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具有阿累尼乌斯活化能和不可逆过程的Casson纳米流体流动中热传输的偏微分方程建模

Partial differential equations modeling of thermal transportation in Casson nanofluid flow with arrhenius activation energy and irreversibility processes.

作者信息

Al Oweidi Khalid Fanoukh, Jamshed Wasim, Goud B Shankar, Ullah Imran, Mohamed Isa Siti Suzilliana Putri, El Din Sayed M, Guedri Kamel, Jaleel Refed Adnan

机构信息

Department of Water Resources Management Engineering, College of Engineering, Al-Qasim Green University, Babylon, Iraq.

Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad, 44000, Pakistan.

出版信息

Sci Rep. 2022 Nov 29;12(1):20597. doi: 10.1038/s41598-022-25010-x.

DOI:10.1038/s41598-022-25010-x
PMID:36446992
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9708821/
Abstract

The formation of entropy in a mixed convection Casson nanofluid model with Arhenius activation energy is examined in this paper using magnetohydrodynamics (MHD). The expanding sheet, whose function of sheet velocity is nonlinear, confines the Casson nanofluid. The final equations, which are obtained from the first mathematical formulations, are solved using the MATLAB built-in solver bvp4c. Utilizing similarity conversion, ODEs are converted in their ultimate form. A number of graphs and tabulations are also provided to show the effects of important flow parameters on the results distribution. Slip parameter was shown to increase fluid temperature and decrease entropy formation. On the production of entropy, the Brinkman number and concentration gradient have opposing effects. In the presence of nanoparticles, the Eckert number effect's augmentation of fluid temperature is more significant. Furthermore, a satisfactory agreement is reached when the findings of the current study are compared to those of studies that have been published in the past.

摘要

本文利用磁流体动力学(MHD)研究了具有阿累尼乌斯活化能的混合对流卡森纳米流体模型中的熵形成。具有非线性平板速度函数的膨胀平板限制了卡森纳米流体。从第一个数学公式得到的最终方程使用MATLAB内置求解器bvp4c进行求解。利用相似变换,将常微分方程(ODEs)转化为其最终形式。还提供了一些图表来展示重要流动参数对结果分布的影响。结果表明,滑移参数会提高流体温度并降低熵形成。关于熵的产生, Brinkman数和浓度梯度具有相反的影响。在存在纳米颗粒的情况下,埃克特数对流体温度的影响增强更为显著。此外,将本研究的结果与过去发表的研究结果进行比较时,达成了令人满意的一致性。

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