物理学报Issue(17):1-6,6.DOI:10.7498/aps.64.174702
微平行管道内Eyring流体的电渗滑移流动∗
Electro-osmotic slip flow of Eyring fluid in a slit micro channel
摘要
Abstract
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.关键词
Eyring流体/电渗流动/滑移边界/解析解Key words
Eyring fluid/electro-osmotic flow/slip boundary/exact solutions引用本文复制引用
..微平行管道内Eyring流体的电渗滑移流动∗[J].物理学报,2015,(17):1-6,6.基金项目
国家自然科学基金(批准号:11102102,11472161)、山东省自然科学基金(批准号ZR2015AM011)和山东大学自主创新基金(批准号:2013ZRYQ002)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant Nos.11102102,11472161), the Natural Science Foundation of Shandong Province, China (Grant No. ZR2015AM011), and the Independent Innovation Foundation of Shandong University, China (Grant No.2013ZRYQ002) (批准号:11102102,11472161)