Alternating current electroosmotic flow of the Jeffreys fluids through a slit microchannel

Alternating current electroosmotic flow of the Jeffreys fluids through a slit microchannel
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Jeffreys 流体通过狭缝微通道的交流电渗流

DOI:
10.1063/1.3640082
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发表时间:
2011-10-01
期刊:
影响因子:
4.6
通讯作者:
Yang, Liangui
Yang, Liangui
中科院分区:
工程技术2区
文献类型:
--
作者:
Liu, Quansheng;Jian, Yongjun;Yang, Liangui

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Using the method of separation of variables, semi-analytical solutions are presented for the time periodic EOF flow of linear viscoelastic fluids between micro-parallel plates. The linear viscoelastic fluids used here are described by the Jeffreys model. The solution involves solving the Poisson-Boltzmann (PB) equation, together with the Cauchy momentum equation and the Jeffreys constitutive equation considering the depletion effect produced by the interaction between macro-molecules of the Jeffreys fluid and the channel surface. The overall flow is divided into depletion layer and bulk flow outside of depletion layer. The velocity expressions of these two layers were obtained, respectively. By numerical computations, the influence of oscillating Reynolds number, Re, normalized retardation time, lambda(2)omega, and normalized wall zeta potential, (psi) over bar (w), on velocity amplitude is presented. Results show that the magnitude of the velocity amplitude becomes smaller with the increase of retardation time for small and intermediate Re. For large Re, the velocity is almost unchanged near the EDL with retardation time. Moreover, high zeta potential results in larger the magnitude of EOF velocity no matter whether the Re is large or not, especially within the depletion layer. (C) 2011 American Institute of Physics. [doi:10.1063/1.3640082]