Transient electro-osmotic flow of generalized Maxwell fluids in a straight pipe of circular cross section

被引：28
作者：
Wang, Shaowei [1 ,2 ]
Zhao, Moli [1 ,2 ]
Li, Xicheng [3 ]
机构：
[1] Shandong Univ, Sch Civil Engn, Dept Engn Mech, Jinan 250061, Peoples R China
[2] Shandong Univ, Geotech & Struct Engn Res Ctr, Jinan 250061, Peoples R China
[3] Univ Jinan, Sch Math Sci, Jinan 250100, Peoples R China
来源：
CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2014年 / 12卷 / 06期
基金：
中国国家自然科学基金;
关键词：
transient flow; electro-osmosis flow; Laplace transform; Hankel transform; velocity overshoot; VELOCITY; MICROCHANNELS; NANOCHANNELS; CAPILLARY; MEMBRANES; MODEL;
D O I：
10.2478/s11534-014-0463-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The transient electro-osmotic flow of a generalized Maxwell fluid with fractional derivative in a narrow capillary tube is examined. With the help of an integral transform method, analytical expressions are derived for the electric potential and transient velocity profile by solving the linearized Poisson-Boltzmann equation and the Navier-Stokes equation. It was shown that the distribution and establishment of the velocity consists of two parts, the steady part and the unsteady one. The effects of relaxation time, fractional derivative parameter, and the Debye-Huckel parameter on the generation of flow are shown graphically and analyzed numerically. The velocity overshoot and oscillation are observed and discussed.
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页码：445 / 451
页数：7
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