Analysis of kinetic data by Johnson-Mehl equation

Sarkar, S. B.; Ray, H. S.

doi:10.1007/bf01912085

Cited by 11 publications

(4 citation statements)

References 3 publications

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“…When f 1, during the early stages of recrystallization, this expression provides a good approximation to experiment; however, once the plateau region is reached at the later stages of recrystallization the formation rate slows and one must turn to the Kolmogorov-Johnson-Mehl-Avrami (KJMA) equation [426][427][428][429][430][431][432]:…”

Section: Crystallization and Recrystallizationmentioning

confidence: 99%

Modelling of nanoparticles: approaches to morphology and evolution

2010

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As we learn more about the physics, chemistry and engineering of materials at the nanoscale, we find that the development of a complete understanding is not (in general) possible using one technique alone. Computer simulations provide a very valuable addition to our scientific repertoire, but it is not immediately intuitive which of the many methods available are right for a given problem. In this paper, various computational approaches are described as they apply to the study of the structure and formation of discrete inorganic nanoparticles. To illustrate how these methods are best used, results of studies from many research groups are reviewed, and informal case studies are constructed on carbon, titania and gold nanoparticles.

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Section: Crystallization and Recrystallizationmentioning

confidence: 99%

Modelling of nanoparticles: approaches to morphology and evolution

2010

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“…In order to develop the model that predicts the air-oxidation breakaway timing, literature regarding the phase transformation from tetragonal to monoclinic ZrO 2 were investigated. Tsubakino et al reported the relationship between the phase transformation (tetragonal to monoclinic) time and temperature using the Johnson-Mehl equation (Equation ( 2)) [21,22], which describes the time-transformation isotherms in alloy systems [23].…”

Section: Development Of the Improved Air-oxidation Breakaway Modelmentioning

confidence: 99%

A Study of Prediction Model Improvement for Air-Oxidation Breakaway in a Postulated Spent Nuclear Fuel Pool Complete Loss of Coolant Accident

Park¹,

Lee

Park

2021

Sustainability

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The temperature of zirconium alloy cladding on the postulated spent nuclear fuel pool complete loss of coolant accident is abruptly increased at a certain time and the cladding is almost fully oxidized to weak ZrO2 in the air. This abrupt temperature escalation phenomenon induced by the air-oxidation breakaway is called a zirconium fire. Although an air-oxidation breakaway kinetic model correlated between time and temperature has been implemented in the MELCOR code, it is likely to bring about unexpected large errors because of many limitations of model derivation. This study suggests an improved time–temperature correlated kinetic model using the Johnson–Mehl equation. It is based on that the air-oxidation breakaway is initiated by the phase transformation from the tetragonal to monoclinic ZrO2 at the oxide–metal interface in the cladding. This new model equation is also evaluated with the Zry-4 air-oxidation literature data. This equation resulted in the almost similar air-oxidation breakaway timing to the actual experimental data at 800 °C. However, at 1000 °C, it showed an error of about 8 min. This could be inferred from the influence of the ZrN phase change due to the nitrogen existing in air.

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“…In a recent paper [6] Sarkar and Ray have suggested that this equation is not a true kinetic equation on the premise that it cannot be expressed in the form of a standard kinetic equation (2) where K(T) is the rate constant and f(a) is a function of a. (15) of [6]) the authors used for kinetic plots in their paper. (1) after suitable manipulation can be expressed in a form given by Eq.…”

mentioning

confidence: 99%

“…This is not so since Eq. 7 of [6]) the authors claim that the gradient is given by -a/(1-a), a term that increases monotonously. This is the equation (Eq.…”

mentioning

confidence: 99%