平行板微通道中一类不可压缩微极性流体在高Zeta势下的时间周期电渗流  

Time period electroosmotic flow of a class of incompressible micropolar fluid in parallel plate microchannels under high Zeta potential

作　　者：于欣如 崔继峰[1] 陈小刚[1] 慕江勇 乔煜然 Yu Xin-Ru;Cui Ji-Feng;Chen Xiao-Gang;Mu Jiang-Yong;Qiao Yu-Ran(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》2024年第16期130-142,共13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);内蒙古自治区直属高校基本科研业务费项目(批准号:JY20220331,JY20220063)资助的课题.

摘　　要：在高Zeta势下,研究平行板微通道中一类不可压缩微极性流体的时间周期电渗流.在不使用DebyeHüickel线性近似条件下,利用有限差分法数值求解非线性Poisson-Boltzmann方程和不可压缩微极性流体的连续性方程、动量方程、角动量方程及本构方程,在低Zeta势下将所得结果与使用Debye-Hückel线性近似得到的解析解比较,证明本文数值方法是可行的;讨论高Zeta势下电动宽度m、电振荡频率Ω、微极性参数k1等无量纲参数对不可压缩微极性流体的速度和微旋转效应的影响.研究表明:1)随着Zeta势的增大,微极性流体的速度、微旋转、体积流量、微旋强度以及剪切应力增大,说明与低Zeta势相比,高Zeta势对微极性流体电渗流有显著的促进作用.2)在高Zeta势下,随着微极性参数的增大,微极性流体的速度减小,但是对微旋转效应呈现先增强后减弱的趋势.3)在高Zeta势下,当电振荡频率较低(小于1)时,电动宽度的增大促进微极性流体的流动,但抑制其微旋转;当电振荡频率较高(大于1)时,电动宽度的增大抑制微极性流体的流动及微旋转,但促进体积流量快速增大并趋于恒定.4)在高Zeta势下,当电振荡频率较低(小于1)时,微极性流体电渗流速度和微旋转随着电振荡频率的变化呈现明显的振荡变化趋势,但是速度和微旋转的峰值、体积流量及微旋强度均保持不变;当电振荡频率较高(大于1)时,随着电振荡频率的增大,微极性流体电渗流速度和微旋转的幅值减小,体积流量及微旋强度减小直至趋于零.5)在高Zeta势下,壁面剪切应力σ21及σ12的幅值随电动宽度的增大而增大;当电振荡频率较低(小于1)时,壁面剪切应力σ21与σ12不随电振荡频率的增大而变化,均取恒定值,且微极性参数的取值不影响壁面剪切应力σ21的幅值;当电振荡频率较高(大于1)时,壁面剪切应力σ21及σ12的幅值随电振荡频率的增大而减小,且壁�The time-periodic electroosmotic flow of a class of incompressible micropolar fluid in a parallel plate microchannel under high wall Zeta potential is studied in this work.Without using the Debye-Hückel linear approximation,the finite difference method is used to numerically solve the nonlinear Poisson-Boltzmann equation,the continuity equation,momentum equation,angular momentum equation,and constitutive equation of incompressible micropolar fluid.In the case of low Zeta potential,the results are compared with the analytical solution obtained in the Debye-Hückel linear approximation,and the feasibility of the numerical method is also proved.The influences of dimensionless parameters,such as electric width m,electric oscillation frequencyΩ,and micro-polarity parameter k1 on the velocity and microrotation effect of incompressible micropolarity fluid under high Zeta potential are discussed.The results are shown below.1)With the increase of Zeta potential,the velocity,micro-rotation,volume flow,micro-rotation strength and shear stress of the micropolar fluid all increase,indicating that compared with the low Zeta potential,the high Zeta potential has a significant promotion effect on the electroosmotic flow of the micropolar fluid.2)Under high Zeta potential,with the increase of the micro-polarity parameter,the velocity of the micropolar fluid decreases,and the micro-rotation effect shows a first-increasing-and-then-decreasing trend.3)Under high Zeta potential,when the electric oscillation frequency is lower(less than 1),the increase of the electric width promotes the flow of the micropolar fluid,but impedes its micro-rotation;when the electric oscillation frequency is higher(greater than 1),the increase of the electric width impedes the flow and micro-rotation of the micropolar fluid,but expedites rapid increase of the volume flow rate and tends to be constant.4)Under high Zeta potential,when the electric oscillation frequency is lower(less than 1),the electroosmotic flow velocity and micro-rotation of the microp

关 键 词：微极性流体 高 ZETA 势 电渗流 平行板微通道 有限差分法 

分 类 号：O411.1[理学—理论物理]