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基于响应面法对碳纳米管在达西-福希海默流动中对旋转盘影响的敏感性研究。

A sensitivity study on carbon nanotubes significance in Darcy-Forchheimer flow towards a rotating disk by response surface methodology.

机构信息

School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, China.

Department of Statistics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan.

出版信息

Sci Rep. 2021 Apr 23;11(1):8812. doi: 10.1038/s41598-021-87956-8.

DOI:10.1038/s41598-021-87956-8
PMID:33893354
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8065062/
Abstract

The current research explores incremental effect of thermal radiation on heat transfer improvement corresponds to Darcy-Forchheimer (DF) flow of carbon nanotubes along a stretched rotating surface using RSM. Casson carbon nanotubes' constructed model in boundary layer flow is being investigated with implications of both single-walled CNTs and multi-walled CNTs. Water and Ethylene glycol are considered a basic fluid. The heat transfer rate is scrutinized via convective condition. Outcomes are observed and evaluated for both SWCNTs and MWCNTs. The Runge-Kutta Fehlberg technique of shooting is utilized to numerically solve transformed nonlinear ordinary differential system. The output parameters of interest are presumed to depend on governing input variables. In addition, sensitivity study is incorporated. It is noted that sensitivity of SFC via SWCNT-Water becomes higher by increasing values of permeability number. Additionaly, sensitivity of SFC via SWCNT-water towards the permeability number is higher than the solid volume fraction for medium and higher permeability levels. It is also noted that sensitivity of SFC (SWCNT-Ethylene-glycol) towards volume fraction is higher for increasing permeability as well as inertia coefficient. Additionally, the sensitivity of LNN towards the Solid volume fraction is higher than the radiation and Biot number for all levels of Biot number. The findings will provide initial direction for future device manufacturing.

摘要

当前的研究探讨了热辐射对热传递改进的增量效应，对应于使用 RSM 的碳纳米管沿拉伸旋转表面的 Darcy-Forchheimer (DF) 流动。使用单壁 CNT 和多壁 CNT 的含义，研究了边界层流动中 Casson 碳纳米管的构建模型。考虑水和乙二醇作为基本流体。通过对流条件来仔细研究传热速率。观察和评估了 SWCNT 和 MWCNT 的结果。使用 Runge-Kutta Fehlberg 打靶技术数值求解变换后的非线性常微分系统。假定感兴趣的输出参数取决于控制输入变量。此外，还进行了敏感性研究。值得注意的是，通过 SWCNT-水的 SFC 的灵敏度通过增加渗透率数值而变得更高。此外，对于中等和较高的渗透率水平，SWCNT-水的 SFC 对渗透率数的敏感性高于固相分数。还值得注意的是，随着渗透率和惯性系数的增加，SFC（SWCNT-乙二醇）对体积分数的敏感性也更高。此外，对于所有 Biot 数水平，LNN 对固相分数的敏感性都高于辐射和 Biot 数。这些发现将为未来的设备制造提供初步指导。

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