Numerical analyses of effective dielectric constant of multiphase microporous media

Wang, Moran; Pan, Ning

doi:10.1063/1.2743738

Cited by 65 publications

(20 citation statements)

References 66 publications

(76 reference statements)

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“…Here we adopt it for reproducing the microstructure of a composite of two solid components, one dispersed into the other continuous matrix, and containing small amount of voids (or air), thus actually a three-phase system [28,29]. Before the generation process, we select the continuous solid phase as the non-growing phase, the dispersed solid as the first growing phase and the voids (or pores) the second growing phase.…”

Section: Structure Reproductionmentioning

confidence: 99%

“…The most important advantages of the LBM are the easy implementations of interparticle interactions and the complex geometry boundary conditions [20,21,28,29], and in general the conservation laws of mass or/and energy can hold automatically without additional computational efforts [33]. Additional scheme dealing with the multiphase conjugate boundary conditions has been developed very recently using the LBM method as well and has shown high computation efficiency [19].…”

Section: The Lattice Boltzmann Algorithmmentioning

confidence: 99%

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Elastic property of multiphase composites with random microstructures

Wang¹,

Pan²

2009

Journal of Computational Physics

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Section: Structure Reproductionmentioning

confidence: 99%

Section: The Lattice Boltzmann Algorithmmentioning

confidence: 99%

Elastic property of multiphase composites with random microstructures

Wang¹,

Pan²

2009

Journal of Computational Physics

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“…This topic is very important, since transport in porous media is critical to many areas in science and technology, such as material science, geoscience, agriculture, and even biomedical applications; see the recent works of Wang and his collaborators (Wang and Chen, 2007;Pan, 2007, 2008;Wang et al, 2006). Also the dielectric properties of porous media are of high interest and have been investigated recently by Wang and Pan (2007). In this article, the stability criteria are obtained for both the linear and nonlinear problems.…”

Section: Introductionmentioning

confidence: 97%

Nonlinear Kelvin-Helmholtz Instability of Two Superposed Dielectric Finite Fluids in Porous Medium Under Vertical Electric Fields

El-Sayed

Moatimid

Metwaly

2010

Chemical Engineering Communications

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A weakly nonlinear theory of wave propagation in two superposed dielectric fluids streaming through porous media in the presence of vertical electric field and in the absence of surface charges at their interface is investigated in three dimensions. The method of multiple scales is used to obtain a dispersion relation for the linear problem and a Ginzburg-Landau equation with complex coefficients for the nonlinear problem, describing the behavior of the system. The stability of the system is discussed both analytically and numerically in both cases, and the corresponding stability conditions are obtained. It is found, in the linear case, that the stability criterion is independent of the medium permeability and that the medium porosity, surface tension, and dimension all have stabilizing effects the fluid viscosities, velocities, and depths have destabilizing effects, and the electric field has a dual role in the stability of the system. In the nonlinear analysis, it is found that the electric field has a stabilizing effect in two-dimensional disturbances and destabilizing effect in three-dimensional disturbances cases. The surface tension, fluid depths, and medium porosity have stabilizing effects in both two-and three-dimensional disturbance cases and the fluid viscosities, velocities, and medium permeability have destabilizing effects in both cases, and this stability or instability occurs faster for threedimensional disturbance cases. It is found also that the system is unstable in the absence of fluid velocities or for nonporous media. Finally, the dimension was found to have a dual role (stabilizing as well as destabilizing) in the considered system, while it has a destabilizing effect in the case of nonporous media.

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“…17 Microscope pore structures and dynamic mass transport characteristics of the reconstructed porous media were characterized by the parameters of pore size distribution and fractal spectral dimension, respectively. Water vapor diffusion processes in different microscope pore structures were simulated.…”

Section: Introductionmentioning

confidence: 99%

Pore Structure Reconstruction and Moisture Migration in Porous Media

Zheng

Shi

et al. 2014

Fractals

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Three kinds of porous media (isotropic, perpendicular anisotropic and parallel anisotropic porous media) with the same porosity, different pore size distributions and fractal spectral dimensions were reconstructed by random growth method. It was aimed to theoretically study the impact of microscopic pore structure on water vapor diffusion process in porous media. The results show that pore size distribution can only denote the static characteristics of porous media but cannot effectively reflect the dynamic transport characteristics of porous media. Fractal spectral dimension can effectively analyze and reflect pores connectivity and moisture dynamic transport properties of porous media from the microscopic perspective. The pores connectivity and water vapor diffusion performance in pores of porous media get better with the increase of fractal spectral dimension of porous media. Fractal spectral dimension of parallel anisotropic porous media is more than that of perpendicular anisotropic porous media. Fractal spectral dimension of isotropic porous media is between parallel anisotropic porous media and perpendicular anisotropic porous media. Other macroscopic parameters such as equilibrium diffusion coefficient of water vapor, water vapor concentration variation at right boundary ‡ Corresponding author. 1440007-1 Fractals 2014.22. Downloaded from www.worldscientific.com by YALE UNIVERSITY on 12/29/14. For personal use only. J. Zheng et al.in equilibrium, the time when water vapor diffusion process reaches a stable state also can characterize the pores connectivity and water vapor diffusion properties of porous media.

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Numerical analyses of effective dielectric constant of multiphase microporous media

Cited by 65 publications

References 66 publications

Elastic property of multiphase composites with random microstructures

Elastic property of multiphase composites with random microstructures

Nonlinear Kelvin-Helmholtz Instability of Two Superposed Dielectric Finite Fluids in Porous Medium Under Vertical Electric Fields

Pore Structure Reconstruction and Moisture Migration in Porous Media

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