变截面微管道中高zeta势下幂律流体的旋转电渗滑移流动  

Rotational electroosmotic slip flow of power-law fluid at high zeta potential in variable-section microchannel

作　　者：张天鸽 任美蓉 崔继峰[1] 陈小刚[1] 王怡丹 Zhang Tian-Ge;Ren Mei-Rong;Cui Ji-Feng;Chen Xiao-Gang;Wang Yi-Dan(College of Science,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《物理学报》2022年第13期239-250,共12页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:12062018,12172333);内蒙古自治区高等学校青年科技英才支持计划资助项目(批准号:NJYT22075);内蒙古自然科学基金(批准号:2020MS01015)资助的课题。

摘　　要：本文研究高zeta势下具有Navier滑移边界条件的幂律流体,在变截面微管道中的垂向磁场作用下的旋转电渗流动.在不使用Debye–Hückel线性近似条件时,利用有限差分法数值计算外加磁场的旋转电渗流的电势分布和速度分布.当行为指数n=1时得到的流体为牛顿流体,将本文的分析结果与Debye–Hückel线性近似所得解析近似解作比较,证明本文数值方法的可行性.除此之外,还详细讨论行为指数n、哈特曼数Ha、旋转角速度Ω、电动宽度K及滑移参数β对速度分布的影响,得到当哈特曼数Ha>1时,速度随着哈特曼数Ha的增加而减小;但当哈特曼数Ha<1时,x方向速度u的大小随着Ha的增加而增加.In this paper we study the rotating electroosmotic flow of a power-law fluid with Navier slip boundary conditions under high zeta potential subjected to the action of a vertical magnetic field in a variable crosssection microchannel.Without using the Debye–Hückel linear approximation,the finite difference method is used to numerically calculate the potential distribution and velocity distribution of the rotating electroosmotic flow subjected to an external magnetic field.When the behavior index n=1,the fluid obtained is a Newtonian fluid.The analysis results in this paper are compared with the analytical approximate solutions obtained in the Debye–Hückel linear approximation to prove the feasibility of the numerical method in this paper.In addition,the influence of behavior index n,Hartmann number Ha,rotation angular velocity Ω,electric width K and slip parameters β on the velocity distribution are discussed in detail.It is obtained that when the Hartmann number Ha>1,the velocity decreases with the increase of the Hartmann number Ha;but when the Hartmann number Ha<1,the magnitude of the x-direction velocity u increases with the augment of Ha.

关 键 词：高zeta势 Navier滑移边界条件 电磁流体力学 有限差分法 

分 类 号：O35[理学—流体力学]