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含有碳纳米管的纳米流体流动，具有四次自催化化学反应以及边界处的汤普森和特罗伊安滑移。

Nanofluid flow containing carbon nanotubes with quartic autocatalytic chemical reaction and Thompson and Troian slip at the boundary.

作者信息

Ramzan Muhammad, Chung Jae Dong, Kadry Seifedine, Chu Yu-Ming, Akhtar Muhammad

机构信息

Department of Computer Science, Bahria University, Islamabad, 44000, Pakistan.

Department of Mechanical Engineering, Sejong University, Seoul, 143-747, South Korea.

出版信息

Sci Rep. 2020 Oct 30;10(1):18710. doi: 10.1038/s41598-020-74855-7.

DOI:10.1038/s41598-020-74855-7
PMID:33127997
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7603354/
Abstract

A mathematical model is envisioned to discourse the impact of Thompson and Troian slip boundary in the carbon nanotubes suspended nanofluid flow near a stagnation point along an expanding/contracting surface. The water is considered as a base fluid and both types of carbon nanotubes i.e., single-wall (SWCNTs) and multi-wall (MWCNTs) are considered. The flow is taken in a Dacry-Forchheimer porous media amalgamated with quartic autocatalysis chemical reaction. Additional impacts added to the novelty of the mathematical model are the heat generation/absorption and buoyancy effect. The dimensionless variables led the envisaged mathematical model to a physical problem. The numerical solution is then found by engaging MATLAB built-in bvp4c function for non-dimensional velocity, temperature, and homogeneous-heterogeneous reactions. The validation of the proposed mathematical model is ascertained by comparing it with a published article in limiting case. An excellent consensus is accomplished in this regard. The behavior of numerous dimensionless flow variables including solid volume fraction, inertia coefficient, velocity ratio parameter, porosity parameter, slip velocity parameter, magnetic parameter, Schmidt number, and strength of homogeneous/heterogeneous reaction parameters are portrayed via graphical illustrations. Computational iterations for surface drag force are tabulated to analyze the impacts at the stretched surface. It is witnessed that the slip velocity parameter enhances the fluid stream velocity and diminishes the surface drag force. Furthermore, the concentration of the nanofluid flow is augmented for higher estimates of quartic autocatalysis chemical.

摘要

设想一个数学模型来论述汤普森和特罗亚滑移边界对沿扩张/收缩表面滞止点附近碳纳米管悬浮纳米流体流动的影响。水被视为基液，同时考虑了两种类型的碳纳米管，即单壁碳纳米管（SWCNTs）和多壁碳纳米管（MWCNTs）。流动发生在与四次自催化化学反应合并的达西 - 福希海默多孔介质中。添加到数学模型新颖性中的额外影响是热生成/吸收和浮力效应。无量纲变量将设想的数学模型转化为一个物理问题。然后通过使用MATLAB内置的bvp4c函数求解无量纲速度、温度和均相 - 非均相反应，得到数值解。通过将所提出的数学模型与极限情况下发表的一篇文章进行比较，确定了该数学模型的有效性。在这方面达成了极好的共识。通过图形说明描绘了许多无量纲流动变量的行为，包括固体体积分数、惯性系数、速度比参数、孔隙率参数、滑移速度参数、磁参数、施密特数以及均相/非均相反应参数的强度。列出了表面阻力的计算迭代结果，以分析拉伸表面处的影响。可以看出，滑移速度参数提高了流体流速并减小了表面阻力。此外，对于更高的四次自催化化学估计值，纳米流体流动的浓度会增加。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/efd552ed5464/41598_2020_74855_Fig16_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/efd552ed5464/41598_2020_74855_Fig16_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/c189d9ca3b65/41598_2020_74855_Fig1_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/b0b0116195f4/41598_2020_74855_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/c005212cb5fe/41598_2020_74855_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/149c6a1a3746/41598_2020_74855_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/283bffcf09ed/41598_2020_74855_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/c0218a43d990/41598_2020_74855_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/7585233f6bc7/41598_2020_74855_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/bb6ae7dc6250/41598_2020_74855_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/d2afc321c351/41598_2020_74855_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/0a4c209b23f1/41598_2020_74855_Fig13_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/48f0303e3591/41598_2020_74855_Fig14_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/0a262c1b8aee/41598_2020_74855_Fig15_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6d06/7603354/efd552ed5464/41598_2020_74855_Fig16_HTML.jpg

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