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具有非线性热辐射的垂直 Riga 板上 MHD 威廉姆森纳米流体流动中的熵优化与传热分析

Entropy optimization and heat transfer analysis in MHD Williamson nanofluid flow over a vertical Riga plate with nonlinear thermal radiation.

作者信息

Rooman Muhammad, Jan Muhammad Asif, Shah Zahir, Kumam Poom, Alshehri Ahmed

机构信息

Institute of Numerical Sciences, Kohat University of Science and Technology KUST, Kohat, 26000, Khyber Pakhtoonkhwa, Pakistan.

Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat, 28420, Khyber Pakhtunkhwa, Pakistan.

出版信息

Sci Rep. 2021 Sep 15;11(1):18386. doi: 10.1038/s41598-021-97874-4.

DOI:10.1038/s41598-021-97874-4
PMID:34526593
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8443740/
Abstract

The entropy generation for a reactive Williamson nanofluid flow past a vertical Riga system is the subject of this article. The effects of MHD, thermophoresis, nonlinear heat radiation and varying heat conductivity are modeled into the heat equation in the established model. Suitable similarity transformations are examined to bring down the partial differential equations into ordinary differential equations. The Homotopy analysis approach is used to solve the dimensionless transport equations analytically. The graphic information of the various parameters that emerged from the model is effectively collected and deliberated. The temperature field expands with thermophoresis, Brownian motion and temperature ratio parameters as the modified Hartmann number forces an increase in velocity, according to the findings of this analysis. With the increase in the fluid material terms, the entropy generation and Bejan number increase. Riga plate has numerous applications in improving the thermo-physics features of a fluid, the value of magnetic field embraces an important role in fluid mechanics. An external electric field can be used to control flow in weak electrically conductive fluids. The Riga plate is one of the devices used in this regard. It's a device that creates electromagnetic fields. They produce the Lorentz force which is a force that directs fluid flow. The authors have discussed the entropy optimization for a reactive Williamson nanofluid flow past a vertical Riga plate is addressed. This is the first investigation on mass and heat transfer flow that the authors are aware of, and no similar work has yet been published in the literature. A thorough mathematical examination is also required to demonstrate the model's regularity. The authors believe that the results acquired are novel and have not been plagiarized from any other sources.

摘要

本文研究了反应性威廉姆森纳米流体流经垂直 Riga 系统时的熵产生问题。在已建立的模型中,将磁流体动力学、热泳、非线性热辐射和变化的热导率等影响因素纳入热方程。研究了合适的相似变换,将偏微分方程转化为常微分方程。采用同伦分析方法对无量纲传输方程进行解析求解。有效地收集并讨论了模型中出现的各种参数的图形信息。根据该分析结果,随着修正哈特曼数使速度增加,温度场随热泳、布朗运动和温度比参数而扩展。随着流体材料项的增加,熵产生和贝扬数增加。Riga 板在改善流体的热物理特性方面有许多应用,磁场值在流体力学中起着重要作用。外部电场可用于控制弱导电流体中的流动。Riga 板是用于这方面的装置之一。它是一种产生电磁场的装置。它们产生洛伦兹力,该力引导流体流动。作者讨论了反应性威廉姆森纳米流体流经垂直 Riga 板的熵优化问题。这是作者所知的关于质量和传热流动的首次研究,文献中尚未发表类似工作。还需要进行全面的数学检验以证明该模型的合理性。作者认为所获得的结果是新颖的,并非抄袭其他任何来源。

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