Thermally Fully Developed Electroosmotic Flow of Power-Law Fluids in a Circular Microchannel
Thermally Fully Developed Electroosmotic Flow of Power-Law Fluids in a Circular Microchannel
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DOI：
10.1017/jmech.2013.43
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发表时间：
2013-05
影响因子：
1.7
通讯作者：
Y.-J. Sun;Yongjun Jian;Long Chang;Quansheng Liu
中科院分区：
文献类型：
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作者：
Y.-J. Sun;Yongjun Jian;Long Chang;Quansheng Liu
这项研究提出了非牛顿幂律流体通过圆形微通道的热充分发展的电渗流。建立了一个严格的数学模型来描述电渗流中的焦耳热，包括泊松玻尔兹曼方程、修正的纳维斯托克斯方程和能量方程。推导了归一化速度和温度的半解析解。通过数值积分计算速度剖面，通过有限差分法获得温度分布。结果表明，速度剖面很大程度上取决于流体行为指数n和无量纲动电宽度K。对于指定的K值，轴向速度随着n的减小而增加，并且对于指定的n值可以发现K对速度的影响具有相同的趋势。此外，无量纲温度由三个参数控制，即流动行为指数n、无量纲动电宽度K和无量纲焦耳加热参数G。研究了不同参数下径向流体温度分布的变化。
This study presents a thermally fully developed electroosmotic flow of the non-Newtonian power-law fluids through a circle microchannel. A rigorous mathematic model for describing the Joule heating in an electroosmotic flow including the Poisson Boltzmann equation, the modified Navier Stokes equation and the energy equation is developed. The semi-analytical solutions of normalized velocity and temperature are derived. The velocity profile is computed by numerical integrate, and the temperature distribution is obtained by finite difference method. Results show that the velocity profiles depend greatly on the fluid behavior index n and the nondimensional electrokinetic width K. For a specified value of K , the axial velocity increases with a decrease in n, and the same trend for the effect of K on the velocity can be found for a specified value of n. Moreover, the dimensionless temperature is governed by three parameters, namely, the flow behavior index n , the nondimensional electrokinetic width K , and the dimen-sionless Joule heating parameter G. The variations of radial fluid temperature distributions with different parameters are investigated.