In this paper, electrokinetic flow of Newtonian fluids with pressure-dependent viscosity through a nanoslit is investigated. Under the assumption of unidirectional steady flow, taking the dimensionless pressure-viscosity coefficient ɛ as a small parameter, the asymptotic analytical solutions of velocity and pressure up to second order in ɛ, streaming potential and electrokinetic energy conversion (EKEC) efficiency are obtained based on the assumption that the viscosity has a linear dependence on the pressure in a high pressure. It is shown that the pressure-dependent viscosity slightly enhances the streaming potential and electrokinetic power output in smaller electrokinetic width K, which implies that more output electrical energy can be utilized to an external load. The increase of dimensionless pressure-viscosity coefficient could cause a decrease in electrokinetic energy conversion (EKEC) efficiency. However, it could cause an increase in pressure required to drive the flow. Last, within the given parametric regions, the maximum EKEC efficiency for different pressure-viscosity coefficients obtained is about 14% in present analysis.

在本文中，研究了具有压力相关粘度的牛顿流体通过纳米狭缝的电动流动。下单向稳流的假设，以无量纲压力粘度系数ɛ作为一个小的参数，渐近速度和压力高达二阶解析解ɛ，泳动电势和动电能量转换（EKEC）效率得到基于假设粘度在高压下与压力呈线性关系。结果表明，在较小的电动宽度K下，压力相关粘度略微增强了流动电位和电动功率输出，这意味着可以将更多的输出电能用于外部负载。无量纲压力-粘度系数的增加会导致电动能转换 (EKEC) 效率的降低。但是，它可能会导致驱动流动所需的压力增加。最后，在给定的参数区域内，在目前的分析中，获得的不同压力-粘度系数的最大 EKEC 效率约为 14%。