中文摘要：

研究了微平行管道内非牛顿流体——Eyring流体在外加电场力和压力作用下的电渗流动.在考虑微尺度效应,电场作用,非牛顿特性,滑移边界等情况下,建立Eyring流体在微平行管道内电渗流动的力学模型.通过解线性Possion-Boltzmann方程和Cauchy动量方程,给出Eyring流体速度分布的精确解和近似解析解,并探讨了上述因素对电渗流动的影响.将电场力和压力对于Eyring流体电渗流动的速度分布的影响进行了比较分析,得到有意义的结果.

英文摘要：

The electro-osmotic flow of a non-Newtonian fluid in a slit micro-channel under the Navier’s slip boundary condition is investigated. The Eyring constitutive relationship model is adopted to describe the non-Newtonian characteristics of the flow driven by the applied electric field force and pressure. In consideration of the micro-scale effects, electric field, non-Newtonian behavior and slip boundary condition, a mechanical model is built and the effects of these factors on the flow are studied. Analytical expressions are derived for the electric potential and velocity profile by solving the linearized Poisson-Boltzmann equation and the modified Cauchy equation. Approximate expressions of the velocity distribution are also given and discussed. Furthermore, by comparing the effects of electric force with that of pressure on the velocity distribution, some meaningful conclusions are drawn from the obtained graphics.