pH调节的纳米平行通道中Powell-Eyring流体的电渗流动

长龙; 布仁满都拉; 娜仁; 孙艳军; 菅永军

doi:10.21656/1000-0887.450137

pH调节的纳米平行通道中Powell-Eyring流体的电渗流动

doi: 10.21656/1000-0887.450137

长龙^1,,
布仁满都拉²,
娜仁¹,
孙艳军¹,
菅永军^{3, 4, ,}

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

基金项目:

国家自然科学基金 12162003

国家自然科学基金 11862018

国家自然科学基金 12262026

内蒙古自治区自然科学基金 2024LHMS01010

内蒙古自治区自然科学基金 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

详细信息

作者简介:
长龙(1979—)，男，副教授，博士(E-mail: suolunga@163.com)

通讯作者:
菅永军(1974—)，男，教授，博士, 博士生导师(通讯作者. E-mail: jianyj@dhu.edu.cn)

中图分类号: O357.1
计量
- 文章访问数: 374
- HTML全文浏览量: 212
- PDF下载量: 50
- 被引次数: 0
出版历程
- 收稿日期: 2024-05-12
- 修回日期: 2024-06-07
- 刊出日期: 2025-01-01

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

1.
School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, P.R.China
2.
College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, P.R.China
3.
School of Mathematics and Statistics, Donghua University, Shanghai 201620, P.R.China
4.
Institute of Nonlinear Sciences, Donghua University, Shanghai 201620, P.R.China

摘要

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.
- pH调节 /
- Powell-Eyring流体 /
- 电渗流动 /
- 官能团
Abstract: 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 ratio γ of 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 expansion up to the 1st-order solution to perfectly match the numerical solution. Meanwhile, M_KCI, pH, γ and G have significant effects on the charge density and the electroosmotic flow velocity of the Powell-Eyring fluid in the nanochannel.
- pH-regulation /
- Powell-Eyring fluid /
- electroosmotic flow /
- functional group

HTML全文

图 1 物理模型示意图

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 1. Schematic diagram of the physical model

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图 2 不同pH对应的EOF速度分布

Figure 2. EOF velocity distributions for different pH values

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图 3 纯EOF速度分布

Figure 3. Pure EOF velocity distributions

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图 4 不同pH和θ对应的纯EOF速度分布(γ=0.3)

Figure 4. Pure EOF velocity distributions for different pH and θ values (γ=0.3)

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图 5 壁面剪切应力随pH的分布

Figure 5. Distribution of wall shear stress with pH

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图 6 体积流率分布

Figure 6. Volume flow rate distribution

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