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首页> 外文期刊>Journal of Heat Transfer >An Approximate Analytical Solution For Electro-Osmotic Flow Of Power-Law Fluids In A Planar Microchannel
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An Approximate Analytical Solution For Electro-Osmotic Flow Of Power-Law Fluids In A Planar Microchannel

机译：平面微通道中幂律流体电渗流的近似解析解

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摘要

The present investigation considers the fully developed electro-osmotic flow of power-law fluids in a planar microchannel subject to constant wall heat fluxes. Using an approx-imate velocity distribution, closed form expressions are obtained for the transverse distri-bution of temperature and Nusselt number. The approximate solution is found to be quite accurate, especially for the values of higher than ten for the dimensionless Debye-Huckel parameter where the exact values of Nusselt number are predicted. The results demon-strate that a higher value of the dimensionless Debye-Huckel parameter is accompanied by a higher Nusselt number for wall cooling, whereas the opposite is true for wall heating case. Although to increase the dimensionless Joule heating term is to decrease Nusselt number for both pseudoplastic and dilatant fluids, nevertheless its effect on Nusselt num-ber is more pronounced for dilatants. Furthermore, to increase the flow behavior index is to decrease the Nusselt number for wall cooling, whereas the contrary is right for the wall heating case. Depending on the value of flow parameters, a singularity is observed in the Nusselt number values of the wall heating case.
机译：本研究考虑了在恒定的壁热通量作用下，平面微通道中幂律流体的充分发展的电渗流。使用近似的速度分布，可以获得温度和Nusselt数的横向分布的闭合形式表达式。发现近似解是非常准确的，尤其是对于无量纲的Debye-Huckel参数的值大于10的情况，其中预测了Nusselt数的确切值。结果表明，无量纲的Debye-Huckel参数的值越高，则壁冷却的Nusselt值越高，而壁加热情况则相反。尽管增加无量纲焦耳加热项是为了减少假塑性流体和膨胀流体的Nusselt数，但是对于膨胀剂，它对Nusselt num-ber的影响更为明显。此外，增加流动性能指数是为了降低壁冷却的Nusselt数，而对于壁加热情况恰恰相反。根据流动参数的值，在壁加热箱的努塞尔数值中观察到奇异性。

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