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On the energy conversion in electrokinetic transports

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  • 1. School of Mathematical Science, Inner Mongolia University, Hohhot 010021, Inner Mongolia, China;
    2. School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010021, Inner Mongolia, China

Received date: 2021-05-07

  Revised date: 2021-11-10

  Online published: 2022-01-25

Supported by

Project supported by the National Natural Science Foundation of China (Nos. 11902165, 11772162, and 11862018), the Natural Science Foundation of Inner Mongolia Autonomous Region of China (Nos. 2019BS01004 and 2021MS01007), and the Inner Mongolia Grassland Talent (No. 12000- 12102013)

Abstract

Energy conversion in micro/nano-systems is a subject of current research, among which the electrokinetic energy conversion has attracted extensive attention. However, there exist two difierent deflnitions on the electrokinetic energy conversion e–ciency in literature. A few researchers deflned the e–ciency using the pure pressure-driven flow rate, while other groups deflned the e–ciency based on the flow rate with the inclusion of the efiect of the streaming potential fleld. In this work, both deflnitions are investigated for difierent fluid types under the periodic electrokinetic flow condition. For Newtonian fluids, the two deflnitions give similar results. However, for viscoelastic fluids, these two deflnitions lead to signiflcant difierence. The e–ciency deflned by the pure pressure-driven flow rate even exceeds 100% in a certain range of the parameters. The result shows that in the case of viscoelastic flow, it is incorrect to deflne the energy conversion e–ciency by pure pressure-driven flow rate. At the same time, the reason for this problem is clarifled through comprehensive analysis.

Cite this article

Zhaodong DING, Long CHANG, Kai TIAN, Yongjun JIAN . On the energy conversion in electrokinetic transports[J]. Applied Mathematics and Mechanics, 2022 , 43(2) : 263 -274 . DOI: 10.1007/s10483-022-2810-7

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