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首页> 外文期刊>Journal of porous media >EFFECTS OF DIELECTRIC PERMITTIVITY OF SOLID STRUCTURE ON ELECTRO-OSMOTIC PERMEABILITY IN POROUS MEDIA
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EFFECTS OF DIELECTRIC PERMITTIVITY OF SOLID STRUCTURE ON ELECTRO-OSMOTIC PERMEABILITY IN POROUS MEDIA

机译：固体结构介电常数对多孔介质电渗渗透率的影响

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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.
机译：在先前的研究中，为了模拟多孔介质中的电渗，已经有两种流行的方法用于获得静电力，这取决于所施加电场的局部强度。一种方法是施加恒定的电场强度，实际上假定固体结构的介电常数与液体的介电常数相同。另一种方法将固体材料视为具有零介电常数的理想电介质。但是，这两种方法都是有问题的，因为在实践中，固体电容率既不与液体相同，也不等于零。在本文中，我们基于Poisson-Boltzmann模型推导了整个域的电渗流修正模型，并求解了具有不连续性质的Poisson方程，以便通过晶格Boltzmann方法获得局部电场强度。结果表明，电渗渗透率随固体结构的介电常数降低。通过假设恒定的电场强度进行的预测会低估电渗渗透率，而通过将固体保留为理想的电介质，则会导致高估值。

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