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首页> 外文期刊>International Journal of Heat and Mass Transfer >An analytical permeability model for power-law fluids in porous fibrous media with consideration of electric double layer
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An analytical permeability model for power-law fluids in porous fibrous media with consideration of electric double layer

机译：考虑双电层的幂律流体在多孔纤维介质中的解析渗透模型

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This work studies the permeability of power-law fluids in porous fibrous media with electrokinetic effects. By solving the linearized Poisson-Boltzmann and Navier-Stokes equations, we get the analytical solutions of pressure driven flow of power-law fluids in a microcapillary with electric double layer (EDL). The flow rate in a single capillary, combining with the fractal model of pore distribution of fractures in naturally fractured porous media, deduces the total flow rate. Then the analytical result of effective permeability for power-law fluids with EDL effects is derived as a function of the porosity, the flow behavior index and a dimensionless number derived from the solid surface zeta potential and maximum pore radius. The present results show that the EDL effects as well as other variable parameters may greatly influence the effective permeability of the power-law fluids in porous fibrous media: the larger the porosity, the higher the effective permeability; the larger the maximum pore radius, the higher the effective permeability; the higher the solid surface zeta potential, the more the EDL effects; the more the EDL effects, the lower the effective permeability. Comparing the effective permeability produced by different flow behavior indexes, we further illustrate that the EDL has virtually no effects when the flow behavior index is great than 1, moderate effects when equal to 1, and very significant effects when less than 1. Therefore the EDL effects may provide strong constraints on evaluation of the effective permeability of the shear thinning fluids rather than the shear thickening and Newtonian fluids.
机译：这项工作研究了幂律流体在具有电动效应的多孔纤维介质中的渗透性。通过求解线性化的Poisson-Boltzmann和Navier-Stokes方程，我们获得了带电双层（EDL）的微毛细管中幂律流体的压力驱动流的解析解。单个毛细管中的流速，结合自然裂缝多孔介质中裂缝的孔隙分布的分形模型，可以得出总流速。然后，得出具有EDL效应的幂律流体的有效渗透率的分析结果，取决于孔隙率，流动特性指数以及从固体表面zeta势和最大孔径得出的无因次数。目前的结果表明，EDL效应以及其他可变参数可能会极大地影响幂律流体在多孔纤维介质中的有效渗透率：孔隙率越大，有效渗透率越高；孔隙率越大，有效渗透率越高。最大孔半径越大，有效渗透率越高；固体表面zeta电位越高，EDL效应越大； EDL效应越大，有效磁导率越低。比较不同流动行为指标产生的有效渗透率，我们进一步说明，当流动行为指标大于1时，EDL实际上没有影响，当等于1时，EDL几乎没有影响，而当小于1时，EDL却非常显着。效应可能对剪切稀化流体的有效渗透率评估提供了强有力的约束，而不是对剪切增稠流体和牛顿流体的有效渗透率进行评估。

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