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arXiv 0811.1432cond-mat.mtrl-sci
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非等温单步相变的简单近似解析解:动力学分析

Simple approximate analytical solution for non-isothermal single-step transformations: kinetic analysis

Jordi Farjas, Pere Roura

摘要:

本文提出了一种在非等温条件下求解单步相变演化的近似解的方法。我们已将它应用于许多反应模型,并得到了非常简单的解析表达式,相应的转化率峰的形状。这些解析解代表了系统描述的显著简化,允许容易的曲线拟合实验。一个显着的性质是,在不同的加热速率下获得的转化分数的演变是相同的时间由一个时间常数标度时。与我们的方法实现的准确性检查对几个反应模型和不同的温度依赖性的转变速率常数。结果表明,该方法的精度与Kissinger方法的精度密切相关。

英文摘要:

In this paper, we develop a method for obtaining the approximate solution for the evolution of single-step transformations under non-isothermal conditions. We have applied it to many reaction models and obtained very simple analytical expressions for the shape of the corresponding transformation rate peaks. These analytical solutions represent a significant simplification of the system's description allowing easy curve fitting to experiment. A remarkable property is that the evolutions of the transformed fraction obtained at different heating rates are identical when time is scaled by a time constant. The accuracy achieved with our method is checked against several reaction models and different temperature dependencies of the transformation rate constant. It is shown that its accuracy is closely related with that of the Kissinger method.

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