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悬浮于四元混合纳米颗粒的垂直圆盘上的交叉流体模型的有限元分析

Finite element analysis of cross fluid model over a vertical disk suspended to a tetra hybrid nanoparticles mixture.

作者信息

Sohail Muhammad, Nazir Umar, Singh Abha, Tulu Ayele, Khan Muhammad Jahangir

机构信息

Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, 64200, Pakistan.

Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand.

出版信息

Sci Rep. 2024 Jan 17;14(1):1520. doi: 10.1038/s41598-024-51262-w.

Abstract

Nanoparticles have numerous applications and are used frequently in different cooling, heating, treatment of cancer cells and manufacturing processes. The current investigation covers the utilization of tetra hybrid nanofluid (aluminum oxide, iron dioxide, titanium dioxide and copper) for Crossflow model over a vertical disk by considering the shape effects (bricks, cylindrical and platelet) of nanoparticles, electro-magneto-hydrodynamic effect and quadratic thermal radiation. In the current inspection model is first derived given PD-equations and then altered into a system of OD-equations by including similarity variables. The converted ordinary differential equations are solved by using the finite element procedure and the impact of the solution against numerous involved parameters is displayed through tables and graphs. It is observed that tetra-hybrid nanoparticles are recommended better in industrial applications where the highest production of thermal energy. Moreover, an enhancement of thermal production can be achieved utilizing different values of the magnetic parameter, time relaxation number, variable thermal radiation number and magnetic induction number but the opposite trend has been noticed with the effects of radiation number.

摘要

纳米颗粒有众多应用,并且经常用于不同的冷却、加热、癌细胞治疗及制造工艺中。当前的研究涵盖了四元混合纳米流体(氧化铝、二氧化铁、二氧化钛和铜)在垂直圆盘上的错流模型中的应用,其中考虑了纳米颗粒的形状效应(砖形、圆柱形和片状)、电磁流体动力学效应和二次热辐射。在当前的研究中,首先根据偏微分方程推导模型,然后通过引入相似变量将其转化为常微分方程组。使用有限元程序求解转化后的常微分方程,并通过表格和图表展示解对众多相关参数的影响。可以观察到,在热能产量最高的工业应用中,推荐使用四元混合纳米颗粒。此外,利用磁参数、时间松弛数、可变热辐射数和磁感应数的不同值可以实现热产量的提高,但辐射数的影响呈现相反趋势。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/23c2/10794221/70c3ca7b90f5/41598_2024_51262_Fig1_HTML.jpg

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