scholarly journals Novel Lattice Models for Porous Media

2012 ◽  
Vol 1475 ◽  
Author(s):  
Andrey P. Jivkov ◽  
Joseph E. Olele
Keyword(s):  
Experimental Data ◽  
Porous Media ◽  
Coordination Number ◽  
Support Systems ◽  
Lattice Models ◽  
Network Models ◽  
Constitutive Laws ◽  
Average Coordination Number ◽  
Engineering Applications ◽  
Internal Damage

ABSTRACTNetwork models of porous media are beneficial for predicting evolution of macroscopic permeability. This work proposes novel models based on truncated octahedral support. Systems with different pore coordination spectra for a given average coordination number can be constructed to match experimental data. This feature, and the allowed pore coordination of 14, make the proposed models more realistic and flexible than existing models with cubic support. Experimental data for two sandstones with substantially different properties are used to demonstrate the models’ ability to predict permeability. A strategy for calculating its evolution with internal damage is also described and results are presented. Developments of this strategy are suggested for deriving mechanism-based constitutive laws for engineering applications.

The role of coordination number and pore size distribution on flow organization in porous media

2020 ◽  
Author(s):  
Alexandre Puyguiraud ◽  
Pierre Uszes ◽  
Marco Dentz
Keyword(s):  
Porous Media ◽  
Coordination Number ◽  
Network Models ◽  
Industrial Applications ◽  
Flow In Porous Media ◽  
Local Pressure ◽  
Geometrical Properties ◽  
Pore Sizes ◽  
Flow Speeds ◽  
The Impact

<p><span>Understanding and computing fluid flow in porous media is relevant for many environmental and industrial applications. However, directly computing the flow on complex and large geometries is limited by computational capacities. To tackle this issue, many studies have aimed at relating flow distributions to the geometrical properties of the domain. However, understanding the relation between the the pore-scale structure and the experienced velocity distribution is still a challenge.<br></span>To improve this understanding we study well defined pore network models in 2D and 3D. We vary three main parameters: the coordination number that determine the amount of connections that a pore body has, the distribution of pore sizes, and geometric disorder.</p><p>We focus on the impact of these parameters on the flow organization in term of the distribution of flow speeds and local pressure gradients. We conclude that distribution of pore sizes and the coordination number are the main geometrical features that control the Eulerian speed distribution. </p>

scholarly journals Investigation of representing hysteresis in macroscopic models of two-phase flow in porous media using intermediate scale experimental data

2017 ◽  
Vol 53 (1) ◽  
pp. 199-221 ◽  
Author(s):  
Abdullah Cihan ◽  
Jens Birkholzer ◽  
Luca Trevisan ◽  
Ana Gonzalez-Nicolas ◽  
Tissa Illangasekare
Keyword(s):  
Experimental Data ◽  
Porous Media ◽  
Two Phase Flow ◽  
Flow In Porous Media ◽  
Phase Flow ◽  
Two Phase ◽  
Intermediate Scale ◽  
Macroscopic Models

Three Approaches for Managing Stiffness in Origami-Inspired Mechanisms

2018 ◽  
Author(s):  
Alden Yellowhorse ◽  
Larry L. Howell
Keyword(s):  
Experimental Data ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Engineering Applications ◽  
Element Analysis ◽  
Advantages And Disadvantages ◽  
Large Size ◽  
Selection For

Ensuring that deployable mechanisms are sufficiently rigid is a major challenge due to their large size relative to their mass. This paper examines three basic types of stiffener that can be applied to light, origami-inspired structures to manage their stiffness. These stiffeners are modeled analytically to enable prediction and optimization of their behavior. The results obtained from this analysis are compared to results from a finite-element analysis and experimental data. After verifying these models, the advantages and disadvantages of each stiffener type are considered. This comparison will facilitate stiffener selection for future engineering applications.

