环形微管道间Maxwell流体的周期电渗流动
首发时间:2012-09-06
摘要:本文研究了环形微管道内线性粘弹性流体的周期电渗流动(Electroosmotic flow,EOF),其中线性粘弹性流体的本构关系是由Maxwell流体模型来描述.利用分离变量法,求解了线性Poisson-Boltzmann(P-B)方程,柯西动量方程和Maxwell流体本构方程.给出了Maxwell流体电渗速度的解析表达式.结果表明:对给定的K、β、α, 较低的Re和较短的λ1ω,经典Helmholtz- Smoluchowski速度剖面会出现.对于给定λ1ω,增加Re将会导致EOF速度剖面的快速振动.与此同时,EOF速度剖面的振幅逐渐减小.随着Re的增加远离圆柱壁面的两个EDL以外速度的振幅越来越少并趋于零.对于给定Re,增加λ1ω导致EOF的速度剖面在外加电场的作用下更加容易地振荡,速度剖面更快速地振动。
关键词: EDL 周期EOF 广义Maxwell流体 环形微管道 振荡雷诺数 弛豫时间
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generalized Maxwell fluids between two micro-Circular Cylinders
Abstract:In this paper, analytical solutions are presented for the time periodic Electroosmotic flow (EOF) flow of linear viscoelastic fluids between micro-Circular Cylinders. The linear viscoelastic fluids used here are described by the general Maxwell model. The solution involves analytically solving the linear Poisson-Boltzmann (P-B) equation, together with the Cauchy momentum equation and the general Maxwell constitutive equation. And we obtained the analytical expression of Maxwell fluid electroosmotic velocity. Results show that the typical Helmholtz-Smoluchowski velocity profile will be occurred, for given K, β, α, lower Re and shorter λ1ω. For given λ1ω and the increasing Re will lead to the EOF velocity profile vibrating quickly and at the same time the amplitude of EOF velocity reduced gradually. Along with the increase of Re, the amplitudes of velocity which except the two EDL far away from surface of cylinder becomes more and more small and tend to zero. The given Re and increasing λ1ω lead to the EOF velocity profile becomes very easy to change under the applied electric, the velocity profile vibrating rapidly more.
Keywords: EDL Time periodic EOF Generalized Maxwell fluids Micro-Circular Cylinders Oscillating Reynolds number Relaxation times
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