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Flow of Oldroyd-B fluid caused by a rotating disk featuring the Cattaneo-Christov theory with heat generation/absorption
International Communications in Heat and Mass Transfer ( IF 6.4 ) Pub Date : 2021-02-26 , DOI: 10.1016/j.icheatmasstransfer.2021.105179
Abdul Hafeez , Masood Khan

This article presented the Cattaneo-Christove heat and mass flux theories in the flow of Oldroyd-B fluid over a rotating disk. The flow configuration is due to the rotating as well as stretching of the disk. The heat generation/absorption and chemical reaction are also considered. For the formulation of heat and mass equations, the Cattaneo-Christov theories are used rather than Fourier's and Fick's laws. The von Karman's transformations are used to convert the partial differential equations into non-dimensional ordinary differential equations. The analytical series solutions are obtained by utilizing the homotopy analysis method (HAM) in Mathematica software. The graphical results are achieved in the form of velocity fields, temperature and concentration distributions. Results show that the temperature of the Odroyd-B fluid rises when the magnetic field parameter increases in some specific range. Further, the velocities show a reducing behavior against magnetic field parameter. It is observed that the temperature reduces as thermal relaxation time parameter increases. It is also be mentioned that the solutal relaxation time parameter is influenced on concentration distribution in decreasing trend.



中文翻译:

由具有Cattaneo-Christov理论并产生热量/吸收热量的旋转圆盘引起的Oldroyd-B流体流动

本文介绍了在旋转圆盘上的Oldroyd-B流体流中的Cattaneo-Christove热和质量通量理论。流动配置是由于圆盘的旋转以及拉伸引起的。还考虑了热量的产生/吸收和化学反应。对于热量和质量方程的表述,使用的是Cattaneo-Christov理论,而不是傅立叶和菲克定律。von Karman变换用于将偏微分方程转换为无量纲的常微分方程。通过使用Mathematica软件中的同型分析方法(HAM)获得分析系列溶液。图形结果以速度场,温度和浓度分布的形式获得。结果表明,当磁场参数在某个特定范围内增加时,Odroyd-B流体的温度会升高。此外,速度显示出针对磁场参数的减小的行为。观察到温度随着热弛豫时间参数的增加而降低。还应该提到的是,溶解弛豫时间参数在浓度下降趋势中对浓度分布有影响。

更新日期:2021-02-26
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