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

作　　者：Yongbo LIU Yongjun JIAN 

机构地区：[1]School of Mathematical Science, Inner Mongolia University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2019年第10期1457-1470,共14页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11772162 and11472140);the Inner Mongolia Autonomous Region Grassland Talent of China(No.12000-12102013);the Natural Science Foundation of Inner Mongolia Autonomous Region of China(No.2016MS0106)

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 , and the wall zeta potential 0. However, the increase in the inverse of the electrical double-layer (EDL) thickness K, the electrical oscillating Reynolds number Re, and the ionic P'eclet 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.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 coefficientα, and the wall zeta potential ■. However, the increase in the inverse of the electrical double-layer(EDL) thickness K, the electrical oscillating Reynolds number Re, and the ionic P′eclet number P e 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 e ECT electromagnetohydrodynamic (EMHD) ow GENERALIZED MAXWELL UID 

分 类 号：O361[理学—流体力学] O357.1[理学—力学]