具有正弦波纹的平行板微通道中Jeffrey流体周期电渗流动  

Periodic Electroosmotic Flow of the Jeffrey Fluid in Microchannel Between Two Sinusoidally Wavy Walls

作　　者：长龙 布仁满都拉[3] 孙艳军 菅永军 CHANG Long;BUREN Mandula;SUN Yanjun;JIAN Yongjun(School of Statistics and Mathematics,Inner Mongolia University of Finance and Economics,Hohhot 010070,P.R.China;School of Mathematical Science,Inner Mongolia University,Hohhot 010021,P.R.China;School of Mathematical Science,Inner Mongolia Normal University,Hohhot 010022,P.R.China;Institute for Nonlinear Science,Donghua University,Shanghai 201620,P.R.China;School of Mathematics and Statistics,Donghua University,Shanghai 201620,P.R.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：《应用数学和力学》2024年第5期622-636,共15页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11862018;12162003;12262026);内蒙古自治区高等学校创新团队发展计划(NMGIRT2323);自治区直属高校基本科研业务费(NCYWT23035);内蒙古自治区自然科学基金(2021MS01007;2024LHMS01010)。

摘　　要：研究了具有正弦波纹的平行板微通道中Jeffrey流体周期电渗流动(AC EOF).通过摄动展开法,求解了动量方程,得到了平行板微管道中Jeffrey流体AC EOF速度的近似解析解及其体积流率.在此基础上,研究了相关无量纲参数,如振荡Reynolds数Re_(Ω)、压力梯度G、Deborah数De、滞后时间λ2ω、电动宽度K、正弦波纹的小振幅δ、相位差θ及其波数λ对平均速度u_(m)(t)与平均速度的振幅|U_(m)|的影响.结果表明:Newton、Maxwell和Jeffrey流体之间的速度振幅差异是明显的;Jeffrey流体速度分布受壁面波纹的影响显著,并呈现出明显的波动现象,同时,速度分布还受上下板波纹相位差θ的影响;随着Re_(Ω)的增大,AC EOF速度和u_(m)(t)呈现出快速振荡且振幅逐渐减小的趋势;De数类似于Re_(Ω),使得在外加电场作用下,AC EOF速度更容易产生振荡;同时,AC EOF速度和|Um|随着λ2ω的增大而减小;对于给定的Re_(Ω),相位滞后χ(代表电场和平均速度之间的相位差)随着θ的变化呈明显增大或减小趋势;而χ随着G,λ2ω和θ的增大而减小,但是在较大的λ下(如λ>3.4),χ几乎没有显著变化.The periodic electroosmotic flow of the Jeffrey fluid in microchannel between 2 sinusoidal wavy walls was studied.The momentum equation was solved with the perturbation expansion method,to give the ap-proximate analytical velocity and volume flow rate of the periodic electroosmotic flow of the Jeffrey fluid in the parallel-wall microchannel.The influences of relevant dimensionless parameters,such as oscillation Reynolds number Re_(Ω),pressure gradient G,Deborah number De,retardation timeλ2ω,electric width K,small wavy ampli-tudeδ,phase differenceθand wave numberλon mean velocity um(t)and amplitude|U_(m)|of the mean velocity,were investigated.The study reveals a distinct difference in the velocity amplitudes between Newtonian,Max-well,and Jeffrey fluids.The velocity distribution of the Jeffrey fluid is significantly influenced by wavy surface,exhibiting pronounced fluctuations.Furthermore,the velocity distribution depends on phase differenceθof the upper and lower wavy surfaces.As oscillation Reynolds number Re_(Ω)increases,the AC EOF velocity and mean velocity u_(m)(t)exhibits rapid oscillations,with the amplitude becoming increasingly smaller.Similarly,Deborah number De plays a role similar to Re_(Ω),facilitating the AC EOF velocity profile to oscillate easily under the action of an external electric field.An increase in retardation timeλ2ωresults in decrease in the amplitude of the AC EOF velocity profile and mean velocity amplitude|U_(m)|.For a given Re_(Ω),phase lagχ(representing the phase difference between the electric field and the mean velocity)exhibits a significant increase or decrease withθ.Phase lagχdecreases with G,λ2ω,andθ.However,for largerλvalues(such asλ>3.4),there is almost no change of phase lagχ.

关 键 词：AC EOF 双电层(EDL) 正弦波纹壁面 Jeffrey流体 振荡Reynolds数 Deborah数 滞后时间 

分 类 号：O357.1[理学—流体力学]