Transient electroosmotic flow of general Maxwell fluids through a slit microchannel

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	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.
发表期刊	Zeitschrift Fur Angewandte Mathematik Und Physik
	2014-06
卷号	65 页码:435-447
ISSN	0044-2275
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.
关键词	Electric Double Layer (Edl) Unsteady Electroosmotic Flow (Eof) Maxwell Fluids Micro-parallel Plates Laplace Transform
学科领域	Mathematics
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000337156400002
项目资助者	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).
课题组名称	LNM湍流
论文分区	二类/Q2
引用统计	被引频次：43[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/48885
专题	非线性力学国家重点实验室
通讯作者	Jian, YJ (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.
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,&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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