摘要
采用耦合的Poisson-Nernst-Planck(PNP)方程和Navier-Stokes(NS)方程,研究二维狭窄微通道行波电场电渗流数值解。将计算结果与普遍采用的滑移边界近似解进行了比较。结果表明:在边界滑移模型适用的范围内,两种算法具有较好的一致性,从而验证了耦合PNP方程算法的正确性;当双电层厚度较大、行波信号幅值较大时,采用耦合PNP方程更为合理。
Based on the NP equation for ion transport,NS equation for liquid flow and Poisson equation for electric potential,a numerical analysis was carried out to investigate the traveling-wave electroosmotic flow.A comparison of numerical solution using the PNP equations and approximate approach based on slip velocity boundary was made.The correctness of numerical simulation based on the PNP equations was verified.A mathematical model based on PNP equations should predict the qualitative and the quantitative behavior of traveling-wave electroosmotic flow more precisely in a much broader parameter range.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2012年第5期590-594,共5页
China Mechanical Engineering
基金
国家自然科学基金资助项目(10872076
50805059)
关键词
行波电渗流
滑移边界
PNP方程
NS方程
traveling-wave electroosmosis flow
slip boundary condition
Poisson-Nernst-Planck（PNP） equation
Navier-Stokes（NS） equations
