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Minimization of entropy production in the transient thermocapillary flow of $$Al_2O_3 - Cu$$ A l 2 O 3 - C u hybrid nanoliquid film over a disk
Indian Journal of Physics ( IF 1.6 ) Pub Date : 2021-05-08 , DOI: 10.1007/s12648-021-02100-6
R. Tripathi , V. K. Chaurasiya , A. Kumar , R. Singh

This research article intends to investigate the entropy generation in the context of unsteady thermocapillary convection of a hybrid nanoliquid thin film over a disk within magnetohydrodynamic considerations. A set of partial differential equations using Prandtl’s boundary layer theory has been written to present the flow situation in mathematical form. Irreversible processes of viscous and Joule dissipations have been considered in the temperature balance equation. A suitable choice of transform variables facilitate a system of ODEs from original PDEs representing the flow phenomena. This system of ODEs is solved by shooting technique in conjunction with Runga-Kutta 4th-order numerical scheme. The physical observations for velocity, temperature and quantities of engineering quantities are well presented using graphs and tables. One of the significant results of this study shows that with the use of blade shaped nanoparticles of both kind, maximum heat transfer at the disk surface is achieved and it is least when spherical shaped nanoparticles are used.



中文翻译:

磁盘上的$$ Al_2O_3-Cu $$ A l 2 O 3-C u杂化纳米液膜瞬态热毛细管流中的熵产生最小化

本文的研究目的是在磁流体动力学的考虑下,研究在磁盘上混合纳米液体薄膜非稳态热毛细管对流的情况下产生的熵。编写了一组使用Prandtl边界层理论的偏微分方程,以数学形式表示流动情况。在温度平衡方程中已经考虑了粘性和焦耳耗散的不可逆过程。适当的变换变量选择有助于来自代表流动现象的原始PDE的ODES系统。该ODE系统通过射击技术结合Runga-Kutta四阶数值方案解决。使用图形和表格很好地展示了速度,温度和工程量的物理观测结果。

更新日期:2021-05-08
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