Effective diffusion coefficients in square arrays of filament bundles

Transvalidou, Faye; Sotirchos, Stratis V.

doi:10.1002/aic.690420904

Cited by 15 publications

(12 citation statements)

References 24 publications

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“…Furthermore, the MC method has been used to gain a representation of the structure of porous media and the associated effective properties (see [22][23][24][25][26][27][28][29]). Some of the MC models also focus on the determination of general parameters of porous media, e.g.…”

Section: Nano-and Microscopic Modelsmentioning

confidence: 99%

“…Some of the MC models also focus on the determination of general parameters of porous media, e.g. in [28] and [29], the MC simulation is used to compute the effective diffusivities in randomly overlapping fibres and filament bundles representing a porous medium. Further articles especially focus on fuel cell topics: in [26], electrical conduction aspects are examined, in [27], the MC method is used to generate the geometry for a lattice Boltzmann calculation of the permeability.…”

Section: Nano-and Microscopic Modelsmentioning

confidence: 99%

See 1 more Smart Citation

Estimation of water distribution and degradation mechanisms in polymer electrolyte membrane fuel cell gas diffusion layers using a 3D Monte Carlo model

Seidenberger

Wilhelm

Schmitt

et al. 2011

Journal of Power Sources

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Section: Nano-and Microscopic Modelsmentioning

confidence: 99%

Section: Nano-and Microscopic Modelsmentioning

confidence: 99%

Estimation of water distribution and degradation mechanisms in polymer electrolyte membrane fuel cell gas diffusion layers using a 3D Monte Carlo model

Seidenberger

Wilhelm

Schmitt

et al. 2011

Journal of Power Sources

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“…tionship only applies in the hypothesis of finite horizon in void space; in the converse case, the e↵ective di↵usion coe cient obtained by relations (17-18) slowly diverges with time[38]. Finally, since the heat capacity is always obtained by the rule of mixtures, a…”

mentioning

confidence: 98%

A hybrid random walk method for the simulation of coupled conduction and linearized radiation transfer at local scale in porous media with opaque solid phases

Vignoles

2016

International Journal of Heat and Mass Transfer

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International audienceHeat transfer properties from ambient up to extremely high temperatures are a key feature of advanced thermal protection and thermal exchange materials – like ceramic foams or fiber assemblies. Because of their porous nature, heat transfer rests not only on conduction in opaque solids and on convection in pores, but also on radiation trough pores. The precise knowledge of the thermal behavior of these materials in these conditions is an issue. In a ”virtual material” framework, we present a computational simulation tool for heat transfer in such materials, combining solid-phase conduction and linearized radiative transfer in open or closed radiating cavities with opaque interfaces. The software is suited to working in large 3D blocks as produced e. g. by X-ray CMT or by image synthesis. An original Monte-Carlo Mixed Random Walks scheme accounting for both diffusion and radiation is presented and validated. The application to a real image of a fibrous medium is described and discussed, principally in terms of the influence of the diffusion/radiation ratio on the effective (large-scale) diffusivity tensor

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“…Our model empirically models

D (ω)

to estimate similar parameters. There is also much work on the calculation of tortuosity for many geometries [in two dimensions with cylinders and random shapes and in three dimensions ] and relating it to microstructure. Our work, which aims instead to relate the whole of

D (ω)

to microstructure, can provide more information than tortuosity would alone.…”

Section: Discussionmentioning

confidence: 99%

A model for extra‐axonal diffusion spectra with frequency‐dependent restriction

Lam

Jbabdi

Miller

2014

Magnetic Resonance in Med

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PurposeIn the brain, there is growing interest in using the temporal diffusion spectrum to characterize axonal geometry in white matter because of the potential to be more sensitive to small pores compared to conventional time-dependent diffusion. However, analytical expressions for the diffusion spectrum of particles have only been derived for simple, restricting geometries such as cylinders, which are often used as a model for intra-axonal diffusion. The extra-axonal space is more complex, but the diffusion spectrum has largely not been modeled. We propose a model for the extra-axonal space, which can be used for interpretation of experimental data.Theory and MethodsAn empirical model describing the extra-axonal space diffusion spectrum was compared with simulated spectra. Spectra were simulated using Monte Carlo methods for idealized, regularly and randomly packed axons over a wide range of packing densities and spatial scales. The model parameters are related to the microstructural properties of tortuosity, axonal radius, and separation for regularly packed axons and pore size for randomly packed axons.ResultsForward model predictions closely matched simulations. The model fitted the simulated spectra well and accurately estimated microstructural properties.ConclusionsThis simple model provides expressions that relate the diffusion spectrum to biologically relevant microstructural properties. Magn Reson Med 73:2306–2320, 2015. © 2014 The authors. Magnetic Resonance in Medicine Published by Wiley Periodicals, Inc. on behalf of International Society of Medicine in Resonance.

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Effective diffusion coefficients in square arrays of filament bundles

Cited by 15 publications

References 24 publications

Estimation of water distribution and degradation mechanisms in polymer electrolyte membrane fuel cell gas diffusion layers using a 3D Monte Carlo model

Estimation of water distribution and degradation mechanisms in polymer electrolyte membrane fuel cell gas diffusion layers using a 3D Monte Carlo model

A hybrid random walk method for the simulation of coupled conduction and linearized radiation transfer at local scale in porous media with opaque solid phases

A model for extra‐axonal diffusion spectra with frequency‐dependent restriction

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