Zhao Cunlu, Zholkovskij Emilijk, Masliyah Jacob H, Yang Chun
School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798 Singapore.
J Colloid Interface Sci. 2008 Oct 15;326(2):503-10. doi: 10.1016/j.jcis.2008.06.028. Epub 2008 Jun 19.
Electroosmotic flow of power-law fluids in a slit channel is analyzed. The governing equations including the linearized Poisson-Boltzmann equation, the Cauchy momentum equation, and the continuity equation are solved to seek analytical expressions for the shear stress, dynamic viscosity, and velocity distribution. Specifically, exact solutions of the velocity distributions are explicitly found for several special values of the flow behavior index. Furthermore, with the implementation of an approximate scheme for the hyperbolic cosine function, approximate solutions of the velocity distributions are obtained. In addition, a generalized Smoluchowski velocity is introduced by taking into account contributions due to the finite thickness of the electric double layer and the flow behavior index of power-law fluids. Calculations are performed to examine the effects of kappaH, flow behavior index, double layer thickness, and applied electric field on the shear stress, dynamic viscosity, velocity distribution, and average velocity/flow rate of the electroosmotic flow of power-law fluids.
分析了幂律流体在狭缝通道中的电渗流。求解包括线性化泊松 - 玻尔兹曼方程、柯西动量方程和连续性方程在内的控制方程，以寻求剪切应力、动态粘度和速度分布的解析表达式。具体而言，针对流动行为指数的几个特殊值明确找到了速度分布的精确解。此外，通过对双曲余弦函数实施近似方案，获得了速度分布的近似解。另外，考虑到电双层的有限厚度和幂律流体的流动行为指数的贡献，引入了广义的斯莫卢霍夫斯基速度。进行计算以研究κH、流动行为指数、双层厚度和外加电场对幂律流体电渗流的剪切应力、动态粘度、速度分布以及平均速度/流量的影响。
