矩形纳米管道中的电动能量转换效率

邢靖楠; 菅永军

doi:10.3879/j.issn.1000-0887.2016.04.004

矩形纳米管道中的电动能量转换效率

doi: 10.3879/j.issn.1000-0887.2016.04.004

内蒙古大学数学科学学院, 呼和浩特 010021

基金项目: 国家自然科学基金(11472140)；内蒙古自治区高等学校青年科技英才支持计划（NJYT13A02)；非线性力学国家重点实验室开放基金

详细信息

作者简介:
邢靖楠(1992—)，女，硕士生(E-mail: 1139695829@qq.com)；菅永军(1974—)，男，教授，博士生导师(通讯作者. E-mail: jianyj@imu.edu.cn).

中图分类号: O361.4
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出版历程
- 收稿日期: 2015-11-11
- 修回日期: 2015-12-17
- 刊出日期: 2016-04-15

Electrokinetic Energy Conversion Efficiency in Rectangular Nanochannels

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P.R.China

Funds: The National Natural Science Foundation of China（11472140）

摘要

摘要: 利用分离变量法,研究了矩形纳米管道内流体的流向势及电动能量转换效率.通过求解电势满足的Poisson-Boltzmann(泊松-玻尔兹曼)方程和速度满足的Navier-Stokes(纳维-斯托克斯)方程,得到了矩形纳米管道内流体的流向势和电动能量转换效率的解析表达式.通过数值计算,分析了电动宽度K(矩形管道的宽度与双电层厚度的比值)、纳米管道高度与宽度的展向比α以及壁面Zeta势ζ等无量纲参数对流向势及电动能量转换效率的影响.结果表明,当其他参数固定时,流向势随K的增加而减小.当K较小时,电动能量转换效率随K的增大而增大；当K较大时,电动能量转换效率随K的增大而减小.此外,流向势随展向比α的增大而变大.对于较小的K,电动能量转换效率随α的增大而变大；当K较大时,电动能量转换效率随α增大而减小.最后,当壁面电势ζ增大,流向势变大,相应的电动能量转换效率有显著的增加.
- 电动能量转换效率 /
- 流向势 /
- 矩形纳米管道
Abstract: The streaming potential and electrokinetic energy conversion efficiency in rigid rectangular nanochannels were studied via the variable separation approach. The analytic expressions for the streaming potential and electrokinetic energy conversion efficiency were obtained through solution of the linearized PoissonBoltzmann equation for the electric potential and the NavierStokes equation for the velocity field. By means of numerical computations, the influences of dimensionless electrokinetic width K,channel width to height ratio α and wall Zeta potential ζ on both the streaming potential and the electrokinetic energy conversion efficiency were discussed. The results show that the streaming potential exhibits monotonic decrease with K, while the electrokinetic energy conversion efficiency first increases with K for small K values, then decreases with K for large K values, when other parameters are given. In addition, the streaming potential increases with α. The electrokinetic energy conversion efficiency first increases with α for small K values, then decreases with α for large K values. Finally, both the streaming potential and the electrokinetic energy conversion efficiency increase significantly with the wall Zeta potential.
- electrokinetic energy conversion efficiency /
- streaming potential /
- rectangular nanochannel

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