pH调节的纳米平行通道中Powell⁃Eyring流体的电渗流动  

Electroosmotic Flows of Powell-Eyring Fluids in pH-Regulated Parallel Plate Nanochannels

作　　者：长龙 布仁满都拉 娜仁 孙艳军 菅永军 CHANG Long;BUREN Mandula;NA Ren;SUN Yanjun;JIAN Yongjun(School of Statistics and Mathematics,Inner Mongolia University of Finance and Economics,Hohhot 010070,P.R.China;College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,P.R.China;School of Mathematics and Statistics,Donghua University,Shanghai 201620,P.R.China;Institute of Nonlinear Sciences,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]内蒙古师范大学数学科学学院,呼和浩特010022 [3]东华大学数学与统计学院,上海201620 [4]东华大学非线性科学研究所,上海201620

出　　处：《应用数学和力学》2025年第1期72-83,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(12162003;11862018;12262026);内蒙古自治区自然科学基金(2024LHMS01010;2024LHMS01008);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);内蒙古财经大学2024年度高质量科研成果培育基金项目(GZCG2459;GZCG24268)

摘　　要：在调节溶液pH值和盐浓度下,利用同伦摄动法求解了纳米平行通道内Powell-Eyring流体的电渗流动(electroosmotic flow,EOF),得到了近似解.通过Chebyshev谱配置法验证了所得的近似解的准确性.在此基础上,研究了无量纲压力梯度G,盐浓度M_(KCI)和pH值,Powell-Eyring流体和Newton流体的黏度之比γ对速度剖面u和体积流率(平均速度)Q的影响.结果表明,同伦摄动法的收敛速度较快,仅需展开到一阶解就与数值解完全吻合;同时,M_(KCI),pH,γ和G对纳米通道中的电荷密度和Powell-Eyring流体电渗流速度具有显著影响.Under the adjustment of solution pH values and background salt concentrations,the electroosmotic flows of the Powell-Eyring fluids in parallel plate nanochannels were studied with the homotopic perturbation method,and approximate solutions were obtained.The accuracy of the obtained approximate solution was verified with the Chebyshev spectrum configuration method.On this basis,the effects of dimensionless pressure gradient G,background salt concentration M_(KCI),the pH value,and the viscosity ratioγof the Powell-Eyring fluid and the Newtonian fluid,on velocity profile u and volume flow rate(average velocity)Q,were studied.The results demonstrate that,the homotopy perturbation method converges rapidly,requiring only an expan-sion up to the 1st-order solution to perfectly match the numerical solution.Meanwhile,M_(KCI),pH,γand G have significant effects on the charge density and the electroosmotic flow velocity of the Powell-Eyring fluid in the nanochannel.

关 键 词：PH调节 Powell⁃Eyring流体 电渗流动 官能团 

分 类 号：O357.1[理学—流体力学]