物理学报2024，Vol.73Issue(16)：130-142,13.DOI:10.7498/aps.73.20240591
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
摘要
Abstract
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 frequency Ω,and micro-polarity parameter k1 on the velocity and microrotation effect of incompressible micro-polarity 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 micropolar fluid show an obvious oscillation trend with the change of the electric oscillation frequency,but the peak value of the velocity and micro-rotation,the volume flow rate and the micro-rotation intensity remain unchanged;when the electric oscillation frequency is higher(greater than 1),with the increase of the electric oscillation frequency,the amplitude of micropolar fluid electroosmotic flow velocity and the amplitude of microrotation decrease,and also the volume flow and microrotation intensity decrease until they reach zero.5)Under high Zeta potential,the amplitude of wall shear stress σ21 and σ12 increase with the electric width increasing;when the electric oscillation frequency is lower(less than 1),the wall shear stress σ21 and σ12 do not change with the increase of the electric oscillation frequency,and the amplitude of the wall shear stress σ21 is not affected by the value of the micro-polarity parameter;when the electric oscillation frequency is higher(greater than 1),the amplitude of wall shear stress U21 and σ12 decrease with the increase of the electric oscillation frequency,and the amplitude of wall shear stress σ21 decreases with the increase of the micro-polarity parameter,while the amplitude of wall shear stress σ12 decreases linearly with the increase of the micro-polarity parameter.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Key words
micropolar fluid/high Zeta potential/electroosmotic flow/parallel plate microchannel/finite difference method引用本文复制引用
于欣如,崔继峰,陈小刚,慕江勇,乔煜然..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[J].物理学报,2024,73(16):130-142,13.基金项目
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)和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. Project supported by the Natural Science Foundation of China(Grant Nos.12062018,12172333),the Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region,China(Grant No.NJYT22075),and the Basic Science Research Fund in the Universities Directly under the Inner Mongolia Autonomous Region,China(Grant Nos.JY20220331,JY20220063). （批准号:12062018,12172333）
