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Scaling expressions of characteristic values for a moving point heat source in steady state on a semi-infinite solid

机译:半无限实体上稳态的移动点热源特征值的比例表达式

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Engineering expressions for characteristic values of a moving point heat source on a semi-infinite solid are presented. Related characteristic values are: maximum isotherm width and its location, leading and trailing lengths of isotherm, centerline heating rate and cooling rate, maximum temperature and its gradient at maximum width, aspect ratio of isotherms, melting efficiency, cooling time from 800 degrees C to 500 degrees C (often used for studying steels), solidification time, the thickness of zone affected by the heat source, and modification criteria to account for the effect of joint preparation. All engineering expressions proposed are accurate to within 7% of the exact analytical solutions, and are obtained with a systematic approach. Dimensional analysis indicates that the expressions developed depend on a single dimensionless parameter that captures all possible cases. This dimensionless number is typically the Rykalin number (Ry), which characterizes three dimensional heat flow induced by a moving point heat source. The obtained engineering equations are of great practical value for very diverse fields where moving heat sources are involved, and are simple enough to be calculated with a calculator or spreadsheet. (C) 2019 Elsevier Ltd. All rights reserved.
机译:给出了半无限固体上移动点热源特征值的工程表达式。相关的特征值包括:最大等温线宽度及其位置,等温线的前后长度,中心线加热速率和冷却速率,最大宽度处的最大温度及其梯度,等温线的长宽比,熔化效率,从800摄氏度到500摄氏度(通常用于研究钢材),凝固时间,受热源影响的区域的厚度以及考虑接缝准备效果的修改标准。提出的所有工程表达式均精确到精确分析解决方案的7%以内,并且是通过系统方法获得的。维度分析表明,开发的表达式取决于捕获所有可能情况的单个无量纲参数。该无量纲数通常为Rykalin数(Ry),它表示由移动点热源引起的三维热流。所获得的工程方程对于涉及移动热源的非常广泛的领域具有很大的实用价值,并且足够简单,可以使用计算器或电子表格进行计算。 (C)2019 Elsevier Ltd.保留所有权利。

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