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The paper presents a new type of weakly nonlinear two-scale model of inflatable periodic poroelastic structures saturated by Newtonian fluids. The periodic microstructures incorporate fluid inclusions connected to the fluid channels by…

Analysis of PDEs · Mathematics 2025-08-28 Eduard Rohan , Vladimír Lukeš

Compressing a porous, fluid-filled material will drive the interstitial fluid out of the pore space, as when squeezing water out of a kitchen sponge. Inversely, injecting fluid into a porous material can deform the solid structure, as when…

Soft Condensed Matter · Physics 2015-02-25 Christopher W. MacMinn , Eric R. Dufresne , John S. Wettlaufer

Microorganisms and synthetic microswimmers often encounter complex environments consisting of networks of obstacles embedded into viscous fluids. Such settings include biological media, such as mucus with filamentous networks, as well as…

We study the rotational motion of nano-flake ferromagnetic discs suspended in a Newtonian fluid, as a potential material owing the vortex-like magnetic configuration. Using analytical expressions for hydrodynamic, magnetic and Brownian…

We present in detail a set of algorithms to carry out fluid displacements in a dynamic pore-network model of immiscible two-phase flow in porous media. The algorithms are general and applicable to regular and irregular pore networks in two…

Fluid Dynamics · Physics 2019-07-31 Santanu Sinha , Magnus Aa. Gjennestad , Morten Vassvik , Alex Hansen

In this paper we show the global well-posedness of solutions to a three-dimensional magnetohydrodynamical (MHD) model in porous media. Compared to the classical MHD equations, our system involves a nonlinear damping term in the momentum…

Analysis of PDEs · Mathematics 2018-06-07 Edriss S. Titi , Saber Trabelsi

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

The pressure and flow statistics of Darcy flow through a random permeable medium are expressed in a form suitable for evaluation by the method of simulated annealing. There are several attractive aspects to using simulated annealing: (i)…

Computational Engineering, Finance, and Science · Computer Science 2019-04-04 Marise J. E. Westbroek , Peter R. King , Dimitri D. Vvedensky , Ronnie L. Schwede

This work introduces a novel application for predicting the macroscopic intrinsic permeability tensor in deformable porous media, using a limited set of micro-CT images of real microgeometries. The primary goal is to develop an efficient,…

Fluid Dynamics · Physics 2025-01-14 Yousef Heider , Fadi Aldakheel , Wolfgang Ehlers

Predicting the permeability of porous media in saturated and partially saturated conditions is of crucial importance in many geo-engineering areas, from water resources to vadose zone hydrology or contaminant transport predictions. Many…

Non-equilibrium molecular dynamics (NEMD) simulations of fluid flow have highlighted the peculiarities of nanoscale flows compared to classical fluid mechanics; in particular, boundary conditions can deviate from the no-slip behavior at…

Soft Condensed Matter · Physics 2025-03-11 Giorgia Marcelli , Tecla Bottinelli Montandon , Roya Ebrahimi Viand , Felix Höfling

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

Based on the phenomenological extension of Darcy's law, two-fluid flow is dependent on a relative permeability function of saturation only that is process/path dependent with an underlying dependency on pore structure. For applications,…

Microflows are intensively used for investigating and controlling the dynamics of particles, including soft particles such as biological cells and capsules. A classic result is the tank-treading motion of elliptically deformed soft…

Soft Condensed Matter · Physics 2021-10-06 Matthias Laumann , Walter Zimmermann

In this work, we investigate the interaction of free and porous media flow by large scale lattice Boltzmann simulations. We study the transport phenomena at the porous interface on multiple scales, i.e., we consider both, computationally…

Computational Engineering, Finance, and Science · Computer Science 2015-07-24 Ehsan Fattahi , Christian Waluga , Barbara Wohlmuth , Ulrich Rüde

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

Motivated by recent experiments [Science {\bf 299}, 1042 (2003)] reporting that carbon nanotubes immersed in a flowing fluid displayed an electric current and voltage, we numerically study the behaviour of a collection of Brownian particles…

Statistical Mechanics · Physics 2007-05-23 Moumita Das , Sriram Ramaswamy , A. K. Sood , G. Ananthakrishna

Polymer solutions subject to pressure driven flow and in nanoscale slit pores are systematically investigated using the dissipative particle dynamics approach. We investigated the effect of molecular weight, polymer concentration and flow…

Soft Condensed Matter · Physics 2015-06-25 J. A. Millan , W. Jiang , M. Laradji , Y. Wang

The particle and momentum balance equations can be solved on concentric circular flux surfaces to determine the effective viscous drag present in a magnetized tokamak plasma in the low aspect ratio limit. An analysis is developed utilizing…

Plasma Physics · Physics 2007-10-16 Robert W. Johnson

We combine quantum-chemical calculations and molecular dynamics simulations to consider aqueous ion flow across non-axisymmetric nanopores in monolayer graphene and MoS$_2$. When the pore-containing membrane is subject to uniaxial tensile…

Applied Physics · Physics 2020-04-30 A. Smolyanitsky , A. Fang , A. F. Kazakov , E. Paulechka