Electromagnetohydrodynamic (EMHD) flow of fractional viscoelastic fluids in a microchannel

作     者：Shujuan AN Kai TIAN Zhaodong DING Yongjun JIAN Shujuan AN;Kai TIAN;Zhaodong DING;Yongjun JIAN

作者机构：School of Mathematical ScienceInner Mongolia UniversityHohhot 010021China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2022年第43卷第6期

页      面：917-930页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(No.11902165) the Natural Science Foundation of Inner Mongolia Autonomous Region of China(No.2019BS01004) 

主　　题：electromagnetohydrodynamic(EMHD)flow fractional viscoelastic fluid symmetry breaking 

摘      要：This study investigates the electromagnetohydrodynamic(EMHD)flow of fractional viscoelastic fluids through a microchannel under the Navier slip boundary *** flow is driven by the pressure gradient and electromagnetic force where the electric field is applied horizontally,and the magnetic field is vertically(upward or downward).When the electric field direction is consistent with the pressure gradient direction,the changes of the steady flow rate and velocity with the Hartmann number Ha are irrelevant to the direction of the magnetic field(upward or downward).The steady flow rate decreases monotonically to zero with the increase in *** contrast,when the direction of the electric field differs from the pressure gradient direction,the flow behavior depends on the direction of the magnetic field,i.e.,symmetry breaking ***,when the magnetic field is vertically upward,the steady flow rate increases first and then decreases with *** the magnetic field is reversed,the steady flow rate first reduces to zero as Ha increases from *** Ha continues to increase,the steady flow rate(velocity)increases in the opposite direction and then decreases,and finally drops to zero for larger *** increase in the fractional calculus parameterαor Deborah number De makes it take longer for the flow rate(velocity)to reach the steady *** addition,the increase in the strength of the magnetic field or electric field,or in the pressure gradient tends to accelerate the slip velocity at the *** the other hand,the increase in the thickness of the electric double-layer tends to reduce it.