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具有表面电荷依赖滑移的平行板微纳通道中充分发展的电渗流的热分析和流动分析

Thermal and Flow Analysis of Fully Developed Electroosmotic Flow in Parallel-Plate Micro- and Nanochannels with Surface Charge-Dependent Slip.

作者信息

Chang Long, Sun Yanjun, Buren Mandula, Jian Yongjun

机构信息

School of Mathematical Science, Inner Mongolia University, Hohhot 010021, China.

School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, China.

出版信息

Micromachines (Basel). 2022 Dec 8;13(12):2166. doi: 10.3390/mi13122166.

Abstract

This study analytically investigates the coupled effects of surface charge and boundary slip on the fully developed electroosmotic flow and thermal transfer in parallel plate micro and nanochannels under the high zeta potential. The electric potential, velocity, temperature, flow rate, and Nusselt number are obtained analytically. The main results are that the velocity of bulk flow is significantly reduced in the presence of the surface charge-dependent slip. Moreover, the maximum velocity at = -125 mV is approximately twice as large as that at = -25 mV. The velocity and dimensionless temperature increase as the zeta potential increases. The dimensionless temperature of the surface charge-dependent slip flow is larger than that of the surface charge-independent slip flow. For the surface charge-dependent slip flow, the maximum temperature at = -125 mV is approximately four times larger than that at = -25 mV. The Nusselt number decreases with Joule heating and increases with a positive heat transfer coefficient. The Nusselt number decreases as the electric field and the magnitude of the zeta potential increase. In the surface charge-dependent slip flows, the Nusselt number is smaller than that in the surface charge-independent slip flows.

摘要

本研究通过分析研究了在高zeta电位下,表面电荷和边界滑移对平行板微纳通道中充分发展的电渗流和热传递的耦合效应。通过解析得到了电势、速度、温度、流量和努塞尔数。主要结果如下:在存在与表面电荷相关的滑移时,主流体流速显著降低。此外,在ζ=-125 mV时的最大速度约为ζ=-25 mV时的两倍。速度和无量纲温度随zeta电位的增加而增加。与表面电荷相关的滑移流的无量纲温度大于与表面电荷无关的滑移流的无量纲温度。对于与表面电荷相关的滑移流,在ζ=-125 mV时的最高温度约为ζ=-25 mV时的四倍。努塞尔数随焦耳热而降低,随正传热系数而增加。努塞尔数随着电场和zeta电位幅值的增加而减小。在与表面电荷相关的滑移流中,努塞尔数小于与表面电荷无关的滑移流中的努塞尔数。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa21/9784185/3185645f0e35/micromachines-13-02166-g001.jpg

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