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

doi:10.1007/s10483-019-2526-9

摘要/Abstract

摘要： 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 α, and the wall zeta potential ψ₀. However, the increase in the inverse of the electrical double-layer (EDL) thickness K, the electrical oscillating Reynolds number Re, and the ionic Péclet 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.

关键词: electroviscous effect, electromagnetohydrodynamic (EMHD) flow, generalized Maxwell fluid

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 α, and the wall zeta potential ψ₀. However, the increase in the inverse of the electrical double-layer (EDL) thickness K, the electrical oscillating Reynolds number Re, and the ionic Péclet 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.

Key words: electroviscous effect, electromagnetohydrodynamic (EMHD) flow, generalized Maxwell fluid

中图分类号:

Yongbo LIU, Yongjun JIAN. Electroviscous effect on electromagnetohydrodynamic flows of Maxwell fluids in parallel plate microchannels[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(10): 1457-1470.

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