Transient electroosmotic flow of general Maxwell fluids through a slit microchannel
文献类型：期刊论文
| 作者 | Jian YJ; Su J; Chang L; Liu QS; He GW(何国威)
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| 刊名 | Zeitschrift Fur Angewandte Mathematik Und Physik
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| 出版日期 | 2014-06 |
| 卷号 | 65页码:435-447 |
| 通讯作者邮箱 | jianyongjun@yahoo.com.cn; suolunga@163.com; hgw@lnm.imech.ac.cn |
| 关键词 | Electric double layer (EDL) Unsteady electroosmotic flow (EOF) Maxwell fluids Micro-parallel plates Laplace transform |
| ISSN号 | 0044-2275 |
| 产权排序 | [Jian, Yongjun; Su, Jie; Chang, Long; Liu, Quansheng] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China; [Chang, Long] Inner Mongolia Univ Finance & Econ, Sch Math & Stat, Hohhot 010051, Peoples R China; [He, Guowei] Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100080, Peoples R China |
| 通讯作者 | Jian, YJ (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China. |
| 中文摘要 | Using Laplace transform method, semi-analytical solutions are presented for transient electroosmotic flow of Maxwell fluids between micro-parallel plates. The solution involves solving the linearized Poisson-Boltzmann equation, together with the Cauchy momentum equation and the Maxwell constitutive equation considering the depletion effect produced by the interaction between macro-molecules of the Maxwell fluids and the channel surface. The overall flow is divided into depletion layer and bulk flow outside of depletion layer. In addition, the Maxwell stress is incorporated to describe the boundary condition at the interface. The velocity expressions of these two layers were obtained respectively. By numerical computations of inverse Laplace transform, the influences of viscosity ratio mu, density ratio rho, dielectric constant ratio of layer II to layer I, relaxation time , interface charge density jump Q, and interface zeta potential difference on transient velocity amplitude are presented. |
| 学科主题 | Mathematics |
| 分类号 | 二类/Q2 |
| 收录类别 | SCI ; EI |
| 资助信息 | The work was supported by the National Natural Science Foundation of China (Grant Nos. 11062005, 11202092), Opening fund of State Key Laboratory of Nonlinear Mechanics, the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No. NJYT-13-A02), the Natural Science Foundation of Inner Mongolia (Grant Nos. 2010BS0107, 2012MS0107), the research start-up fund for excellent talents at Inner Mongolia University (Grant No. Z20080211), the support of Natural Science Key Fund of Inner Mongolia (Grant No. 2009ZD01), the Innovative programs funded projects of Postgraduate Education in Inner Mongolia Autonomous Region, and Inner Mongolia University of enhancing the comprehensive strength funding (Grant No. 1402020201). |
| 原文出处 | http://dx.doi.org/10.1007/s00033-013-0341-1 |
| 语种 | 英语 |
| WOS记录号 | WOS:000337156400002 |
| 公开日期 | 2014-07-17 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/48885]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 推荐引用方式 GB/T 7714 | Jian YJ,Su J,Chang L,et al. Transient electroosmotic flow of general Maxwell fluids through a slit microchannel[J]. Zeitschrift Fur Angewandte Mathematik Und Physik,2014,65:435-447. |
| APA | Jian YJ,Su J,Chang L,Liu QS,&何国威.(2014).Transient electroosmotic flow of general Maxwell fluids through a slit microchannel.Zeitschrift Fur Angewandte Mathematik Und Physik,65,435-447. |
| MLA | Jian YJ,et al."Transient electroosmotic flow of general Maxwell fluids through a slit microchannel".Zeitschrift Fur Angewandte Mathematik Und Physik 65(2014):435-447. |
入库方式： OAI收割
来源：力学研究所
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