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Electroviscous effect on electromagnetohydrodynamic flows of Maxwell fluids in parallel plate microchannels

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Abstract

Considering the influence of the streaming potential and electroviscous effects, the analytical solutions for electromagnetohydrodynamic (EMHD) flows in parallel plate microchannels are obtained. The electrolyte solutions in the microchannels are taken as generalized Maxwell fluids, and slip boundary conditions are adopted. To accurately analyze the EMHD flow characteristics, the variation trends of the electroviscous effects with the corresponding parameters must be understood. The results show that the electroviscous effects increase with the increase in the relaxation time De, the slip coefficient, and the wall zeta potential ψ̅0. However, the increase in the inverse of the electrical double-layer (EDL) thickness K, the electrical oscillating Reynolds number Re, and the ionic Péeclet number Pe can decrease the electroviscous effects. We also demonstrate that the electroviscous effect on the EMHD flows of generalized Maxwell fluids is larger than that of Newtonian fluids. This work will be useful in designing EMHD flows in parallel plate microchannels.

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Authors and Affiliations

  1. School of Mathematical Science, Inner Mongolia University, Hohhot, 010021, China

    Yongbo Liu & Yongjun Jian

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  1. Yongbo Liu
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  2. Yongjun Jian
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Correspondence to Yongjun Jian.

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Project supported by the National Natural Science Foundation of China (Nos. 11772162 and 11472140), the Inner Mongolia Autonomous Region Grassland Talent of China (No. 12000-12102013), and the Natural Science Foundation of Inner Mongolia Autonomous Region of China (No. 2016MS0106)

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Liu, Y., Jian, Y. Electroviscous effect on electromagnetohydrodynamic flows of Maxwell fluids in parallel plate microchannels. Appl. Math. Mech.-Engl. Ed. 40, 1457–1470 (2019). https://doi.org/10.1007/s10483-019-2526-9

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  • DOI: https://doi.org/10.1007/s10483-019-2526-9

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