We have studied the electroosmotic flow (EOF) of a non-Newtonian viscoplastic fluid, modeled as a Herschel-Bulkley (H-B) fluid, through a single hydrophobic nanopore in a uniformly charged solid hydrophobic membrane separating two identical reservoirs. An interfacial slip velocity develops when the viscoplastic fluid is strained over a hydrophobic surface. It is well established in the context of Newtonian fluid that the interfacial slip at the charged surface augments the EOF. For the viscoplastic fluid, the EOF depends on the fluid behavioral index and the yield stress. We have illustrated the impact of the interfacial slip on the EOF, conductance and ion selectivity of the cylindrical nanopore at different yield stresses for both the shear thinning and the shear thickening cases of the H-B fluid. The slip velocity, characterized by the slip length, enhances the average flow and conductance of the pore and this impact is pronounced for the shear thinning case. The unyielded zone, which develops along the central line of the pore, contracts as the slip length is increased. The ion concentration polarization enhances for the shear thinning fluid, however, the slip length creates a marginal increment. The counterion selectivity of the pore is found to be significant for the Newtonian case as compared to the non-Newtonian fluid and the velocity slip enhances the ion selectivity further. We have determined an analytic solution for the EOF of a power-law fluid in a long hydrophobic tube. Our computed solution for the case of a long tube effectively coincides with this analytic solution. An increment in the pore length reduces its conductance but enhances the ion selectivity. The increment of the average EOF for the hydrophobic pore as compared to the no-slip case grows as the pore length is increased.

我们研究了一种非牛顿粘塑性流体的电渗流 (EOF)，该流体模拟为 Herschel-Bulkley (HB) 流体，通过一个均匀带电的固体疏水膜中的单个疏水纳米孔，将两个相同的水库分开。当粘塑性流体在疏水表面上应变时，会产生界面滑移速度。在牛顿流体的背景下，带电表面的界面滑移增强了 EOF 已得到充分证实。对于粘塑性流体，EOF 取决于流体行为指数和屈服应力。我们已经说明了在 HB 流体的剪切稀化和剪切增稠情况下，在不同屈服应力下，界面滑移对圆柱形纳米孔的 EOF、电导和离子选择性的影响。滑移速度，以滑移长度为特征，增强了孔隙的平均流动和电导率，这种影响在剪切稀化情况下尤为明显。沿孔隙中心线发展的未屈服区随着滑动长度的增加而收缩。剪切稀化流体的离子浓度极化增强，然而，滑移长度产生了边际增量。与非牛顿流体相比，发现孔隙的反离子选择性对于牛顿情况是显着的，并且速度滑移进一步提高了离子选择性。我们已经确定了长疏水管中幂律流体 EOF 的解析解。我们对长管情况的计算解与该解析解有效地重合。孔长度的增加会降低其电导率，但会提高离子选择性。与防滑情况相比，疏水孔的平均 EOF 的增量随着孔长度的增加而增加。