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Laboratory experiments were conducted to study particle migration and flow properties of non- Brownian, non-colloidal suspensions ranging from 10% to 40% particle volume fraction in a pressure-driven flow over and through a porous structure…

流体动力学 · 物理学 2023-02-01 Parisa Mirbod , Nina C. Shapley

In this work, we analyze the flow filtration process of slightly compressible fluids in porous media containing man made fractures with complex geometries. We model the coupled fracture-porous media system where the linear Darcy flow is…

偏微分方程分析 · 数学 2024-05-29 Pushpi Paranamana , Eugenio Aulisa , Akif Ibragimov , Magdalena Toda

Vorticity plays a prominent role in the dynamics of incompressible viscous flows. In two-dimensional freely decaying turbulence, after a short transient period, evolution is essentially driven by interactions of viscous vortices, the…

偏微分方程分析 · 数学 2016-10-27 Thierry Gallay , Yasunori Maekawa

The Muskat problem models the filtration of two incompressible immiscible fluids of different characteristics in porous media. In this paper, we consider both the 2D and 3D setting of two fluids of different constant densities and different…

偏微分方程分析 · 数学 2019-05-02 Francisco Gancedo , Eduardo Garcia-Juarez , Neel Patel , Robert M. Strain

We study the solid-to-liquid transition in a two-dimensional fully periodic soft-glassy model with an imposed spatially heterogeneous stress. The model we consider consists of droplets of a dispersed phase jammed together in a continuous…

软凝聚态物质 · 物理学 2018-06-06 Matteo Lulli , Roberto Benzi , Mauro Sbragaglia

Confining glassy polymer into films can substantially modify their local and film-averaged properties. We present a lattice model of film geometry with void-mediated facilitation behaviors but free from any elasticity effect. We analyze the…

软凝聚态物质 · 物理学 2024-05-17 Qiang Zhai , Xin-Yuan Gao , Chun-Shing Lee , Chin-Yuan Ong , Ke Yan , Hai-Yao Deng , Sen Yang , Chi-Hang Lam

We study the anisotropic Forchheimer-typed flows for compressible fluids in porous media. The first half of the paper is devoted to understanding the nonlinear structure of the anisotropic momentum equations. Unlike the isotropic flows, the…

偏微分方程分析 · 数学 2024-12-05 Luan Hoang , Thinh Kieu

We investigate mathematical properties of the system of nonlinear partial differential equations that describe, under certain simplifying assumptions, evolutionary processes in water-saturated granular materials. The unconsolidated solid…

偏微分方程分析 · 数学 2020-12-30 Anna Abbatiello , Miroslav Bulíček , Tomáš Los , Josef Málek , Ondřej Souček

This paper is the fifth in a series exploring the physical consequences of the solidity of glass-forming liquids. Paper IV proposed a model where the density field is described by a time-dependent Ginzburg-Landau equation of the…

软凝聚态物质 · 物理学 2009-11-13 Jeppe C. Dyre

Context. Differential rotation has a strong influence on stellar internal dynamics and evolution, notably by triggering hydrodynamical instabilities, by interacting with the magnetic field, and more generally by inducing transport of…

太阳与恒星天体物理 · 物理学 2018-07-25 Vincent Prat , Stéphane Mathis , Kyle Augustson , François Lignières , Jérôme Ballot , Lucie Alvan , Allan Sacha Brun

Viscous streaming refers to the rectified, steady flows that emerge when a liquid oscillates around an immersed microfeature, typically a solid body or a bubble. The ability of such features to locally concentrate stresses produces strong…

Equations governing the flow of a polar fluid, with pressure-dependent Newtonian viscosity, through a variable-porosity medium are developed. Averaged equations are obtained using intrinsic volume averaging. A drag function is introduced to…

流体动力学 · 物理学 2025-12-04 M. H. Hamdan , D. C. Roach

Viscous fingering (VF) is an interfacial instability that occurs in a narrow confinement or porous medium when a less-viscous fluid pushes a more viscous one, producing finger-like patterns. Controlling the VF instability is essential to…

流体动力学 · 物理学 2022-05-18 Alban Pouplard , Peichun Amy Tsai

In this paper, a pore-scale network modeling method, based on the flow continuity residual in conjunction with a Newton-Raphson non-linear iterative solving technique, is proposed and used to obtain the pressure and flow fields in a network…

流体动力学 · 物理学 2014-12-02 Taha Sochi

A generalized hydrodynamic (GHD) model depicting the behaviour of visco-elastic fluids has often been invoked to explore the behaviour of a strongly coupled dusty plasma medium below their crystallization limit. The model has been…

等离子体物理 · 物理学 2015-06-22 Vikram Singh Dharodi , Sanat Kumar Tiwari , Amita Das

We first established the dynamic equations to describe the noisy circling motion of a single particle and the corresponding probability conservation equation in both two dimensions and three dimensions, and then developed the evolution…

统计力学 · 物理学 2012-06-07 Tieyan Si

The dynamical response of edge waves under the influence of self-gravity is examined in an idealized two-dimensional model of a proto-stellar disc, characterized in steady state as a rotating vertically infinite cylinder of fluid with…

太阳与恒星天体物理 · 物理学 2016-04-27 Ron Yellin-Bergovoy , Eyal Heifetz , Orkan M. Umurhan

We have simulated the temporal evolution of pressure due to capillary and viscous forces in two-phase drainage in porous media. We analyze our result in light of macroscopic flow equations for two-phase flow. We also investigate the effect…

流体动力学 · 物理学 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen

The nonlinear turbulent interactions between acoustic gravity waves are investigated using two dimensional nonlinear fluid simulations. The acoustic gravity waves consist of velocity and density perturbations and propagate across the…

大气与海洋物理 · 物理学 2015-05-13 Dastgeer Shaikh , Padma K Shukla , Lennart Stenflo

The translation and shape deformations of a passive viscous Newtonian droplet immersed in an active nematic liquid crystal under circular confinement are analyzed using a linear stability analysis. We focus on the case of a sharply aligned…

软凝聚态物质 · 物理学 2025-07-29 Tanumoy Dhar , Michael J. Shelley , David Saintillan