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通过多孔拉伸片对拟塑性液体中三元混合纳米颗粒热增强的有限元分析。

Finite element analysis for ternary hybrid nanoparticles on thermal enhancement in pseudo-plastic liquid through porous stretching sheet.

作者信息

Sohail Muhammad, El-Zahar Essam R, Mousa Abd Allah A, Nazir Umar, Althobaiti Saad, Althobaiti Ali, Shah Nehad Ali, Chung Jae Dong

机构信息

Department of Mathematics, Khwaja Fareed University of Engineering & Information Technology, Rahim Yar Khan, 64200, Pakistan.

Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, P.O. Box 83, Al-Kharj, 11942, Saudi Arabia.

出版信息

Sci Rep. 2022 Jun 2;12(1):9219. doi: 10.1038/s41598-022-12857-3.

Abstract

Thermal performance can be enhanced due to the mixing of nanoparticles in base fluid. This research discusses the involvement of ternary hybrid nanoparticles in the mixture of pseudo-plastic fluid model past over a two dimensional porous stretching sheet. Modelling of energy equation is carried out in the presence of external heat source or sink and viscous dissipation. The flow presenting equations and derived in Cartesian coordinate system under usual boundary layer theory in the form of complex coupled partial differential equations (PDEs). The derived PDEs have been converted into corresponding ordinary differential equations (ODEs) with the engagement of suitable transformation. The engineers, scientists and mathematicians have great interest in the solution of differential equations because to understand the real physics of the problem. Here, finite element scheme has been used to approximate the solution of the converted problem. The contribution of several emerging parameters on solution have been displayed through graphs and discussed. It is recommended that the finite element method can be engaged to approximate the solution of nonlinear problems arising in modelling the problem in mathematical physics.

摘要

由于纳米颗粒与基液混合,热性能得以增强。本研究探讨了三元混合纳米颗粒在二维多孔拉伸片上流过的拟塑性流体模型混合物中的作用。在存在外部热源或热汇以及粘性耗散的情况下进行能量方程建模。流动呈现方程是在笛卡尔坐标系中根据常规边界层理论以复杂耦合偏微分方程(PDEs)的形式推导出来的。通过适当的变换,导出的PDEs已转换为相应的常微分方程(ODEs)。工程师、科学家和数学家对微分方程的解非常感兴趣,因为这有助于理解问题的实际物理情况。在此,采用有限元格式来近似求解转换后的问题。通过图表展示并讨论了几个新出现的参数对解的影响。建议可以采用有限元方法来近似求解数学物理问题建模中出现的非线性问题的解。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d914/9163131/d76be34aa9eb/41598_2022_12857_Fig1_HTML.jpg

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