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微通道周期流动电位势及电粘性效应

龚磊 吴健康 王蕾 晁侃

龚磊, 吴健康, 王蕾, 晁侃. 微通道周期流动电位势及电粘性效应[J]. 应用数学和力学, 2008, 29(6): 649-656.
引用本文: 龚磊, 吴健康, 王蕾, 晁侃. 微通道周期流动电位势及电粘性效应[J]. 应用数学和力学, 2008, 29(6): 649-656.
GONG Lei, WU Jian-kang, Wang Lei, CHAO Kan. Periodical Streaming Potential and Electro-Viscous Effects in Microchannel Flow[J]. Applied Mathematics and Mechanics, 2008, 29(6): 649-656.
Citation: GONG Lei, WU Jian-kang, Wang Lei, CHAO Kan. Periodical Streaming Potential and Electro-Viscous Effects in Microchannel Flow[J]. Applied Mathematics and Mechanics, 2008, 29(6): 649-656.

微通道周期流动电位势及电粘性效应

基金项目: 国家自然科学基金资助项目(10472036)
详细信息
    作者简介:

    龚磊(1981- ),男,湖北人,博士(联系人.Tel:+86-27-87543338;E-mail:leis.gong@hotmail.com).

  • 中图分类号: O363.2

Periodical Streaming Potential and Electro-Viscous Effects in Microchannel Flow

  • 摘要: 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.
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出版历程
  • 收稿日期:  2007-12-18
  • 修回日期:  2008-03-24
  • 刊出日期:  2008-06-15

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