Unsteady flow and heat transfer of Maxwell nanofluid in a finite thin film with internal heat generation and thermophoresis

Unsteady flow and heat transfer of Maxwell nanofluid in a finite thin film with internal heat generation and thermophoresis
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DOI:
10.2298/tsci170129097l
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发表时间:
2017
期刊:
影响因子:
1.7
通讯作者:
Tingting Liu;Lin Liu;Liancun Zheng
Tingting Liu;Lin Liu;Liancun Zheng
中科院分区:
工程技术4区
文献类型:
--
作者:
Tingting Liu;Lin Liu;Liancun Zheng

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本文研究了麦克斯韦纳米流体在有限长薄膜中的非稳态流动与传热。考虑了热产生、布朗运动和热泳现象。建立了耦合非线性控制偏微分方程,并利用BVP 4C获得了局部相似解。结果表明,与牛顿流体不同,麦克斯韦流体的弛豫特性对热传递和浓度传递有很强的影响,温度分布和浓度分布存在交叉,局部Nusselt数和舍伍德数随布朗数的增加而增加。此外,还分析和讨论了非定常性、Deborah数、Prandtl数、刘易斯数、Brown数、热物理参数、局部Nusselt数和局部舍伍德数等物理参数对速度场、温度场和浓度场的综合影响。
This paper studies the unsteady flow and heat transfer of Maxwell nanofluid in a finite thin film over a stretching sheet. The heat generation, Brownian motion and thermophoresis are taken into consideration. Coupled non-linear governing PDE are formulated and local similarity solutions are obtained by BVP4C. Results show that, unlike Newtonian fluid, the relaxation characteristics of Maxwell fluid have strongly effects on thermal and concentration transmission, there exist intersections in the distributions of temperature and concentration, the local Nusselt and Sherwood numbers increases with the increase of Brownian number. Moreover, the combined effects of pertinent physical parameters, such as the unsteadiness, Deborah number, Prandtl number, Lewis number, Brownian number, thermophesis parameter, local Nusselt number, and local Sherwood number on velocity, temperature, and concentration fields are also analyzed and discussed.