A mathematical model for the thermal state of a steel ladle

IF 1.7 3区 材料科学 Q2 METALLURGY & METALLURGICAL ENGINEERING
Ilpo Mäkelä, Ville-Valtteri Visuri, T. Fabritius
{"title":"A mathematical model for the thermal state of a steel ladle","authors":"Ilpo Mäkelä, Ville-Valtteri Visuri, T. Fabritius","doi":"10.1080/03019233.2023.2201544","DOIUrl":null,"url":null,"abstract":"ABSTRACT A dynamic one-dimensional mathematical model was developed for predicting the thermal state of a steelmaking ladle. The model is intended to be used in process control applications, in which fast computational times are desirable alongside model accuracy. The calculation domain was discretized using the finite difference method, and time integration was performed using both the implicit Euler and Crank–Nicolson methods, the performances of which were compared. The model was implemented in Python programming language and validated using data from our own measurements and other studies available in the literature. The results indicate that the model can reproduce the measured temperature evolution of the ladles within 5°C at best. The worst performance was observed during cooling, where the model underestimates the temperature at the innermost measurement point by up to 200°C. With computation times of around 16–23 s for one hour of simulation, the model is computationally sufficiently fast for online applications.","PeriodicalId":14753,"journal":{"name":"Ironmaking & Steelmaking","volume":"50 1","pages":"867 - 877"},"PeriodicalIF":1.7000,"publicationDate":"2023-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ironmaking & Steelmaking","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1080/03019233.2023.2201544","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"METALLURGY & METALLURGICAL ENGINEERING","Score":null,"Total":0}
引用次数: 0

Abstract

ABSTRACT A dynamic one-dimensional mathematical model was developed for predicting the thermal state of a steelmaking ladle. The model is intended to be used in process control applications, in which fast computational times are desirable alongside model accuracy. The calculation domain was discretized using the finite difference method, and time integration was performed using both the implicit Euler and Crank–Nicolson methods, the performances of which were compared. The model was implemented in Python programming language and validated using data from our own measurements and other studies available in the literature. The results indicate that the model can reproduce the measured temperature evolution of the ladles within 5°C at best. The worst performance was observed during cooling, where the model underestimates the temperature at the innermost measurement point by up to 200°C. With computation times of around 16–23 s for one hour of simulation, the model is computationally sufficiently fast for online applications.
钢包热状态的数学模型
摘要建立了一个动态的一维数学模型来预测钢包的热状态。该模型旨在用于过程控制应用,在过程控制应用中,除了模型精度外,还需要快速的计算时间。使用有限差分法对计算域进行离散化,并使用隐式Euler和Crank–Nicolson方法进行时间积分,比较了两者的性能。该模型是用Python编程语言实现的,并使用我们自己的测量数据和文献中的其他研究进行了验证。结果表明,该模型最多能再现5°C内钢包的实测温度演变。在冷却过程中观察到最差的性能,其中模型低估了最内部测量点的温度高达200°C。计算时间约为16-23 对于一个小时的模拟,该模型在计算上足够快,可以用于在线应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Ironmaking & Steelmaking
Ironmaking & Steelmaking 工程技术-冶金工程
CiteScore
3.70
自引率
9.50%
发文量
125
审稿时长
2.9 months
期刊介绍: Ironmaking & Steelmaking: Processes, Products and Applications monitors international technological advances in the industry with a strong element of engineering and product related material. First class refereed papers from the international iron and steel community cover all stages of the process, from ironmaking and its attendant technologies, through casting and steelmaking, to rolling, forming and delivery of the product, including monitoring, quality assurance and environmental issues. The journal also carries research profiles, features on technological and industry developments and expert reviews on major conferences.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信