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Pore network modelling has traditionally been used to study displacement processes in idealized porous media related to geological flows, with applications ranging from groundwater hydrology to enhanced oil recovery. Very recently, pore…

Fluid Dynamics · Physics 2008-04-15 A. Bazylak , V. Berejnov , B. Markicevic , D. Sinton , N. Djilali

Tortuosity ($T$) is a parameter describing an average elongation of fluid streamlines in a porous medium as compared to free flow. In this paper several methods of calculating this quantity from lengths of individual streamlines are…

Fluid Dynamics · Physics 2015-05-27 Artur Duda , Zbigniew Koza , Maciej Matyka

This paper reports turbulent boundary layer measurements made over open-cell reticulated foams with varying pore size and thickness, but constant porosity ($\epsilon \approx 0.97$). The foams were flush-mounted into a cutout on a flat…

Fluid Dynamics · Physics 2018-03-14 Christoph Efstathiou , Mitul Luhar

We develop a framework for analyzing parameter symmetries in deep ReLU networks and obtain a complete characterization of the generic parameter fibers for three-layer bottleneck architectures. Our approach provides explicit semi-algebraic…

Machine Learning · Computer Science 2026-05-19 Johanna Marie Gegenfurtner , Moritz Grillo , Guido Montúfar

The convergence between effective medium theory and pore-network modelling is examined. Electrical conductance on two and three-dimensional cubic resistor networks is used as an example of transport through composite materials or porous…

Materials Science · Physics 2021-09-17 Jack Edwards , Peter Berg

Filter pruning has drawn more attention since resource constrained platform requires more compact model for deployment. However, current pruning methods suffer either from the inferior performance of one-shot methods, or the expensive time…

Computer Vision and Pattern Recognition · Computer Science 2020-10-15 Dong Li , Sitong Chen , Xudong Liu , Yunda Sun , Li Zhang

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

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

Power minimisation in branched fluidic networks has gained significant attention in biology and engineering. The optimal network is defined by channel radii that minimise the sum of viscous dissipation and the volumetric energetic cost of…

Fluid Dynamics · Physics 2025-01-16 Jan Siemen Smink , Rob Hagmeijer , Cornelis Henricus Venner , Claas Willem Visser

In this work, a two-dimensional mathematical model is developed to study the flow patterns and volumetric flow penetrations in the flow channel over the porous electrode layered system in vanadium flow battery with serpentine flow field…

Soft Condensed Matter · Physics 2016-11-01 Xinyou Ke , Joseph M. Prahl , J. Iwan D. Alexander , Robert F. Savinell

Faults and geological barriers can drastically affect the flow patterns in porous media. Such fractures can be modeled as interfaces that interact with the surrounding matrix. We propose a new technique for the estimation of the location…

Numerical Analysis · Mathematics 2016-10-24 Hend Ben Ameur , Guy Chavent , Cheikh Fatma , François Clément , Vincent Martin , Jean E. Roberts

We study the kinetics of infiltration in which contaminant particles, which are suspended in a flowing carrier fluid, penetrate a porous medium. The progress of the ``invader'' particles is impeded by their trapping on active ``defender''…

Statistical Mechanics · Physics 2009-10-31 W. Hwang , S. Redner

When considering flows in biological membranes, they are usually treated as flat, though more often than not, they are curved surfaces, even extremely curved, as in the case of the endoplasmic reticulum. Here, we study the topological…

Fluid Dynamics · Physics 2021-05-27 Rickmoy Samanta , Naomi Oppenheimer

Wetting of the membrane to displace air or conditioning liquids is important to exploit the complex porosity of a filtration membrane. This study reveals the details of wetting in multibore membrane-based filtration modules. Using magnetic…

Applied Physics · Physics 2022-04-12 Denis Wypysek , Anna Maria Kalde , Florian Pradellok , Matthias Wessling

As a typical multiphase fluid flow process, drainage in porous media is of fundamental interest in nature and industrial applications. During drainage processes in unsaturated soils and porous media in general, saturated clusters, in which…

Soft Condensed Matter · Physics 2018-02-22 Shuoqi Li , Mingchao Liu , Dorian Hanaor , Yixiang Gan

We present the results of a Direct Numerical Simulation of a particle-laden spatially developing turbulent boundary layer up to Re{\theta} = 2500. Two main features differentiate the behavior of inertial particles in a zero-…

Network modelling of water retention and conductivity of porous geomaterials based on filling and emptying of pores requires the use of a computational cell which is a representative volume element of the material. The conditions for the…

Fluid Dynamics · Physics 2018-11-29 Ignatios Athanasiadis , Simon Wheeler , Peter Grassl

Recent advances in pruning of neural networks have made it possible to remove a large number of filters or weights without any perceptible drop in accuracy. The number of parameters and that of FLOPs are usually the reported metrics to…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Sara Elkerdawy , Mostafa Elhoushi , Abhineet Singh , Hong Zhang , Nilanjan Ray

We use a theoretical model to explore how fluid dynamics, in particular, the pressure gradient and wall shear stress in a channel, affect the deposition of particles flowing in a microfluidic network. Experiments on transport of colloidal…

Soft Condensed Matter · Physics 2023-03-28 Gess Kelly , Navid Bizmark , Bulbul Chakraborty , Sujit S. Datta , Thomas G. Fai

This paper studies an optimal control problem related to membrane filtration processes. A simple mathematical model of membrane fouling is used to capture the dynamic behavior of the filtration process which consists in the attachment of…

Optimization and Control · Mathematics 2020-06-18 Nesrine Kalboussi , Alain Rapaport , Térence Bayen , Nihel Ben Amar , Fatma Ellouze , Jérôme Harmand