of invasion of a viscous fluid into anisotropic porous media with…

Fluid Dynamics · Physics 2021-10-27 Dario Maggiolo , Francesco Picano , Federico Toschi

The Phase-Field Method (PFM) is employed to simulate two-phase flows with the fully-coupled Cahn-Hilliard-Navier-Stokes (CHNS) equations governing the temporal evolution. The methodology minimizes the total energy functional, accounting for…

Multi-component fluid flow simulations in multi-scale porous structures often involve regions that are under-resolved at practical computational resolutions. Accurately capturing the contributions from these unresolved regions is critical.…

Many physical situations are characterized by interfaces with a non trivial shape so that relevant geometric features, such as interfacial area, curvature or unit normal vector, can be used as main indicators of the topology of the…

Fluid Dynamics · Physics 2023-10-03 Giuseppe Orlando , Paolo Francesco Barbante , Luca Bonaventura

Electrocapillary-driven two-phase flows in a confined configuration of a classical experiment of Melcher and Taylor are studied. The computed streamlines of the flow of the heavier dielectric liquid (corn oil) qualitatively represents the…

Fluid Dynamics · Physics 2023-11-27 Alexander Yu. Gelfgat Gerrit Maik Horstmann

Transport of viscous fluid through porous media is a direct consequence of the pore structure. Here we investigate transport through a specific class of two-dimensional porous geometries, namely those formed by fluid-mechanical erosion. We…

Fluid Dynamics · Physics 2020-05-20 Shang-Huan Chiu , M. N. J. Moore , Bryan D. Quaife

Three-dimensional, time-dependent direct simulations of step emulsification micro-devices highlight two essential mechanisms for droplet formation: first, the onset of an adverse pressure gradient driving a back-flow of the continuous phase…

Computational Physics · Physics 2020-06-22 Andrea Montessori , Marco Lauricella , Sauro Succi , Elad Stolovicki , David A. Weitz

We present a Markov Chain Monte Carlo algorithm based on the Metropolis algorithm for simulation of the flow of two immiscible fluids in a porous medium under macroscopic steady-state conditions using a dynamical pore network model that…

Fluid Dynamics · Physics 2016-12-20 Isha Savani , Santanu Sinha , Alex Hansen , Dick Bedeaux , Signe Kjelstrup , Morten Vassvik

Detailed understanding of two-phase gas liquid flows is imperative for developing efficient multi-phase reactors through precise control of mixing and reaction kinetics. The bubble column is a good apparatus for elementary studies of such…

Fluid Dynamics · Physics 2013-10-14 Sharad Chand Ravinuthala , Ismail Celik

Because of its key role in feedback in star formation and galaxy formation, we examine the nature of the interaction of a flow with discrete sources of mass injection. We show the results of two-dimensional numerical simulations in which we…

Astrophysics · Physics 2009-11-11 J. M. Pittard , J. E. Dyson , S. A. E. G. Falle , T. W. Hartquist

The flow of immiscible fluids inside a porous medium shows non-linearity in the form of a power law in the rheological properties of the fluids under steady state flow conditions. However, different experimental and numerical studies have…

Fluid Dynamics · Physics 2021-05-17 Subhadeep Roy , Santanu Sinha , Alex Hansen

Imbibition, the displacement of a nonwetting fluid by a wetting fluid, plays a central role in diverse energy, environmental, and industrial processes. While this process is typically studied in homogeneous porous media with uniform…

Fluid Dynamics · Physics 2022-06-07 Nancy B. Lu , Daniel B. Amchin , Sujit S. Datta

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

We investigate the burst dynamics during drainage going from low to high injection rate at various fluid viscosities. The bursts are identified as pressure drops in the pressure signal across the system. We find that the statistical…

Soft Condensed Matter · Physics 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen , Soumen Basak

Knowledge of the underlying mechanisms of multiphase flow dynamics in porous media is crucial for optimizing subsurface engineering applications like geological carbon sequestration. However, studying the micro-mechanisms of multiphase…

Fluid Dynamics · Physics 2025-08-01 Quanwei Dai , Kang Duan , Chung-Yee Kwok