Electrokinetic Energy Conversion Efficiency in Rectangular Nanochannels

XING Jing-nan; JIAN Yong-jun

doi:10.3879/j.issn.1000-0887.2016.04.004

Volume 37 Issue 4

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XING Jing-nan, JIAN Yong-jun. Electrokinetic Energy Conversion Efficiency in Rectangular Nanochannels[J]. Applied Mathematics and Mechanics, 2016, 37(4): 363-372. doi: 10.3879/j.issn.1000-0887.2016.04.004

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Electrokinetic Energy Conversion Efficiency in Rectangular Nanochannels

doi: 10.3879/j.issn.1000-0887.2016.04.004

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

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

Received Date: 2015-11-11
Rev Recd Date: 2015-12-17
Publish Date: 2016-04-15

Abstract

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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References(21)

References

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