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矩形微通道中幂律纳米流体的热充分发展电渗流

Thermally Fully Developed Electroosmotic Flow of Power-Law Nanofluid in a Rectangular Microchannel.

作者信息

Deng Shuyan

机构信息

Institute of Architecture and Civil Engineering, Guangdong University of Petrochemical Technology, Maoming 525000, China.

出版信息

Micromachines (Basel). 2019 May 30;10(6):363. doi: 10.3390/mi10060363.

DOI:10.3390/mi10060363
PMID:31151264
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6631849/
Abstract

The hydrodynamic and thermal behavior of the electroosmotic flow of power-law nanofluid is studied. A modified Cauchy momentum equation governing the hydrodynamic behavior of power-law nanofluid flow in a rectangular microchannel is firstly developed. To explore the thermal behavior of power-law nanofluid flow, the energy equation is developed, which is coupled to the velocity field. A numerical algorithm based on the Crank-Nicolson method and compact difference schemes is proposed, whereby the velocity, temperature, and Nusselt number are computed for different parameters. A larger nanoparticle volume fraction significantly reduces the velocity and enhances the temperature regardless of the base fluid rheology. The Nusselt number increases with the flow behavior index and with electrokinetic width when considering the surface heating effect, which decreases with the Joule heating parameter. The heat transfer rate of electroosmotic flow is enhanced for shear thickening nanofluids or at a greater nanoparticle volume fraction.

摘要

研究了幂律纳米流体电渗流的流体动力学和热行为。首先建立了一个修正的柯西动量方程，用于描述幂律纳米流体在矩形微通道中流动的流体动力学行为。为了探究幂律纳米流体流动的热行为，建立了与速度场耦合的能量方程。提出了一种基于克兰克-尼科尔森方法和紧致差分格式的数值算法，据此计算了不同参数下的速度、温度和努塞尔数。无论基流体流变学如何，较大的纳米颗粒体积分数都会显著降低速度并提高温度。考虑表面加热效应时，努塞尔数随流动行为指数和电动宽度的增加而增加，随焦耳加热参数的增加而减小。对于剪切增稠纳米流体或在较大的纳米颗粒体积分数下，电渗流的传热速率会提高。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/f7bff1672068/micromachines-10-00363-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/ddc6c7e914ce/micromachines-10-00363-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/9bc2a6a83d69/micromachines-10-00363-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/d8e7477bf614/micromachines-10-00363-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/9d274ea4078c/micromachines-10-00363-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/b2176b600cd5/micromachines-10-00363-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/6ee4cb535b9c/micromachines-10-00363-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/86013fc6c552/micromachines-10-00363-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/ab6efd184039/micromachines-10-00363-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/dcb4b9512125/micromachines-10-00363-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/f7bff1672068/micromachines-10-00363-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/ddc6c7e914ce/micromachines-10-00363-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/9bc2a6a83d69/micromachines-10-00363-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/d8e7477bf614/micromachines-10-00363-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/9d274ea4078c/micromachines-10-00363-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/b2176b600cd5/micromachines-10-00363-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/6ee4cb535b9c/micromachines-10-00363-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/86013fc6c552/micromachines-10-00363-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/ab6efd184039/micromachines-10-00363-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/dcb4b9512125/micromachines-10-00363-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5f47/6631849/f7bff1672068/micromachines-10-00363-g010.jpg

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本文引用的文献

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The Parametric Study of Electroosmotically Driven Flow of Power-Law Fluid in a Cylindrical Microcapillary at High Zeta Potential.高zeta电位下圆柱形微毛细管中幂律流体电渗驱动流的参数研究
Micromachines (Basel). 2017 Nov 28;8(12):344. doi: 10.3390/mi8120344.
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Analytical solution of two-fluid electro-osmotic flows of viscoelastic fluids.黏弹性流体两流型电渗流的解析解。
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Thermal control of electroosmotic flow in a microchannel through temperature-dependent properties.
群论分析非定常磁流体动力学流动和幂律纳米流体的热辐射传递，考虑纳维条件下的滑流。
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The Effect of Streaming Potential and Viscous Dissipation in the Heat Transfer Characteristics of Power-Law Nanofluid Flow in a Rectangular Microchannel.矩形微通道中幂律纳米流体流动传热特性中流动电势和粘性耗散的影响
Micromachines (Basel). 2020 Apr 17;11(4):421. doi: 10.3390/mi11040421.
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