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Title:
Transient electroosmotic flow of general Maxwell fluids through a slit microchannel
Author: Jian YJ; Su J; Chang L; Liu QS; He GW(何国威)
Source: Zeitschrift Fur Angewandte Mathematik Und Physik
Issued Date: 2014-06
Volume: 65, Pages:435-447
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
Language: 英语
Indexed Type: SCI ; EI
Corresponding Author: Jian, YJ (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.
Correspondent Email: jianyongjun@yahoo.com.cn; suolunga@163.com; hgw@lnm.imech.ac.cn
Related URLs: 查看原文
DOC Type: Article
WOS ID: WOS:000337156400002
ISSN: 0044-2275
Rank: [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
Subject: Mathematics
Department: LNM湍流
Classification: 二类/Q2
Citation statistics:
Content Type: 期刊论文
URI: http://dspace.imech.ac.cn/handle/311007/48885
Appears in Collections:非线性力学国家重点实验室_期刊论文

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Recommended Citation:
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,2014-06-01,65:435-447.
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