Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition

doi:10.1007/s10483-014-1822-6

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (6): 689-696.doi: https://doi.org/10.1007/s10483-014-1822-6

Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition

谭臻¹, 齐海涛², 蒋晓芸¹

1. School of Mathematics, Shandong University, Jinan 250100, P. R. China;
2. School of Mathematics and Statistics, Shandong University, Weihai 264209, Shandong Province, P. R. China

收稿日期:2013-11-07 修回日期:2013-12-16 出版日期:2014-06-01 发布日期:2014-06-01
通讯作者: Hai-tao QI, Professor, Ph.D., E-mail: htqi@sdu.edu.cn E-mail:htqi@sdu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11102102 and 91130017) and the Independent Innovation Foundation of Shandong University (No. 2013ZRYQ002)

Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition

Zhen TAN¹, Hai-tao QI², Xiao-yun JIANG¹

1. School of Mathematics, Shandong University, Jinan 250100, P. R. China;
2. School of Mathematics and Statistics, Shandong University, Weihai 264209, Shandong Province, P. R. China

Received:2013-11-07 Revised:2013-12-16 Online:2014-06-01 Published:2014-06-01
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11102102 and 91130017) and the Independent Innovation Foundation of Shandong University (No. 2013ZRYQ002)

摘要/Abstract

摘要：

In consideration of the electroosmotic flow in a slit microchannel, the con-stitutive relationship of the Eyring fluid model is utilized. Navier's slip condition is used as the boundary condition. The governing equations are solved analytically, yielding the velocity distribution. The approximate expressions of the velocity distribution are also given and discussed. Furthermore, the effects of the dimensionless parameters, the electrokinetic parameter, and the slip length on the flow are studied numerically, and appropriate conclusions are drawn.

关键词: electroosmotic flow, slip boundary, Eyring fluid model, stability, multi-scale perturbation method, bifurcation frominfinity, electric double layer, microfluidics

Abstract:

Key words: slip boundary, stability, multi-scale perturbation method, bifurcation frominfinity, microfluidics, electric double layer, electroosmotic flow, Eyring fluid model

中图分类号:

O373

谭臻;齐海涛;蒋晓芸. Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(6): 689-696.

Zhen TAN;Hai-tao QI;Xiao-yun JIANG. Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(6): 689-696.

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Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition

Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition

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