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具有双分层的三维麦克斯韦纳米流体流动中化学物种和非线性热辐射的影响——一个解析解

Effects of Chemical Species and Nonlinear Thermal Radiation with 3D Maxwell Nanofluid Flow with Double Stratification-An Analytical Solution.

作者信息

Tlili Iskander, Naseer Sania, Ramzan Muhammad, Kadry Seifedine, Nam Yunyoung

机构信息

Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam.

Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam.

出版信息

Entropy (Basel). 2020 Apr 16;22(4):453. doi: 10.3390/e22040453.

Abstract

This article elucidates the magnetohydrodynamic 3D Maxwell nanofluid flow with heat absorption/generation effects. The impact of the nonlinear thermal radiation with a chemical reaction is also an added feature of the presented model. The phenomenon of flow is supported by thermal and concentration stratified boundary conditions. The boundary layer set of non-linear PDEs (partial differential equation) are converted into ODEs (ordinary differential equation) with high nonlinearity via suitable transformations. The homotopy analysis technique is engaged to regulate the mathematical analysis. The obtained results for concentration, temperature and velocity profiles are analyzed graphically for various admissible parameters. A comparative statement with an already published article in limiting case is also added to corroborate our presented model. An excellent harmony in this regard is obtained. The impact of the Nusselt number for distinct parameters is also explored and discussed. It is found that the impacts of Brownian motion on the concentration and temperature distributions are opposite. It is also comprehended that the thermally stratified parameter decreases the fluid temperature.

摘要

本文阐述了具有热吸收/生成效应的磁流体动力学三维麦克斯韦纳米流体流动。化学反应下非线性热辐射的影响也是所提出模型的一个附加特征。流动现象由热和浓度分层边界条件支持。通过适当的变换,非线性偏微分方程组的边界层集被转换为具有高度非线性的常微分方程。采用同伦分析技术来规范数学分析。针对各种可允许参数,以图形方式分析了浓度、温度和速度剖面的所得结果。还添加了与在极限情况下已发表文章的对比说明,以证实我们提出的模型。在这方面获得了极好的一致性。还探讨并讨论了不同参数下努塞尔数的影响。发现布朗运动对浓度和温度分布的影响是相反的。还认识到热分层参数会降低流体温度。

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