In this work, we study the hydrodynamics, concentration field, and mass transport of species due to an oscillatory electroosmotic flow that obeys a power law. An additional aspect that is considered in the analysis corresponds to the effect of the slippage condition at the walls of the microchannel. The governing equations that describe the involved phenomena are the following: equation of Poisson–Boltzmann for the electrical potential in the electric double layer, the momentum equation, and the species transport equation. These equations were simplified with the aid of the lubrication theory and were numerically solved by using a conventional finite difference scheme. Our results suggest that, under the slippage effects, the best conditions can be promoted for the mass transport of species for different values of the Schmidt number and Womersley numbers less than unity, and even it is maximized up to two orders of magnitude when \({\text {Wo}}>1\). In the analysis, the cross-over phenomenon appears for the mass transport for different species and it is identified for both Newtonian and non-Newtonian fluids. For shear-thinning fluids with slippage at the microchannel walls, the cross-over phenomenon occurs, and the species with less diffusivity can be transported up to ten times faster in comparison with Newtonian fluids when the no-slip effect is considered.

在这项工作中，我们研究由于服从幂律的振荡电渗流而引起的流体动力学，浓度场和物质的质量迁移。分析中考虑的其他方面与微通道壁上的滑移条件的影响相对应。描述所涉及现象的控制方程式如下：双电层中的电位的泊松-玻尔兹曼方程，动量方程和物质迁移方程。这些方程式借助润滑理论进行了简化，并通过使用常规的有限差分方案进行了数值求解。我们的结果表明，在滑移效应下，\（{\ text {Wo}}> 1 \）。在分析中，交叉现象在不同物种的物质传输中出现，并且已在牛顿流体和非牛顿流体中得到识别。对于在微通道壁上发生滑移的剪切稀化流体，会发生交叉现象，并且当考虑到无滑移效应时，与牛顿流体相比，扩散率较小的物质的传输速度最高可以快十倍。