Analytical determination of permeability of porous fibrous media with consideration of electrokinetic phenomena
Analytical determination of permeability of porous fibrous media with consideration of electrokinetic phenomena
复制标题
考虑动电现象的多孔纤维介质渗透率的分析测定
DOI：
10.1016/j.ijheatmasstransfer.2011.11.026
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发表时间：
2012-02
影响因子：
5.2
通讯作者：
Liao,K.
中科院分区：
文献类型：
--
作者：
Zhu, Q.Y.;Xie, M.H.;Yang, J.;Chen, Y.Q.;Liao,K.
基于线性化的Poisson-Boltzmann方程和Navier-Stokes方程，研究了考虑动电现象的多孔纤维介质中的流动行为。本文导出了多孔纤维介质的有效渗透率与孔隙率、无量纲局部平均净电荷密度和无量纲电阻数的关系的解析解。动电现象的影响可以通过无量纲电阻数来衡量，该电阻数与液体介电常数的平方、固体表面Zeta电位成正比，与液体动态粘度、电导率和最大孔半径的平方成反比。分析结果表明，当无因次电阻数较小时，孔隙率较大时，无因次总流量呈近似均匀分布。当无因次电阻数较大时，双电层（EDL）的阻力效应变得非常显著，从而使表观速度减小。多孔纤维介质的有效渗透率相应地降低。此外，理论预测的有效渗透率值与实验数据进行了比较，两者之间观察到良好的一致性。结果表明，考虑动电现象的多孔纤维介质有效渗透率数学模型是令人满意的。
Flow behavior in porous fibrous media with consideration of electrokinetic phenomena is investigated based on a linearized Poisson–Boltzmann equation and Navier–Stokes equation. An analytical solution of effective permeability of porous fibrous media as functions of porosity, dimensionless local averaging net charge density and dimensionless electric resistance number is derived in this paper. The influences of the electrokinetic phenomena can be measured by the dimensionless electric resistance number, which is proportional to the square of the liquid dielectric constant, the solid surface Zeta potential and inversely proportional to the liquid dynamic viscosity, electric conductivity and the square of the maximum pore radius. The analytical results show that when the dimensionless electric resistance number is small and the porosity is large, the dimensionless total flow rate shows a nearly uniform distribution. When the dimensionless electric resistance number is large, the resistant effects of the electrical double layer (EDL) become so significant that the superficial velocity decreases. The effective permeability of the porous fibrous media decreases correspondingly. Furthermore, the theoretical predicted effective permeability values are compared with experimental data, and good agreement is observed between the two. It shows that the mathematical model for the effective permeability of porous fibrous media with consideration of electrokinetic phenomena is satisfactory.
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影响因子：
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通讯作者：
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