具有正弦波纹的环形微通道中电渗流动  

Electroosmotic Flow in Microannulus with Sinusoidal Corrugation

作　　者：长龙 布仁满都拉[3] 孙艳军 刘全生 菅永军[4,5] CHANG Long;BUREN Mandula;SUN Yanjun;LIU Quansheng;JIAN Yongjun(School of Statistics and Mathematics,Inner Mongolia University of Finance and Economics,Hohhot 010070,China;College of Mathematics Sciences,Inner Mongolia University,Hohhot 010021,China;College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China;Institute for Nonlinear Science,Donghua University,Shanghai 201620,China;School of Mathematics and Statistics,Donghua University,Shanghai 201620,China)

机构地区：[1]内蒙古财经大学统计与数学学院,呼和浩特010070 [2]内蒙古大学数学科学学院,呼和浩特010021 [3]内蒙古师范大学数学科学学院,呼和浩特010022 [4]东华大学非线性科学研究所,上海201620 [5]东华大学数学与统计学院,上海201620

出　　处：《内蒙古大学学报(自然科学版)》2025年第1期26-36,共11页Journal of Inner Mongolia University:Natural Science Edition

基　　金：国家自然科学基金项目(12162003,11862018,12262026);内蒙古自然科学基金项目(2024LHMS01010,2024LHMS01008);内蒙古高等学校创新团队发展计划支持项目(NMGIRT2323);内蒙古直属高校基本科研业务费项目(NCYWT23035);内蒙古财经大学2024年度高质量成果培育基金项目(GZCG2459,GZCG24268)。

摘　　要：研究了具有正弦波纹的环形微通道中牛顿流体电渗流动。通过摄动展开法求解了线性化的Poisson-Boltzmann方程和Navier-Stokes方程,获得了速度和流量(平均速度)的近似解。通过Matlab绘图分析了无量纲电动宽度K、平均内半径与外半径之比α、内壁面与外壁面zeta电势之比ζ、内外圆柱壁面波纹相位差β、波纹振幅与通道的平均外半径的比值δ、通道壁面波数λ以及无量纲压力梯度G对电渗流速度及流量(平均速度)的影响。结果表明:正弦波纹微通道中的平均速度相对于光滑通道的平均速度可能会有变化;速度分布明显受到了β的影响;G对电渗流起促进(G>0)或阻碍(G<0)作用;电渗流速度随着α的增加而减少;对于给定的ζ,波纹微通道中的平均速度u和平均速度的增量u2 m随G和β的增加而增加。The electroosmotic flow(EOF)of Newtonian fluids in microannulus with sinusoidal corrugation has been studied.The Poisson-Boltzmann and Navier-Stokes equations were solved by the perturbation expansion method,the approximate analytical velocity and volume flow rate(average velocity)were yielded.The effect of the dimensionless electric width K,the ratio of the average inner to outer radiusα,the wall zeta potentials ratio of the inner to the outer cylinderζ,the phase difference between two wall corrugationβ,the ratio of the corrugation amplitude to the average outer radius of the channelδ,the wave number of the wall corrugationsλ,and dimensionless pressure gradient G,on the velocity and flow rate(average velocity)of EOF were analyzed using Matlab.The results show that the average velocity in the sinusoidal corrugated microchannel may vary relative to that in the smooth channel;the velocity distribution is clearly influenced byβ;Gpromots(G>0)or hinders(G<0)EOF;the velocity of EOF decreases with increasingα;for a givenζ,the average velocityu in the corrugated microchannel and the increment u_(2 m)of the average velocity increase with the increasing Gandβ.

关 键 词：正弦波纹 微环形通道 电渗流动 双电层 牛顿流体 

分 类 号：O29[理学—应用数学] O175.2[理学—数学] O357.1