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水通过加速平板的磁流体动力学流动的熵产生分析。

Entropy generation analysis for MHD flow of water past an accelerated plate.

作者信息

Abdelhameed Tarek N

机构信息

Basic Engineering Sciences Department, College of Engineering, Majmaah University, Majmaah, 11952, Saudi Arabia.

Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, 62514, Egypt.

出版信息

Sci Rep. 2021 Jun 7;11(1):11964. doi: 10.1038/s41598-021-89744-w.

DOI:10.1038/s41598-021-89744-w
PMID:34099739
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8382041/
Abstract

This article examines the entropy generation in the magnetohydrodynamics (MHD) flow of Newtonian fluid (water) under the effect of applied magnetic in the absence of an induced magnetic field. More precisely, the flow of water is considered past an accelerated plate such that the fluid is receiving constant heating from the initial plate. The fluid disturbance away from the plate is negligible, therefore, the domain of flow is considered as semi-infinite. The flow and heat transfer problem is considered in terms of differential equations with physical conditions and then the corresponding equations for entropy generation and Bejan number are developed. The problem is solved for exact solutions using the Laplace transform and finite difference methods. Results are displayed in graphs and tables and discussed for embedded flow parameters. Results showed that the magnetic field has a strong influence on water flow, entropy generation, and Bejan number.

摘要

本文研究了在无感应磁场情况下，外加磁场作用下牛顿流体（水）的磁流体动力学（MHD）流动中的熵产生。更确切地说，考虑水绕过一个加速平板流动，使得流体从初始平板接收恒定的热量。远离平板的流体扰动可忽略不计，因此，流动区域被视为半无限大。从带有物理条件的微分方程角度考虑流动和传热问题，然后推导相应的熵产生方程和贝扬数方程。使用拉普拉斯变换和有限差分法求解该问题以获得精确解。结果以图表形式展示，并针对嵌入的流动参数进行讨论。结果表明，磁场对水流、熵产生和贝扬数有强烈影响。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/d4c614965096/41598_2021_89744_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/7e14a0c12e9e/41598_2021_89744_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/34ce259f53c8/41598_2021_89744_Fig2_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/19fb132c945d/41598_2021_89744_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/925144e7d4e1/41598_2021_89744_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/4305400fb8b7/41598_2021_89744_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/9cfb3ee47575/41598_2021_89744_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/b6b6b5510e10/41598_2021_89744_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/d4c614965096/41598_2021_89744_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/7e14a0c12e9e/41598_2021_89744_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/34ce259f53c8/41598_2021_89744_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/4b8d0588af5e/41598_2021_89744_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/64c4c394f164/41598_2021_89744_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/19fb132c945d/41598_2021_89744_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/925144e7d4e1/41598_2021_89744_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/4305400fb8b7/41598_2021_89744_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/9cfb3ee47575/41598_2021_89744_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/b6b6b5510e10/41598_2021_89744_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bb74/8382041/d4c614965096/41598_2021_89744_Fig11_HTML.jpg

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本文引用的文献

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Theoretical investigation of Ree-Eyring nanofluid flow with entropy optimization and Arrhenius activation energy between two rotating disks.双旋转盘间 Ree-Eyring 纳米流体流动的理论研究：熵优化和 Arrhenius 激活能。
Comput Methods Programs Biomed. 2019 Aug;177:57-68. doi: 10.1016/j.cmpb.2019.05.012. Epub 2019 May 17.
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A comparative study of Casson fluid with homogeneous-heterogeneous reactions.
考察具有纳米颗粒和多重滑移效应的纳米流体的热跃变条件。
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4
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Casson 流体的均相-非均相反应比较研究。
J Colloid Interface Sci. 2017 Jul 15;498:85-90. doi: 10.1016/j.jcis.2017.03.024. Epub 2017 Mar 9.
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