This work aimed to mathematically model the glass transition temperature (Tg), one of the most important parameters regarding the behavior of slag, responsible for the sudden change in thermomechanical properties of non-crystalline materials, by the chemical composition of the SiO2-Na2O-CaO system, widely applicable in the production of glasses and constituent of iron, magnesium and aluminum metallurgy slags. The SciGlass database was used to provide data for mathematical modeling through the Python programming language, using the method of least squares. A new equation was established, called P Model, and it presented a lower mean absolute error and lower standard deviation of absolute errors in relation to 3 equations in the literature. The raised equation provides significant results in the mathematical modeling of Tg by the chemical system SiO2-Na2O-CaO, valid for the limits of the data used in the mathematical modeling.
翻译:这项工作旨在从数学上模拟玻璃转换温度(Tg),这是关于炉渣行为的最重要参数之一,它通过SiO2-Na2O-CaO系统的化学构成,对非晶体材料的热力机械性能突变负有责任,该化学构成广泛适用于玻璃生产以及铁、镁和铝冶金炉渣的成分。SciGlass数据库用于利用最小方块的方法,通过Python编程语言提供数学建模数据。建立了一个新的方程式,称为P模型,它为文献中3个方块的绝对误差提供了一个较低的平均绝对误差和较低的标准偏差。提出的方程式为化学系统SiO2-Na2O-CaO的Tg数学建模提供了重大结果,该模型对数学模型中所使用的数据界限有效。