| Transient electroosmotic flow of general Maxwell fluids through a slit microchannel | |
Jian YJ; Su J; Chang L; Liu QS; He GW(何国威) ; Jian, YJ (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.
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| Source Publication | Zeitschrift Fur Angewandte Mathematik Und Physik
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| 2014-06 | |
| Volume | 65Pages:435-447 |
| ISSN | 0044-2275 |
| Abstract | 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. |
| Keyword | Electric Double Layer (Edl) Unsteady Electroosmotic Flow (Eof) Maxwell Fluids Micro-parallel Plates Laplace Transform |
| Subject Area | Mathematics |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000337156400002 |
| Funding Organization | 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). |
| Department | LNM湍流 |
| Classification | 二类/Q2 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/48885 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Jian, YJ (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China. |
| Recommended Citation 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,&Jian, YJ .(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. |
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