In this article, we have discussed extensively electrokinetic ion transport and fluid flow through a slit polymer-grafted nanochannel filled with power-law fluid. The rigid walls of the channel are coated with the ion and fluid penetrable polymer layer containing a pH-regulated zwitterionic functional group (e.g., succinoglycan). The mathematical model is based on the non-linear Poisson–Boltzmann equation for electric double layer potential and the flow field within the polymer layer is governed by a modified Darcy–Brinkman equation; the Cauchy momentum equation governs the fluid flow outside of the polymer layer along with the equation of continuity for incompressible fluid. In order to consider a wide range of pertinent parameters, we adopt a finite difference based numerical tool to solve the coupled set of governing equations. We have analyzed several interesting features of electrokinetic transport phenomena through such a polymer-grafted nanochannel for a wide range of electrostatic and hydrodynamic properties of the polymer layer, parameters describing the non-Newtonian rheology of the background fluid, and the pH and concentration of the bulk electrolyte. In addition, we have also illustrated the ionic current across the undertaken nanochannel and observed that it can be either cation selective, anion selective or non-selective, depending on the critical choice of the pertinent parameters.

中文翻译：

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电动离子传输和流体在充满幂律流体的pH值调节的聚合物接枝纳米通道中流动。

在本文中，我们广泛讨论了电动离子传输和流体流经填充幂律流体的狭缝聚合物接枝纳米通道的过程。通道的刚性壁上涂有包含pH调节的两性离子官能团（例如，，琥珀糖）。该数学模型基于双电层电势的非线性Poisson-Boltzmann方程，聚合物层内的流场由修正的Darcy-Brinkman方程控制。Cauchy动量方程式控制聚合物层外部的流体流动，以及不可压缩流体的连续性方程式。为了考虑广泛的相关参数，我们采用基于有限差分的数值工具来求解耦合的控制方程组。我们已经分析了通过这种聚合物接枝的纳米通道产生的电动迁移现象的几个有趣特征，这些现象对于聚合物层具有广泛的静电和流体动力学特性，参数描述了背景流体的非牛顿流变学特性，以及整体电解质的pH值和浓度。此外，我们还说明了跨已采取的纳米通道的离子流，并观察到它可以是阳离子选择性，阴离子选择性或非选择性的，具体取决于相关参数的关键选择。