Abstract Considering the slip boundary condition, the rotating electro-osmotic flow of a third grade fluid in a channel formed by two parallel plates is investigated in the present study. The charge distribution is treated with the Debye–Hückel approximation analytically. Based on the finite difference method, the velocity profile for rotating electro-osmotic flow of third grade fluid is obtained numerically. It is shown that the non-Newtonian parameter of third grade fluid and the velocity slip factor play the important roles for the rotating electro-osmotic flow. The increasing non-Newtonian parameter slows down the flow and decreases the velocity magnitude, and the increasing slip parameter β has the similar influence on the velocity profile. Furthermore, the effect of the inclusion of third grade on the velocity profile is more conspicuous in the area near the walls.

中文翻译：

---

滑移边界条件下三级流体旋转电渗流的数值研究

摘要 考虑滑移边界条件，本研究研究了三级流体在由两个平行板形成的通道中的旋转电渗流。电荷分布用 Debye-Hückel 近似分析处理。基于有限差分法，数值计算了三级流体旋转电渗流的速度剖面。结果表明，三级流体的非牛顿参数和速度滑移因子对旋转电渗流起着重要作用。增加非牛顿参数会减慢流动速度并降低速度大小，增加滑移参数 β 对速度剖面有类似的影响。此外，