Electrokinetic energy conversion of electro-magneto-hydro-dynamic nanofluids through a microannulus under the time-periodic excitation

doi:10.1007/s10483-021-2745-5

Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (7): 1029-1046.doi: https://doi.org/10.1007/s10483-021-2745-5

Electrokinetic energy conversion of electro-magneto-hydro-dynamic nanofluids through a microannulus under the time-periodic excitation

Guangpu ZHAO¹, Jiali ZHANG¹, Zhiqiang WANG², Yongjun JIAN³

1. College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China;
2. Transportation Institute, Inner Mongolia University, Hohhot 010021, China;
3. School of Mathematical Science, Inner Mongolia University, Hohhot 010021, China

收稿日期:2021-01-24 修回日期:2021-04-25 发布日期:2021-06-24
通讯作者: Yongjun JIAN, E-mail:jianyj@imu.edu.cn
基金资助:
the National Natural Science Foundation of China (Nos. 11772162 and 11802147), the Natural Science Foundation of Inner Mongolia (No. 2018LH01015), the Foundation of Inner Mongolia Autonomous Region University Scientific Research Project (No. NJZY18093), and the Foundation of Inner Mongolia University of Technology (No. ZD201714)

Electrokinetic energy conversion of electro-magneto-hydro-dynamic nanofluids through a microannulus under the time-periodic excitation

Guangpu ZHAO¹, Jiali ZHANG¹, Zhiqiang WANG², Yongjun JIAN³

1. College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China;
2. Transportation Institute, Inner Mongolia University, Hohhot 010021, China;
3. School of Mathematical Science, Inner Mongolia University, Hohhot 010021, China

Received:2021-01-24 Revised:2021-04-25 Published:2021-06-24
Contact: Yongjun JIAN, E-mail:jianyj@imu.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 11772162 and 11802147), the Natural Science Foundation of Inner Mongolia (No. 2018LH01015), the Foundation of Inner Mongolia Autonomous Region University Scientific Research Project (No. NJZY18093), and the Foundation of Inner Mongolia University of Technology (No. ZD201714)

摘要/Abstract

摘要： In this work, the effects of externally applied axial pressure gradients and transverse magnetic fields on the electrokinetic energy conversion (EKEC) efficiency and the streaming potential of nanofluids through a microannulus are studied. The analytical solution for electro-magneto-hydro-dynamic (EMHD) flow is obtained under the condition of the Debye-Hückel linearization. Especially, Green’s function method is used to obtain the analytical solutions of the velocity field. The result shows that the velocity distribution is characterized by the dimensionless frequency ?, the Hartmann number Ha, the volume fraction of the nanoparticles φ, the geometric radius ratio a, and the wall ζ potential ratio b. Moreover, the effects of three kinds of periodic excitations are compared and discussed. The results also show that the periodic excitation of the square waveform is more effective in increasing the streaming potential and the EKEC efficiency. It is worth noting that adjusting the wall ζ potential ratio and the geometric radius ratio can affect the streaming potential and the EKEC efficiency.

关键词: electrokinetic energy conversion (EKEC) efficiency, nanofluid, streaming potential, magnetic field, time-periodic excitation

Abstract: In this work, the effects of externally applied axial pressure gradients and transverse magnetic fields on the electrokinetic energy conversion (EKEC) efficiency and the streaming potential of nanofluids through a microannulus are studied. The analytical solution for electro-magneto-hydro-dynamic (EMHD) flow is obtained under the condition of the Debye-Hückel linearization. Especially, Green’s function method is used to obtain the analytical solutions of the velocity field. The result shows that the velocity distribution is characterized by the dimensionless frequency ?, the Hartmann number Ha, the volume fraction of the nanoparticles φ, the geometric radius ratio a, and the wall ζ potential ratio b. Moreover, the effects of three kinds of periodic excitations are compared and discussed. The results also show that the periodic excitation of the square waveform is more effective in increasing the streaming potential and the EKEC efficiency. It is worth noting that adjusting the wall ζ potential ratio and the geometric radius ratio can affect the streaming potential and the EKEC efficiency.

Key words: electrokinetic energy conversion (EKEC) efficiency, nanofluid, streaming potential, magnetic field, time-periodic excitation

中图分类号:

Guangpu ZHAO, Jiali ZHANG, Zhiqiang WANG, Yongjun JIAN. Electrokinetic energy conversion of electro-magneto-hydro-dynamic nanofluids through a microannulus under the time-periodic excitation[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(7): 1029-1046.

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Electrokinetic energy conversion of electro-magneto-hydro-dynamic nanofluids through a microannulus under the time-periodic excitation

Electrokinetic energy conversion of electro-magneto-hydro-dynamic nanofluids through a microannulus under the time-periodic excitation

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