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Poisson-Boltzrnann equation for EDL (electric double layer) and Navier-Stokes equation for liquid flows were numerically solved to investigate resistance effect of electric double layer on liquid flow in microchannel. The dimension analysis indicates that the resistance effect of electric double layer can be estimated by an electric resistance number, which is proportional to the square of the liquid dielectric constant and the solid surface zeta potential, and inverse-proportional to the liquid dynamic viscosity, electric conductivity and the square of the channel width. An "electric current density balancing" (ECDB) condition was proposed to evaluate the flow-induced streaming potential, instead of conventional "electric current balancing" (ECB) condition which may induce spurious local backflow in neighborhood of the solid wall of the microchannel. The numerical results of the flow rate loss ratio and velocity profile are also given to demonstrate the resistance effect of electric double layer in microchannel. 相似文献
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The microfluidic system is a multi-physics interaction field that has attracted great attention. The electric double layers and electroosmosis are important flow-electricity interaction phenomena. This paper presents a thickness-averaged model to solve three-dimensional complex electroosmotic flows in a wide-shallow microchannel/chamber combined (MCC) chip based on the Navier-Stokes equations for the flow field and the Poisson equation to the electric field. Behaviors of the electroosmotic flow, the electric field, and the pressure are analyzed. The quantitative effects of the wall charge density (or the zeta potential) and the applied electric field on the electroosmotic flow rate are investigated. The two-dimensional thickness-averaged flow model greatly simplifies the three-dimensional computation of the complex electroosmotic flows, and correctly reflects the electrookinetic effects of the wall charge on the flow. The numerical results indicate that the electroosmotic flow rate of the thickness-averaged model agrees well with that of the three-dimensional slip-boundary flow model. The flow streamlines and pressure distribution of these two models are in qualitative agreement. 相似文献
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微通道周期流动电位势及电粘性效应 总被引:1,自引:0,他引:1
求解了双电层的Poisson-Boltzmann方程和流体运动的Navier-Stokes方程,得到在周期压差作用下,二维微通道的周期流动电位势,流动诱导电场和液体流动速度的解析解.量纲分析表明,流体电粘性力与以下3个参数有关:1) 电粘性数,它表示定常流动时,通道最大电粘性力与压力梯度的比;2) 形状函数,它表示电粘性力在通道横截面的分布形态; 3) 耦合系数,它表示电粘性力的振幅衰减特征和相位差.分析结果表明,微通道周期流动诱导电场、流动速度与频率Reynolds数有关.在频率Reynolds数小于1时,流动诱导电场随频率Reynolds数变化很慢.在频率Reynolds数大于1时,流动诱导电场随频率Reynolds数的增加快速衰减.在通道宽度与双电层厚度比值较小情况下,电粘性效应对周期流动速度和流动诱导电场有重要影响. 相似文献
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采用数值方法,分析有限长PDMS/玻璃微通道电渗流热效应.数值求解双电层的Poisson-Boltzmann方程,液体流动的Navier-Stokes方程和流-固耦合的热输运方程,分析二维微通道电渗流的温度特性.考虑温度变化对流体特性(介电系数、粘度、热和电传导率)的反馈效应.数值结果表明,在通道进口附近有一段热发展长度,这里的流动速度、温度、压强和电场快速变化,然后趋向到一个稳定状态.在高电场和厚芯片的情况下,热发展长度可以占据相当一部分的微通道.电渗流稳定态温度随外加电场和芯片厚度的增加而升高.由于壁面材料的热特性差异,在稳定态时的PDMS壁面温度比玻璃壁面温度高.研究还发现在微通道的纵向和横向截面有温度变化.壁面温升降低双电层电荷密度.微通道纵向温度变化诱发流体压强梯度和改变微通道电场特性.微通道进流温度不改变热稳定态的温度和热发展长度. 相似文献
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微通道液体流动双电层阻力效应 总被引:3,自引:0,他引:3
采用数值方法求解双电层的Poisson-Boltzmann方程和液体运动的Navier-Stokes方程,研究微通道双电层对压强梯度液体流动的阻力效应. 量纲分析表明,双电层阻力大小可以用一个无量纲的电阻力数表示.它与液体的介电系数、固体表面的zeta电位平方成正比,与液体的动力粘性系数、电导率以及微通道的宽度平方成反比.在计算流动诱导的流动电位势和电阻力时,提出电流密度平衡条件,可以消除传统电流平衡条件导致的固壁附近产生局部回流的不合理物理现象.还给出不同电阻力数的微通道流量、流量损失率、速度剖面的数值结果,合理解释了双电层对微通道液体流动的阻力效应. 相似文献
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NUMERICAL STUDY OF PERIODICAL FLOWS OF PIEZOELECTRIC VALVELESS MICROPUMP FOR BIOCHIPS 总被引:1,自引:0,他引:1
ZHANG Yong-li 《应用数学和力学(英文版)》2005,26(8):1026-1033
IntroductionMicro-pump is one of the most important fluid-driving elements in biochips. Workingprinciple of micropumps is quite different from traditional macro-scale pumps. Currently,valveless piezoelectric micropump is one of the most popular micropumps… 相似文献
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生物芯片无阀压电微流体泵流场数值研究 总被引:4,自引:0,他引:4
采用浅水波模型把浅薄形微泵的三维流动近似为二维厚度平均流动, 并采用有限元/压强修正法求解水平流场和计算微泵流量A·D2数值结果表明:1) 在微泵扩散管的过流截面上流速有时间相位差和回流现象.2) 微泵在吸流末期泵腔出现对称旋涡.3) 微流体泵的定向净流量来自于Navier-Stokes方程的非线性.还给出微泵流量与扩散管长宽比、厚宽比、液体粘度和进出口反压差的定量关系.通过参数优化可以使微泵得到尽可能大的流量. 相似文献