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The flow of yield stress fluids in porous media presents interesting complexity due to the interplay between the non-linear rheology and the heterogeneity of the medium. A remarkable consequence is that the number of flow paths increases…

Fluid Dynamics · Physics 2024-01-19 Laurent Talon , Andreas Andersen Hennig , Alex Hansen , Alberto Rosso

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

Modeling of water and gas flow in low-permeability media is an important topic for a number of engineering such as exploitation of tight gas and disposal of high-level radioactive waste. It has been well documented in the literature that…

Fluid Dynamics · Physics 2018-08-28 H. W. Zhou , S. Yang , R. Wang , J. C. Zhong

We investigate the origin of the deviations from the classical Darcy law by numerical simulation of the Navier-Stokes equations in two-dimensional disordered porous media. We apply the Forchheimer equation as a phenomenological model to…

Soft Condensed Matter · Physics 2009-10-31 J. S. Andrade , U. M. S. Costa , M. P. Almeida , H. A. Makse , H. E. Stanley

In this work, we investigate the fundamental physical mechanism of the transition from Darcy to inertial (Darcy-Forchheimer) regime in steady-state flows through porous media, with the focus on vortex formation. We investigate their…

Fluid Dynamics · Physics 2025-11-18 Dawid Strzelczyk , Gregor Kosec , Maciej Matyka

Pore structures and gas transport properties in porous separators for polymer electrolyte fuel cells are evaluated both experimentally and through simulations. In the experiments, the gas permeabilities of two porous samples, a conventional…

Single fluid porous medium systems are typically modeled at an averaged length scale termed the macroscale using Darcy's law. Standard approaches for modeling macroscale single fluid phase flow of non-Newtonian fluids extend Darcy's law,…

Fluid Dynamics · Physics 2019-11-26 Christopher A. Bowers , Cass T. Miller

Porous metal foam (PMF) flow field is a potential option for proton exchange membrane fuel cells (PEMFCs) due to its excellent capabilities in gas distribution and water drainage. However, the gas-liquid two-phase flow in the PMF flow field…

Fluid Dynamics · Physics 2025-12-03 Xingxiao Tao , Kai Sun , Rui Chen , Mengshan Suo , Huaiyu Liu , Zhizhao Che , Tianyou Wang

The present work is aimed to find suitable exchange conditions for saturated fluid flow in a porous medium, when a fractal microstructure is embedded in the porous matrix. Two different deterministic models are introduced and rigorously…

Analysis of PDEs · Mathematics 2020-08-21 Fernando A Morales , Luis C Aristizábal

A stochastic approach to the filling dynamics of an open topology porous structure permeated with a perfectly wetting fluid is presented. From the discrete structure of the disordered voids network with only nearest neighbors links, we…

Soft Condensed Matter · Physics 2020-01-22 Robert Bouzerar , Issyan Tekaya , Roger Bouzerar

Topology optimization offers optimal material layouts, enabling automation in the design of devices. Given the recent advances in computer technology and additive manufacturing, topology optimization is increasingly being used to design…

Fluid Dynamics · Physics 2021-07-28 T. Phatak , K. B. Nakshatrala

The permeability of a porous medium is strongly affected by its local geometry and connectivity, the size distribution of the solid inclusions and the pores available for flow. Since direct measurements of the permeability are time…

Fluid Dynamics · Physics 2012-05-15 I. Zinovik , D. Poulikakos

The modeling of flow and heat transfer in porous media systems have always been a challenge and, the extended Darcy transport models for flow and equilibrium and non-equilibrium energy models for heat transfer are being used for macro-level…

Fluid Dynamics · Physics 2022-05-10 Surendra Singh Rathore , Balkrishna Mehta , Pradeep Kumar , Mohammad Asfer

Experimental two-phase invasion percolation flow patterns were observed in hydrophobic micro-porous networks designed to model fuel cell specific porous media. In order to mimic the operational conditions encountered in the porous…

Fluid Dynamics · Physics 2009-09-07 Viatcheslav Berejnov , Aimy Bazylak , David Sinton , Ned Djilali

We use confocal microscopy to directly visualize the spatial fluctuations in fluid flow through a three-dimensional porous medium. We find that the velocity magnitudes and the velocity components both along and transverse to the imposed…

Soft Condensed Matter · Physics 2013-08-07 Sujit S. Datta , Harry Chiang , T. S. Ramakrishnan , David A. Weitz

In disordered porous media, two-phase flow of immiscible fluids (biphasic flow) is organized in patterns that sometimes exhibit fractal geometries over a range of length scales, depending on the capillary, gravitational and viscous forces…

The nonlinear Brinkman-Forchheimer-extended Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. The results concerning the existence and uniqueness of a weak solution are presented for nonlinear…

Analysis of PDEs · Mathematics 2016-10-28 Piotr Skrzypacz , Dongming Wei

The objective of this study is to highlight the effect of porosity variation in a topology optimization process in the field of fluid dynamics. Usually a penalization term added to momentum equation provides to get material distribution.…

Fluid Dynamics · Physics 2020-04-23 Rakotobe Michaël , Ramalingom Delphine , Cocquet Pierre-Henri , Bastide Alain

This study presents a novel workflow for constructing hybrid macropore-Darcy models from micro-CT images of microporous rocks. In our approach, macropore networks are extracted using established methods, while the microporosity is…

In present analysis, nanofluid transport near to a stagnation region over a bidirectionally deforming surface is scrutinized. The region is embedded with Darcy-Forchheimer medium which supports permeability. The porous matrix is suspended…

Fluid Dynamics · Physics 2020-06-09 Rakesh Kumar , Ravinder Kumar , Tanya Sharma