Thermal model of a solar concentration cooker: a parameter variation study to estimate thermal properties

González-Avilés, Mauricio; González-Avilés, J. J.; Servín-Campuzano, Hermelinda

doi:10.23967/j.rimni.2018.11.006

Cited by 1 publication

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“…number of adherents) viewpoint. Their model was applied to religions in Mexico by González-Aviles & Campuzano [ 78 ], who defined nucleation as the initial change in the state of a small but stable religion and approximated the percentage of adherents (with respect to the world population) as a function of time. The Avrami exponent (−0.502 ≤ n ≤ 1.379) was introduced as a measure of the increase or decline in the percentage of adherents; however, the accompanying explanation appears to be inconsistent with the numerical interpretation of n in the context of crystal growth.…”

Section: Applications Of the Avrami Equation In The Life Sciences And...mentioning

confidence: 99%

A critical review on applications of the Avrami equation beyond materials science

Shirzad

Viney

2023

J. R. Soc. Interface.

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The Johnson–Mehl–Avrami–Kolmogorov (JMAK) formalization, often referred to as the Avrami equation, was originally developed to describe the progress of phase transformations in material systems. Many other transformations in the life, physical and social sciences follow a similar pattern of nucleation and growth. The Avrami equation has been applied widely to modelling such phenomena, including COVID-19, regardless of whether they have a formal thermodynamic basis. We present here an analytical overview of such applications of the Avrami equation outside its conventional use, emphasizing examples from the life sciences. We discuss the similarities that at least partially justify the extended application of the model to such cases. We point out the limitations of such adoption; some are inherent to the model itself, and some are associated with the extended contexts. We also propose a reasoned justification for why the model performs well in many of these non-thermodynamic applications, even when some of its fundamental assumptions are not satisfied. In particular, we explore connections between the relatively accessible verbal and mathematical language of everyday nucleation- and growth-based phase transformations, represented by the Avrami equation, and the more challenging language of the classic SIR (susceptible-infected-removed) model in epidemiology.

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Section: Applications Of the Avrami Equation In The Life Sciences And...mentioning

confidence: 99%

A critical review on applications of the Avrami equation beyond materials science

Shirzad

Viney

2023

J. R. Soc. Interface.

View full text Add to dashboard Cite

show abstract

Thermal model of a solar concentration cooker: a parameter variation study to estimate thermal properties

Cited by 1 publication

References 0 publications

A critical review on applications of the Avrami equation beyond materials science

A critical review on applications of the Avrami equation beyond materials science

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