弯曲矩形微通道内纳米流体的电渗流动及其传热特性

邢靖楠; 刘勇波

doi:10.21656/1000-0887.450199

弯曲矩形微通道内纳米流体的电渗流动及其传热特性

doi: 10.21656/1000-0887.450199

邢靖楠^1,,
刘勇波^{2, 3, 4, ,}

1.
内蒙古大学创业学院信息工程学院, 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.
无穷维哈密顿系统及其算法应用教育部重点实验室, 呼和浩特 010022
4.
内蒙古自治区应用数学中心, 呼和浩特 010022

基金项目:

内蒙古自然科学基金 2021BS01008

内蒙古自治区高等学校青年科技人才发展项目 NJYT24058

详细信息

作者简介:
邢靖楠(1992—), 女, 讲师, 硕士(E-mail: 1139695829@qq.com)

通讯作者:
刘勇波(1990—), 男, 副教授, 博士, 硕士生导师(通讯作者. E-mail: liuyb@mail.imu.edu.cn)

中图分类号: O357.1
计量
- 文章访问数: 50
- HTML全文浏览量: 12
- PDF下载量: 12
- 被引次数: 0
出版历程
- 收稿日期: 2024-07-08
- 修回日期: 2024-08-31
- 刊出日期: 2025-06-01

Electroosmotic Flow and Heat Transfer Characteristics of Nanofluids in Curved Rectangular Microchannels

XING Jingnan^1
,,
LIU Yongbo^{2, 3, 4
, ,}

1.
School of Information Engineering, Pioneer College, Inner Mongolia University, Hohhot 010070, P. R. China
2.
College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, P. R. China
3.
Laboratory of Infinite-Dimensional Hamiltonian System and Its Algorithm Application, Hohhot 010022, P. R. China
4.
Inner Mongolia Autonomous Region Center for Applied Mathematics, Hohhot 010022, P. R. China

摘要

摘要: 弯曲微通道在电渗流及其传热方面展现出显著的优势, 包括增大电渗流速度和提高传热效率. 同时, 纳米流体因其优良的传热性能也受到广泛关注. 然而, 目前关于弯曲微通道内纳米流体的电渗流及传热机理的研究仍显不足. 该研究旨在探讨在低zeta势和恒壁面热流密度条件下, 弯曲微通道的几何效应对微通道中纳米流体的电渗透流动及换热特性的影响. 研究中考虑了蠕变Dean流, 由于不存在向心力, 速度场保持直线分布. 利用Fourier变换方法得到了速度和温度的半解析解, 进而推导出了Nusselt数Nu的数学表达式. 通过分析速度、温度和Nu随曲率比δ、纳米粒子体积分数ϕ、特征压力速度和特征电渗速度之比u_r等相关物理参数的变化趋势, 揭示了这种流动和传热现象的特性. 结果表明, Nu随着压力速度的增大而减小, 随曲率比的增大而减小, 而随着纳米粒子体积分数的增大而增大. 该文的结果为微纳米流体器件的设计和应用提供了重要的参考价值, 有助于优化器件性能和应用.
- 弯曲微通道 /
- 传热特性 /
- 纳米流体 /
- 电渗流
Abstract: Curved microchannels exhibit significant advantages in electroosmotic flow and heat transfer, including increased electroosmotic flow velocities and improved heat transfer efficiencies. At the same time, nanofluids have received widespread attention due to their excellent heat transfer performances. However, current research on the electroosmotic flow and heat transfer mechanisms of nanofluids within curved microchannels remains insufficient. Herein, the effects of the geometry of curved microchannels on the electroosmotic flow and heat transfer characteristics of nanofluids in the microchannels were investigated at low zeta potentials and constant wall heat fluxes. The creeping Dean flow was considered, and the velocity field was kept in a straight line distribution due to no centripetal force. The semi-analytic solutions of velocity and temperature were obtained with the Fourier transform method, and the mathematical expression of Nusselt number Nu was derived based on the velocity and temperature solutions. The variation trends of the velocity, the temperature, and Nusselt number Nu with curvature ratio δ, nanoparticle volume fraction ϕ, and the ratio of the characteristic pressure velocity to the characteristic electroosmotic velocity u_r, were analyzed, with the characteristics of the flow and heat transfer phenomena revealed. The results show that, Nusselt number Nu decreases with the pressure velocity and the curvature ratio, and increases with the nanoparticle volume fraction. The work provides an important reference for the design and application of micro and nano fluid devices, and helps to optimize the device performances and applications.
- curved microchannel /
- heat transfer characteristic /
- nanofluid /
- electroosmotic flow

HTML全文

图 1 弯曲矩形微通道示意图

Figure 1. Schematic diagram of the curved rectangular microchannel

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图 2 无量纲温度T和Nu的解与文献[46]中的数据对比

Figure 2. Comparison of dimensionless temperature T and Nu with ref. [46]

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图 3 z=b/2处的速度分布随曲率比δ的变化趋势(ϕ=4%, K=50, ζ=1)

Figure 3. Variations of velocity distributions at z=b/2 with δ for ϕ=4%, K=50, ζ=1

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图 4 z=b/2处的速度分布随纳米粒子体积分数ϕ的变化趋势(δ=0.5, K=50, ζ=1)

Figure 4. Variation trends of the velocity distributions at z=b/2 with volume fraction of the nanoparticles ϕ for δ=0.5, K=50, ζ=1

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图 5 z=b/2处的温度分布随曲率比δ的变化趋势(ϕ=4%, K=50, ζ=1, S=1)

Figure 5. Variation trends of the temperature distributions at z=b/2 with curvature ratio δ for ϕ=4%, K=50, ζ=1, S=1

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图 6 z=b/2处的温度分布随纳米粒子体积分数ϕ的变化趋势(δ=0.5, K=50, ζ=1, S=1)

Figure 6. Variation trends of the temperature distributions at z=b/2 with volume fraction of the nanoparticles ϕ for δ=0.5, K=50, ζ=1, S=1

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图 7 Nu随速度比u_r、曲率比δ、和纳米粒子体积分数ϕ的变化趋势

Figure 7. Variation trends of Nu with velocity ratio u_r, curvature ratio δ and nanoparticle volume fraction ϕ

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