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We report and discuss, by means of pore-scale numerical simulations, the possibility of achieving a directional-dependent two-phase flow behaviour during the process of invasion of a viscous fluid into anisotropic porous media with…

流体动力学 · 物理学 2021-10-27 Dario Maggiolo , Francesco Picano , Federico Toschi

MD simulations of methane confined between graphite walls with up to 4,800,000 interaction sites, i.e., carbon atoms and methane molecules, are conducted, where the channel width is varied to include both the boundary-dominated regime and…

介观与纳米尺度物理 · 物理学 2009-12-01 Martin Horsch , Jadran Vrabec , Martin Bernreuther , Hans Hasse

This paper develops a closed-form, analytical expression for the Darcy velocity of a Newtonian fluid flowing through a channel filled with a porous medium, bound by rigid walls and driven by a constant pressure gradient. We express the…

流体动力学 · 物理学 2016-07-18 Amey Joshi

We present a mesoscopic approach to analyze the dynamics of a single magnetic dipole under the influence of an oscillating magnetic field, based on the formulation of a Fokker-Planck equation. The dissipated power and the viscosity of a…

凝聚态物理 · 物理学 2016-09-07 A. Perez Madrid , T. Alarcon , J. M. G. Vilar , J. M. Rubi

In this paper, effect of physical parameters in presence of magnetic field on heat transfer and flow of third grade non-Newtonian Nanofluid in a porous medium with annular cross sectional analytically has been investigated. The viscosity of…

In this work, we investigate a model describing flow through porous media with permeability heterogeneity, combining an advection-reaction-diffusion equation for solute concentration with an unsteady Darcy-Brinkman equation with Korteweg…

偏微分方程分析 · 数学 2026-04-14 Pankaj Roy , Satyajit Pramanik

Algorithm is constructed which models single-file motion of particles interacting with each other and with the surroundings. As an example, we present the results of Brownian Dynamics simulations of the motion of cations moving through a…

计算物理 · 物理学 2007-05-23 I. D. Kosińska , A. Fuliński

The derivation of shallow water models from Navier-Stokes equations is revisited yielding a class of two-layer shallow water models.An improved velocity profile is proposed, based on the superposition of an ideal fluid and a viscous layer…

偏微分方程分析 · 数学 2018-06-11 François James , Pierre-Yves Lagrée , Hoang-Minh Le , Mathilde Legrand

In this paper, we present a residual-driven multiscale method for simulating Darcy flow in perforated domains, where complex geometries and highly heterogeneous permeability make direct simulations computationally expensive. To address…

数值分析 · 数学 2026-03-11 Wei Xie , Shubin Fu , Yin Yang , Yunqing Huang

Of concern in this paper is an investigation of peristaltic transport of a physiological fluid in an asymmetric channel under long wave length and low-Reynolds number assumptions. The flow is assumed to be incompressible, viscous,…

流体动力学 · 物理学 2010-07-07 G. C. Shit , M. Roy , E. Y. K. Ng

In porous media, there are three known regimes of fluid flows, namely, pre-Darcy, Darcy and post-Darcy. Because of their different natures, these are usually treated separately in literature. To study complex flows when all three regimes…

偏微分方程分析 · 数学 2017-04-05 Emine Celik , Luan Hoang , Akif Ibragimov , Thinh Kieu

This work develops a computational and theoretical framework for determining effective permeabilities in anisotropic microscopic geometries containing dense, fibre-like obstacles, motivated by the need to model flow in coiled aneurysm…

Understanding the transport properties of microorganisms and self-propelled particles in porous media has important implications for human health as well as microbial ecology. In free space, most microswimmers perform diffusive random walks…

软凝聚态物质 · 物理学 2023-08-10 David Saintillan

The migration of a Brownian fluid droplet in a parallel-plate microchannel was investigated using dissipative particle dynamics computer simulations. In a Newtonian solvent, the droplet migrated toward the channel walls due to inertial…

软凝聚态物质 · 物理学 2019-04-16 Michael P. Howard , Thomas M. Truskett , Arash Nikoubashman

This extensive investigation explores the influence of inclined magnetic fields and radiative non-linear heat flux on the behavior of dusty hybrid nanofluids over stretching/shrinking wedges. Employing $Cu$-$SiO_2$ as a hybrid nanoparticle…

流体动力学 · 物理学 2025-04-17 Nimra Muqaddass , Waqar Ahmed Khanb , Fazle Mabood

In this paper, we consider multipoint flux mixed finite element discretizations for slightly compressible Darcy flow in porous media. The methods are formulated on general meshes composed of triangles, quadrilaterals, tetrahedra or…

数值分析 · 数学 2018-11-07 Andrés Arrarás , Laura Portero

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…

数值分析 · 数学 2023-01-25 Sergio Caucao , Marco Discacciati

This paper deals with simulation of flow and transport in porous media such as transport of groundwater contaminants. We first discuss how macro scale equations are derived and which terms have to be closed by models. The transport of…

The accurate description of fluid flow and transport in fractured porous media is of paramount importance to capture the macroscopic behaviour of an oil reservoir, a geothermal system, or a CO2 sequestration site, to name few applications.…

数值分析 · 数学 2019-08-01 Alessio Fumagalli , Eirik Keilegavlen

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…

数值分析 · 数学 2024-08-02 Chiara Giovannini , Alessio Fumagalli , Francesco Patacchini
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