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We study the problem of the transformation of a given reactant species into an immiscible product species, as they flow through a chemically active porous medium. We derive the equation governing the evolution of the volume fraction of the…

Fluid Dynamics · Physics 2015-01-06 Alexandre Darmon , Michael Benzaquen , Thomas Salez , Olivier Dauchot

The fracturing-flooding technology is a new process for the development of low-permeability oil reservoirs, achieving a series of successful applications in oilfield production. However, existing numerical simulation methods for pressure…

Optimization and Control · Mathematics 2026-05-28 Xiang Wang , Wenjie Yu , Yixin Xie , Yanfeng He , Hui Xu , Xianxiang Chu , Changfu Li

Understanding fluid movement in multi-pored materials is vital for energy security and physiology. For instance, shale (a geological material) and bone (a biological material) exhibit multiple pore networks. Double porosity/permeability…

Numerical Analysis · Mathematics 2024-01-30 K. B. Nakshatrala

A concentration difference of particles across a membrane perforated by pores will induce a diffusive flux. If the diffusing objects are of the same length scale as the the pores, diffusion may not be simple, objects can move into the pore…

Soft Condensed Matter · Physics 2015-05-18 Robert S. Shaw , Norman H. Packard

Three different porous substrates (with different pore sizes, s, and permeabilities, K) are used to examine their effect on the structure of boundary layer flow over them. The flow is characterised with single-point hot-wire measurements as…

Fluid Dynamics · Physics 2024-02-06 Prateek Jaiswal , Bharathram Ganapathisubramani

Flows through porous media can carry suspended and dissolved materials. These sediments may deposit inside the pore-space and alter its geometry. In turn, the changing pore structure modifies the preferential flow paths, resulting in a…

Fluid Dynamics · Physics 2024-06-19 H. J. Seybold , Izael A. Lima , Ascânio D. Araújo

In a porous medium featuring heterogeneous permeabilities, a wide range of fluid velocities may be recorded, so that significant inertial and frictional effects may arise in high-speed regions. In such parts, the link between pressure…

Numerical Analysis · Mathematics 2024-08-02 Chiara Giovannini , Alessio Fumagalli , Francesco Patacchini

We address the discretization of two-phase Darcy flows in a fractured and deformable porous medium, including frictional contact between the matrix-fracture interfaces. Fractures are described as a network of planar surfaces leading to the…

Numerical Analysis · Mathematics 2022-01-24 Francesco Bonaldi , Jérôme Droniou , Roland Masson , Antoine Pasteau

Characteristics of Oscillating Flow in a Straight Tube with varying thickness of porous layer at the wall is studied. Results for two different porous layer is discussed and compared in terms of Velocity Profile, phase differences and…

Fluid Dynamics · Physics 2021-04-28 Pawan Kumar Pandey , Malay Kumar Das

We report the results of a study of multiphase flow in porous media. A Darcy's law for steady multiphase flow was investigated for both binary and ternary amphiphilic flow. Linear flux-forcing relationships satisfying Onsager reciprocity…

Soft Condensed Matter · Physics 2009-11-07 Peter J. Love , Jean-Bernard Maillet , Peter V. Coveney

This paper develops the a priori analysis of a mixed finite element method for the filtration of an incompressible fluid through a non-deformable saturated porous medium with heterogeneous permeability. Flows are governed by the…

Numerical Analysis · Mathematics 2023-01-25 Sergio Caucao , Marco Discacciati

In this paper we study a mathematical model that represents the concentration polarization and osmosis effects in a reverse osmosis cross-flow channel with porous membranes at some of its boundaries. The fluid is modeled using the…

Numerical Analysis · Mathematics 2022-12-19 Nicolás Carro , David Mora , Jesus Vellojin

We provide an analytical solution to examine the impact of steady and pulsatile flow in a symmetric wavy channel filled with an anisotropic porous medium. The flow inside the wavy channel with a porous substrate is governed by the…

Fluid Dynamics · Physics 2025-10-13 Sanchita Pramanik , Timir Karmakar

We consider a two-phase Darcy flow in a fractured and deformable porous medium for which the fractures are described as a network of planar surfaces leading to so-called hybrid-dimensional models. The fractures are assumed open and filled…

Numerical Analysis · Mathematics 2021-08-17 Francesco Bonaldi , Konstantin Brenner , Jérôme Droniou , Roland Masson , Antoine Pasteau , Laurent Trenty

A computer simulation is used to predict the effects of membrane morphology on the thermal efficiency of direct contact membrane distillation. The mass transfer through the porous microstructure and the heat conduction through the membrane…

Computational Physics · Physics 2019-03-06 Gavin A. Buxton

The impact of wettability on the co-moving velocity of two-fluid flow in porous media is analyzed herein. The co-moving velocity, developed by Roy et al. (2022), is a novel representation of the flow behavior of two fluids through porous…

The Brinkman equation has found great popularity in modelling the interfacial flow between free fluid and a porous medium. However, it is still unclear how to determine an appropriate effective Brinkman viscosity without resolving the flow…

Fluid Dynamics · Physics 2021-06-04 Aidan Rinehart , Uǧis Lācis , Shervin Bagheri

This work is concerned with the intricate interplay between node or pore pressures and connection or throat conductivities in flow or pore networks. A setting similar to pore networks is given by fracture networks. Recently, a non-local…

Fluid Dynamics · Physics 2019-07-30 Daniel W. Meyer , Artur Gomolinski

Predicting the flow of non-Newtonian fluids in porous structure is still a challenging issue due to the interplay betwen the microscopic disorder and the non-linear rheology. In this letter, we study the case of an yield stress fluid in a…

Soft Condensed Matter · Physics 2019-06-26 Chen Liu , Andrea De Luca , Alberto Rosso , Laurent Talon

This study presents a topology optimization framework for the design of water cooled heat sinks that incorporate voided lattice structures, formulated using a two-layer Darcy-Forchheimer model. Conventional porous heat sinks often suffer…

Computational Engineering, Finance, and Science · Computer Science 2025-11-29 Tatsuki Saito , Yuto Kikuchi , Kuniharu Ushijima , Kentaro Yaji
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