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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

The electrolyte (comprising of solute ions and solvents) flow-through the porous media is frequently encountered in nature or in many engineering applications, such as the electrochemical systems, manufacturing of composites, oil…

Fluid Dynamics · Physics 2013-09-12 Chengjun Xu , Chin-Tsau Hsu

The electrolyte (comprising of solute ions and solvents) flow-through the porous media is frequently encountered in nature or in many engineering applications, such as the electrochemical systems, manufacturing of composites, geothermal…

Fluid Dynamics · Physics 2013-09-12 Chengjun Xu , Chin-Tsau Hsu

A liquid volume containing dissolved solutes moves through a charged nanofluidic channel under the influence of the concentration gradient of the solutes, non-trivially modulated by the electrostatic interaction between ionic liquid and…

Fluid Dynamics · Physics 2023-08-31 Pranab Kumar Mondal

We study the flow of an electrically charged fluid through an elastic and porous medium. A three continuum model consisting of an elastic solid, a viscous fluid, and a mobile charge continuum is used. The relevant laws of physics are…

Soft Condensed Matter · Physics 2024-03-19 Jiashi Yang

The problem of the flow trough a porous media is formulated in terms of a pressure equation, based on arguments of volume conservation which state the mechanical equilibrium between the solid and the fluid phases. In the resulting governing…

Fluid Dynamics · Physics 2018-07-19 Francisco Mandujano Carlos Málaga

Equations governing the flow of a polar fluid, with pressure-dependent Newtonian viscosity, through a variable-porosity medium are developed. Averaged equations are obtained using intrinsic volume averaging. A drag function is introduced to…

Fluid Dynamics · Physics 2025-12-04 M. H. Hamdan , D. C. Roach

The flow of non-Newtonian fluids is ubiquitous in many applications in the geological and industrial context. We focus here on yield stress fluids (YSF), i.e. a material that requires minimal stress to flow. We study numerically the flow of…

Fluid Dynamics · Physics 2019-06-26 R. Kostenko , L. Talon

Fluid flow through bimodal porous media, characterized by a distinct separation in pore size distribution, is critical in various scientific and engineering applications, including groundwater management, oil and gas production, and carbon…

Fluid Dynamics · Physics 2024-09-06 Yuhe Wang , Yating Wang

Upscaling the effect of heterogeneities in porous media is crucial for macroscopic flow predictions, with widespread applications in energy and environmental settings. In this study, we derive expressions for the upscaled flow properties of…

Fluid Dynamics · Physics 2020-07-06 GP Benham , MJ Bickle , JA Neufeld

Polymer solutions exhibit anomalous flow thickening -- marked by an abrupt increase in the macroscopic flow resistance -- above a threshold flow rate in a porous medium, but not in bulk solution. This phenomenon has evaded a mechanistic…

Fluid Dynamics · Physics 2026-05-28 Emily Y. Chen , Simon J. Haward , Amy Q. Shen , Sujit S. Datta

Polymer solutions are frequently used in enhanced oil recovery and groundwater remediation to improve the recovery of trapped non-aqueous fluids. However, applications are limited by an incomplete understanding of the flow in porous media.…

Soft Condensed Matter · Physics 2024-04-09 Christopher A. Browne , Audrey Shih , Sujit S. Datta

Diverse processes rely on the viscous flow of polymer solutions through porous media. In many cases, the macroscopic flow resistance abruptly increases above a threshold flow rate in a porous medium---but not in bulk solution. The reason…

Fluid Dynamics · Physics 2022-06-07 Christopher A. Browne , Sujit S. Datta

Traditional models of electrokinetic transport in porous media are based on homogenized material properties, which neglect any macroscopic effects of microscopic fluctuations. This perspective is taken not only for convenience, but also…

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

Self-potential signals can be generated by different sources and can be decomposed in various contributions. Streming potential is the contribution due to the water flux in the subsurface and is of particular interest in hydrogeophysics and…

Geophysics · Physics 2020-03-19 Damien Jougnot , Delphine Roubinet , Luis Guarracino , Alexis Maineult

We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of {F}orchheimer-type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a…

Analysis of PDEs · Mathematics 2026-05-27 Emine Celik , Luan Hoang , Thinh Kieu

We consider a ubiquitous scenario where a fluctuating, semipermeable vesicle is embedded in solution while enclosing a fixed number of solute particles. The swelling with increasing number of particles or decreasing concentration of the…

Soft Condensed Matter · Physics 2008-08-16 Emir Haleva , Haim Diamant

We combine a heuristic theory of geometric percolation and the Smoluchowski theory of colloid dynamics to predict the impact of shear flow on the percolation threshold of hard spherical colloidal particles, and verify our findings by means…

Soft Condensed Matter · Physics 2022-03-28 Ilian Pihlajamaa , René de Bruijn , Paul van der Schoot

Flow through porous, elastically deforming media is present in a variety of natural contexts ranging from large-scale geophysics to cellular biology. In the case of incompressible constituents, the porefluid pressure acts as a Lagrange…

Fluid Dynamics · Physics 2022-06-30 Nicholas J. Derr , Chris H. Rycroft
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