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Journal of Porous Media
Fator do impacto: 1.752 FI de cinco anos: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.2015013088
pages 1021-1029

EFFECTS OF DIELECTRIC PERMITTIVITY OF SOLID STRUCTURE ON ELECTRO-OSMOTIC PERMEABILITY IN POROUS MEDIA

Li Zhang
Department of Engineering Mechanics and CNMM, Tsinghua University, Beijing 100084, China
Moran Wang
Department of Engineering Mechanics and CNMM, Tsinghua University, Beijing 100084, China

RESUMO

For modeling electro-osmosis in porous media in previous studies, there have been two popular approaches used to obtain the electrostatic force, which is dependent on the local strength of the applied electrical field. One approach was to apply a constant electrical field strength, which actually assumes the dielectric permittivity of the solid structure is the same as that of liquid. The other method treated solid materials as an ideal dielectric with zero permittivity. However, both approaches are questionable since the solid permittivity, in practice, is neither the same as that of liquid nor is it equal to zero. In this paper, we derive a modified model for electro-osmotic flows in the whole domain based on the Poisson−Boltzmann model and solve the Poisson equation with discontinuous properties in order to acquire the local electrical field strength by the lattice Boltzmann method. The results show that electro-osmotic permeability decreases with the dielectric permittivity of solid structures. Predictions by assuming constant electrical field strength underestimate the electro-osmotic permeability, while it will lead to overestimated values by leaving the solid as an ideal dielectric.


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