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Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise…

A new model for predicting the effective thermal conductivity of polycrystalline materials is presented. In contrast to existing models, our new model is based on the thin-interface description of grain boundaries (GBs) and treats GBs as an…

Materials Science · Physics 2020-07-22 fergany Badry , Karim Ahmed

We study the flow of membranal fluid through a ring of immobile particles mimicking, for example, a fence around a membrane corral. We obtain a simple closed-form expression for the permeability coefficient of the ring as a function of the…

Soft Condensed Matter · Physics 2019-04-22 Yulia Sokolov , Haim Diamant

Capillary effects such as imbibition-drying cycles impact the mechanics of granular systems over time. A multiscale poromechanics framework was applied to cement paste, that is the most common building material, experiencing broad humidity…

Soft Condensed Matter · Physics 2019-05-28 Tingtao Zhou , Katerina Ioannidou , Franz-Josef Ulm , Martin Z. Bazant , Roland J. M. Pellenq

In fluid transport across nanopores, there is a fundamental dissipation that arises from the connection between the pore and the macroscopic reservoirs. This entrance effect can hinder the whole transport in certain situations, for short…

Soft Condensed Matter · Physics 2015-01-08 Simon Gravelle , Laurent Joly , Christophe Ybert , Lydéric Bocquet

This paper reviews the current state-of-the-art in the simulation of the mechanical behavior of polycrystalline materials by means of computational homogenization. The key ingredients of this modelling strategy are presented in detail…

Materials Science · Physics 2018-11-22 J. Segurado , R. A. Lebensohn , J. LLorca

Properties of fluids flow in granular aggregates are important for the design of pervious infrastructures used to alleviate urban water-logging problems. Here in this work, five groups of aggregates packing with similar average porosities…

Fluid Dynamics · Physics 2024-06-05 Qifeng Lyu , Anguo Chen , Jie Jia , Amardeep Singh , Pengfei Dai

Porous polymer films of Poly(ethylene oxide)(PEO) are synthesized by solution casting technique using gamma irradiated: (a) PEO powder (S-series) and (b) PEO - methanol solution (L-series). Pore phase forms instantaneously during…

Applied Physics · Physics 2018-06-13 Subir K. Patla , Madhumita Mukhopadhyay , Abhra Giri , Ruma Ray , Sujata Tarafdar

The characteristic impedance and the propagation coefficient are among the most important parameters for evaluating the acoustic performance of porous materials. This work investigates the influence of cylindrical modes in an impermeable…

Classical Physics · Physics 2026-05-19 Ziqi Chen , Ning Xiang

Three-scale homogenization procedure is proposed in this paper to provide estimates of the effective thermal conductivities of porous carbon-carbon textile composites. On each scale - the level of fiber tow (micro-scale), the level of yarns…

Materials Science · Physics 2018-02-26 J. Vorel , M. Sejnoha

A new and fast Matlab algorithm for predicting absolute permeability is presented. The developed tool relies on measuring the connectivity of pores in a given three-dimensional (3D) micro-CT rock image. An index of pore connectivity is…

Geophysics · Physics 2019-05-28 H. Sun , H. Al-Marzouqi , S. Vega

Turbulence plays a major role in the formation and evolution of molecular clouds. The problem is that turbulent velocities are convolved with the density of an observed region. To correct for this convolution, we investigate the relation…

Astrophysics of Galaxies · Physics 2015-05-28 Julia Roman-Duval , Christoph Federrath , Christopher Brunt , Mark Heyer , James Jackson , Ralf Klessen

We study streaming principal component analysis (PCA), that is to find, in $O(dk)$ space, the top $k$ eigenvectors of a $d\times d$ hidden matrix $\bf \Sigma$ with online vectors drawn from covariance matrix $\bf \Sigma$. We provide…

Optimization and Control · Mathematics 2017-04-18 Zeyuan Allen-Zhu , Yuanzhi Li

We consider a two-dimensional model of a porous medium where circular grains are uniformly distributed in a squared container. We assume that such medium is partially filled with water and that the stationary interface separating the water…

Analysis of PDEs · Mathematics 2015-05-15 Maria Calle , Carlota M. Cuesta , Juan J. L. Velazquez

The Brinkman equation has found great popularity in modelling the interfacial flow between free fluid and a porous medium. However, it is still unclear how to determine an appropriate effective Brinkman viscosity without resolving the flow…

Fluid Dynamics · Physics 2021-06-04 Aidan Rinehart , Uǧis Lācis , Shervin Bagheri

Convolutional neural networks (CNN) are utilized to encode the relation between initial configurations of obstacles and three fundamental quantities in porous media: porosity ($\varphi$), permeability $k$, and tortuosity ($T$). The…

Computational Physics · Physics 2022-03-16 Krzysztof M. Graczyk , Maciej Matyka

In this article we investigate the permeability of a porous medium as given in Darcy's law. The permeability is described by an effective hydraulic pore radius in the porous medium, the fluctuation in local hydraulic pore radii, the length…

Fluid Dynamics · Physics 2015-05-12 Carl Fredrik Berg

We present a mathematical approach to optimize the material distribution for fluid transport in unsaturated porous media. Our benchmark problem is a simplified diaper model as an exemplary liquid absorber. Our model has up to three…

Computational Physics · Physics 2019-10-02 Fabian Wein , Nan Chen , Naveed Iqbal , Michael Stingl , Marc Avila

Quantitative structure-property relationships are crucial for the understanding and prediction of the physical properties of complex materials. For fluid flow in porous materials, characterizing the geometry of the pore microstructure…

Soft Condensed Matter · Physics 2020-09-21 Magnus Röding , Zheng Ma , Salvatore Torquato

Many porous media are mixtures of inert and reactive materials, manifesting spatio-chemical heterogeneity. We study the evolution of scalar transport in a chemically heterogeneous material that mimics a green roof soil substrate,…