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The two-dimensional pressure driven flow of non-Newtonian power-law fluids in self-affine fracture channels at finite Reynolds number is calculated. The channels have constant mean aperture and two values $\zeta$=0.5 and 0.8 of the Hurst…

Soft Condensed Matter · Physics 2009-11-13 Yiguang Yan , Joel Koplik

We study the fluid flow through disordered porous media by numerically solving the complete set of the Navier-Stokes equations in a two dimensional lattice with a spatially random distribution of solid obstacles (plaquettes). We simulate…

Disordered Systems and Neural Networks · Physics 2015-06-25 U. M. S. Costa , J. S. Andrade , H. A. Makse , H. E. Stanley

In this work, we study non-Newtonian fluid flow in heterogeneous porous media. We are interested in fluids presenting a specific change in rheology: Newtonian below a certain shear rate and power law above. Since porous media generally…

Fluid Dynamics · Physics 2022-03-28 Laurent Talon

The flow of power law fluids, which include shear thinning and shear thickening as well as Newtonian as a special case, in networks of interconnected elastic tubes is investigated using a residual based pore scale network modeling method…

Fluid Dynamics · Physics 2015-04-27 Taha Sochi

We present an experimental and numerical study of immiscible two-phase flow in 3-dimensional (3D) porous media to find the relationship between the volumetric flow rate ($Q$) and the total pressure difference ($\Delta P$) in the steady…

We investigated the nonlinear effects of gravity-driven fluid flow through a two-dimensional, low-porosity, packed bed of stubby stone grains. We focused on preferential channel formation, tortuosity, spatial distribution of kinetic energy,…

We analyzed the effect of viscoelasticity on the dynamics of fluids in porous media by studying the flow of a Maxwell fluid in a circular tube, in which the flow is induced by a wave traveling on the tube wall. The present study…

Fluid Dynamics · Physics 2009-11-07 D. Tsiklauri , I. Beresnev

In this paper, we focus on investigating the influence on hydrodynamic factors of different coupled computational models describing the interaction between an incompressible fluid and two symmetric elastic or poroelastic structures. The…

Fluid Dynamics · Physics 2020-10-28 Tongtong Li , Xing Wang , Ivan Yotov

The influence of turbulent effects on a fluid flow through a (pseudo) porous media is studied by numerically solving the set of Reynolds-averaged Navier-Stokes equations with the $\kappa$-$\epsilon$ model for turbulence. The spatial domains…

Statistical Mechanics · Physics 2009-11-07 H. H. M. Vasconcelos , U. M. S. Costa , M. P. Almeida

The study of flow of non-Newtonian fluids in porous media is very important and serves a wide variety of practical applications in processes such as enhanced oil recovery from underground reservoirs, filtration of polymer solutions and soil…

Fluid Dynamics · Physics 2010-12-20 Taha Sochi

Non-Newtonian rheology is widely acknowledged in subsurface fluids, yet its presence and effects are largely ignored in current fracture-flow studies. Here, we simulate fracture flow of non-Newtonian polymer solutions on a several…

Fluid Dynamics · Physics 2026-03-17 Cuong Mai Bui , Stephan K. Matthai

The thesis investigates the flow of non-Newtonian fluids in porous media using pore-scale network modeling. Non-Newtonian fluids show very complex time and strain dependent behavior and may have initial yield stress. Their common feature is…

Fluid Dynamics · Physics 2010-11-04 Taha Sochi

We demonstrate through numerical simulations and a mean field calculation that immiscible two-phase flow in a porous medium behaves effectively as a Bingham viscoplastic fluid. This leads to a generalized Darcy equation where the volumetric…

Fluid Dynamics · Physics 2012-06-06 Santanu Sinha , Alex Hansen

We consider the flow of a generalized Newtonian fluid through a thin porous medium of height $h_\varepsilon$ perforated with $\varepsilon$-periodically distributed solid cylinders of very small diameter $\varepsilon\delta_\varepsilon$,…

Analysis of PDEs · Mathematics 2025-08-07 María Anguiano , Francisco J. Suárez-Grau

The estimation of the permeability of porous media to fluids is of fundamental importance in fields as diverse as oil and gas industry, agriculture, hydrology and medicine. Despite more than 150 years since the publication of Darcy's linear…

Fluid Dynamics · Physics 2024-06-07 Tairone Paiva Leão

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

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

We study the flow of a generalized Newtonian fluid, characterized by a power-law model, through a channel consisting of a wall with a flexible membrane under longitudinal tension. It is assumed that at steady state the flow through the…

Fluid Dynamics · Physics 2016-09-23 Prakash Goswami , Aditya Bandopadhyay , Suman Chakraborty

We consider a non-Newtonian fluid flow in a thin domain with thickness $\eta_\varepsilon$ and an oscillating top boundary of period $\varepsilon$. The flow is described by the 3D incompressible Navier-Stokes system with a nonlinear…

Analysis of PDEs · Mathematics 2017-12-19 María Anguiano , Francisco J. Suárez-Grau

The creeping flow of a generalized Newtonian fluid in a non--uniform pore throat is investigated analytically. The analytical solution determines the flow regimes and the transition point from Newtonian to the power law flow regime. As an…

Fluid Dynamics · Physics 2017-07-18 Hassan Fayed
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