Modification of the Kolmogorov-Johnson-Mehl-Avrami rate equation for non-isothermal experiments and its analytical solution
196 citations recorded by the source corpus.
Avrami's model describes the kinetics of phase transformation under the assumption of spatially random nucleation. In this paper we provide a quasi-exact analytical solution of Avrami's model when the transformation takes place under continuous heating. This solution has been obtained with different activation energies for both nucleation and growth rates. The relation obtained is also a solution of the so-called Kolmogorov-Johnson-Mehl-Avrami transformation rate equation. The corresponding non-isothermal Kolmogorov-Johnson-Mehl-Avrami transformation rate equation only differs from the one obtained under isothermal conditions by a constant parameter, which only depends on the ratio between nucleation and growth rate activation energies. Consequently, a minor correction allows us to extend the Kolmogorov-Johnson-Mehl-Avrami transformation rate equation to continuous heating conditions.
Subfields: Materials Chemistry, Organic Chemistry
View Paper: https://www.semanticscholar.org/paper/14c4842ea3cba7ac8f1313061c9dd80eee6da71a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Materials Chemistry
In Organic Chemistry
Citations in the corpus
- Isoconversional analysis of solid state transformations (2011, background): “The activation energy for homogeneous nucleation and threedimensional growth, EH = (3EG ? EN)/4 = 352 kJ/mol [2], is higher than EG.”
- Approaches to Modeling of Recrystallization (2011, methodology): “Limitations and modifications of the KJMA model are discussed in [20–22].”