scholarly journals Coordination Numbers of Bivalent Ions in Organic Solvents

2021 ◽  
Vol 95 (10) ◽  
pp. 2059-2064
Author(s):  
M. A. Orekhov
Keyword(s):  
Experimental Data ◽  
Theoretical Model ◽  
Molecular Dynamic ◽  
Coordination Number ◽  
Organic Solvents ◽  
Organic Molecule ◽  
Dynamic Models ◽  
Coordination Numbers ◽  
A Value ◽  
Bivalent Ions

Abstract Molecular dynamic models are created for properties of bivalent ions in organic solvents. It is shown that molecules of the considered solvents bound to ions via oxygen atoms. A theoretical model is developed that describes the ion coordination number. The coordination number in this model is determined by the ratio between the sizes of the ion and the atom organic molecule bound to it. It is shown that the coordination number depends weakly on the solvent and strongly on the type of ion. A value of 0.13 nm is obtained for the effective size of an oxygen atom bound to a bivalent ion. The constructed theoretical model agrees with the results from molecular dynamic calculations and the available experimental data.

Optical constants of gold blacks: Fractal network models and experimental data

2002 ◽  
Vol 65 (24) ◽  
Author(s):  
Juan A. Sotelo ◽  
Vitaly N. Pustovit ◽  
Gunnar A. Niklasson
Keyword(s):  
Experimental Data ◽  
Optical Constants ◽  
Network Models ◽  
Fractal Network

Colmatage naturel d'un milieu filtrant par les particules en suspension dans l'eau

1979 ◽  
Vol 6 (2) ◽  
pp. 243-252
Author(s):  
Marcel Frenette ◽  
Conrad Anctil
Keyword(s):  
Experimental Data ◽  
Porous Media ◽  
Suspended Sediment ◽  
Permeability Coefficient ◽  
General Study

This paper contains a general study on the natural clogging of porous media by suspended sediment in water. This creates with time a decrease in the permeability coefficient and consequently a reduction of the seepage flow.Two theories are presented and compared for the prediction of the rate of clogging in nature. The two approaches have been verified by experimental data obtained from tests carried out at Laval University. Results have permitted the limits of application of each method to be denned.

scholarly journals 2-d mathematical and numerical modeling of fluid flow inside and outside packing in catalytic packed bed reactor

REAKTOR ◽  
2017 ◽  
Vol 5 (1) ◽  
pp. 1
Author(s):  
L. Buchori ◽  
Y. Bindar ◽  
D. Sasongko ◽  
IGBN Makertihartha
Keyword(s):  
Experimental Data ◽  
Porous Media ◽  
Fluid Flow ◽  
Velocity Profile ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Flow Model ◽  
Flow In Porous Media ◽  
Diffusion And Convection ◽  
Volume Method

Generally, the momentum equation of fluid flow in porous media was solved by neglecting the terms of diffusion and convection such as Ergun, Darcy, Brinkman and Forchheimer models. Their model primarily applied for laminar flow. It is true that these model are limited to condition whether the models can be applied. Analytical solution for the model type above is available only for simple one-dimensional cases. For two or three-dimentional problem, numerical solution is the only solution. This work advances the flow model in porous media and provide two-dimentional flow field solution in porous media, which includes the diffusion and convection terms. The momentum lost due to flow and porous material interaction is modeled using the available  Brinkman-Forchheimer equation. The numerical method to be used is finite volume method. This method is suitable for the characteristic of fluid  flow in porous media which is averaged by a volume base. The effect of the solid and fluid interaction in porous  media is the basic principle of the flow model in morous media. The Brinkman-Forchheimer consider the momentum lost term to be determined by a quadratic function of the velocity component. The momentum and the continuity equation are solved for two-dimentional cylindrical coordinat . the result were validated with the experimental data. The velocity of the porous media was treated to be radially oscillated. The result of velocity profile inside packing show a good agreement in their trend with the Stephenson and Steward experimental data. The local superficial  velocity attains its global maximum and minimum at distances near 0.201 and 0.57 particle diameter, dp. velocity profile below packing was simulated. The result were validated with Schwartz and Smith experimental data. The result also show an excellent agreement with those experimental data.Keywords : finite volume method, porous media, flow distribution, velocity profile

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