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Two-phase surfactant-laden flow and transport in porous media are central to many natural and engineering applications. Surfactants alter two-phase flow by modifying interfacial tension and wettability, while two-phase flow controls…

Fluid Dynamics · Physics 2026-02-02 Sidian Chen , Bo Guo , Tianyuan Zheng

A new upscaling procedure that provides 1D representations of 2D mixing-limited reactive transport systems is developed and applied. A key complication with upscaled models in this setting is that the procedure must differentiate between…

Fluid Dynamics · Physics 2022-10-05 Ricardo H. Deucher , Louis J. Durlofsky

The flow of incompressible fluids through porous media plays a crucial role in many technological applications such as enhanced oil recovery and geological carbon-dioxide sequestration. The flow within numerous natural and synthetic porous…

Computational Engineering, Finance, and Science · Computer Science 2018-05-23 S. H. S. Joodat , K. B. Nakshatrala , R. Ballarini

We analyse the process of convective mixing in two-dimensional, homogeneous and isotropic porous media with dispersion. We considered a Rayleigh-Taylor instability in which the presence of a solute produces density differences driving the…

Fluid Dynamics · Physics 2025-10-08 Marco De Paoli , Guru Sreevanshu Yerragolam , Roberto Verzicco , Detlef Lohse

Most biochemical reactions in living cells rely on diffusive search for target molecules or regions in a heterogeneous overcrowded cytoplasmic medium. Rapid re-arrangements of the medium constantly change the effective diffusivity felt…

Statistical Mechanics · Physics 2019-11-13 Yann Lanoiselée , Nicolas Moutal , Denis S. Grebenkov

This paper reviews theories, experimental data, and modeling methods for pre-Darcy flow in low-permeability porous media, where Darcy velocity shows nonlinear dependence on pressure gradients at sufficiently low pressures, a deviation from…

Geophysics · Physics 2024-01-11 Yuntian Teng , Zihao Li , Cheng Chen

Present work attempts to identify the roles of flow- and geometric-variables on the scaling factor which is a necessary parameter for modeling the apparent viscosity of non-Newtonian fluid in porous media. While idealizing the porous media…

Fluid Dynamics · Physics 2021-02-11 Jithin M. , Nimish Kumar , Ashoke De , Malay K. Das

In many biological situations, a species arriving from a remote source diffuses in a domain confined between two parallel surfaces until it finds a binding partner. Since such a geometric shape falls in between two- and three-dimensional…

Chemical Physics · Physics 2019-11-05 Denis S. Grebenkov , Diego Krapf

Heterogeneous media constitute random disordered environments where transport is drastically hindered. Employing extensive molecular dynamics simulations, we investigate the spatio-temporal dynamics of tracer particles in the Lorentz model…

Statistical Mechanics · Physics 2013-02-14 Markus Spanner , Simon K. Schnyder , Felix Höfling , Thomas Voigtmann , Thomas Franosch

The behavior of gas bubbles in porous media includes bubble nucleation and growth, migration, coalescence, and trapping. These processes are significantly affected by the pore-scale characteristics and heterogeneity of the sediment. In this…

Fluid Dynamics · Physics 2020-06-15 Nariman Mahabadi , Leon A. van Paassen

Multicomponent multiphase reactive transport processes with dissolution-precipitation are widely encountered in energy and environment systems. A pore-scale two-phase multi-mixture model based on the lattice Boltzmann method (LBM) is…

Fluid Dynamics · Physics 2015-04-09 Li Chen , Qinjun Kang , Qing Tang , Bruce A. Robinson , Ya-Ling He , Wen-Quan Tao

We extend the two-scale expansion approach of periodic homogenization to include time scales and thus can tackle the full instationary Navier-Stokes-Cahn-Hilliard model at the pore scale as microscale. Time scale separation allows us to…

Fluid Dynamics · Physics 2021-03-04 Stefan Metzger , Peter Knabner

Scalar mixing fronts develop at the interface of agitated fluids of different solute concentrations. In such fronts, scalar fluctuations form at both microscopic and macroscopic scales, due to stretching-enhanced molecular diffusion and…

Fluid Dynamics · Physics 2026-05-18 Heyman Joris , Le Borgne Tanguy , Lester Daniel

The lattice Boltzmann method can be used to simulate flow through porous media with full geometrical resolution. With such a direct numerical simulation, it becomes possible to study fundamental effects which are difficult to assess either…

Computational Engineering, Finance, and Science · Computer Science 2015-08-13 Ehsan Fattahia , Christian Waluga , Barbara Wohlmuth , Ulrich Rüde , Michael Manhart , Rainer Helmig

The interacting lattice gas model is used to simulate fluid flow through an open percolating porous medium with the fluid entering at the source-end and leaving from the opposite end. The shape of the steady-state concentration profile and…

Statistical Mechanics · Physics 2009-11-07 R. B. Pandey , J. F. Gettrust , D. Stauffer

Miscible multiphase flow in porous media is a key phenomenon in various industrial and natural processes, such as hydrogen storage and geological carbon sequestration. However, the parameters controlling the patterns of displacement and…

Fluid Dynamics · Physics 2023-12-19 Yahel Eliyahu-Yakir , Ludmila Abezga , Yaniv Edery

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

We study the mixing in the presence of convective flow in a porous medium. Convection is characterized by the formation of vortices and stagnation points, where the fluid interface is stretched and compressed enhancing mixing. We analyze…

Fluid Dynamics · Physics 2018-02-14 Juan J. Hidalgo , Marco Dentz

Non-uniform product (color) distribution in colorimetric paper-based sensors affects the accuracy and reliability of measurements. The underlying mechanisms responsible for this are still unclear. The coffee ring effect explains the…

Fluid Dynamics · Physics 2026-03-27 Kulkarni Namratha , S. Pushpavanam
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