Economically, steel cleanliness is important. Cleaner steel contains fewer inclusions. Inclusions are removed, and thus cleanliness improves when steel is molten. Consequently, simulation of steel flow must be as accurate as possible. Steel flow in tundishes and molds is turbulent. In most turbulent flows, it is assumed that turbulence is generated inside the flow rather than entering with inflow. Due to this assumption, inflow turbulence intensity (Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document}) is sometimes not reported. If Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document} is reported, its values differ greatly among different papers. The present study shows, for the first time, that Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document} must be accurately specified because it affects steel cleanliness. In other words, the inclusions’ interaction (RTD curves), slag turbulence intensity and other factors concerning steel cleanliness depend on Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document}. This dependence is proved numerically by applying different Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document}s to steel flows in two industrial tundishes, two industrial molds and water models of a tundish and a mold. In addition to revealing this dependence, the results also disclose interesting facts regarding steel cleanliness. For example, this article illustrates that a tundish’s performance can change with Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document}. Therefore, a tundish’s performance depends on the design of the upstream devices as well as its own design.

中文翻译：

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钢的清洁度取决于流入湍流强度（在中间包和模具中）

从经济上讲，钢材的清洁度很重要。清洁钢含有更少的夹杂物。去除夹杂物，从而在钢熔化时提高清洁度。因此，钢流的模拟必须尽可能准确。中间包和模具中的钢流是湍流的。在大多数湍流中，假设湍流是在流动内部产生的，而不是随着流入而进入的。由于这个假设，流入湍流强度 (Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage {upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document}) 有时不会被报告。If Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin }{-69pt} \begin{document}$$I_{\text{in}}$$\end{document} 被报道，其值在不同论文之间差异很大。本研究首次表明 Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document} 必须准确指定，因为它会影响钢材的清洁度。换句话说，夹杂物的相互作用（RTD 曲线），炉渣湍流强度和其他与钢材清洁度有关的因素取决于 Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document}。通过应用不同的 Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{ upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document} s 到钢在两个工业中间包、两个工业模具和水模型中流动一个中间包和一个模具。除了揭示这种依赖，结果还揭示了有关钢材清洁度的有趣事实。例如，这篇文章说明了中间包的性能可以随着 Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{ 而改变mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document}。因此，中间包的性能取决于上游设备的设计以及自身的设计。这篇文章说明了中间包的性能可以随着 Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \ 而改变usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document}。因此，中间包的性能取决于上游设备的设计以及自身的设计。这篇文章说明了中间包的性能可以随着 Iin\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \ 而改变usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$I_{\text{in}}$$\end{document}。因此，中间包的性能取决于上游设备的设计以及自身的设计。