Kinetics of nonisothermal phase change with arbitrary temperature–time history and initial transformed phase distributions

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https://hdl.handle.net/11299/241500

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Keywords

Supercooling

Crystallization

Phase transitions

Collection period

2021-02-01
2021-09-21

Date completed

2021-09-21

Date updated

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Journal Title

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Title

Kinetics of nonisothermal phase change with arbitrary temperature–time history and initial transformed phase distributions

Published Date

2022-09-08

Authors

Kangas, Joseph

Bischof, John

Hogan, Christopher

Group

University of Minnesota Hogan's Lab
University of Minnesota Bioheat and Mass Transfer Laboratory

Author Contact

Hogan, Christopher
hogan108@umn.edu

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Dataset
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Simulation Data

Abstract

This paper describes the extension of the classic Avrami equation to nonisothermal systems with arbitrary temperature–time history and arbitrary initial distributions of transformed phase. We start by showing that through examination of phase change in Fourier space, we can decouple the nucleation rate, growth rate, and transformed fraction, leading to the derivation of a nonlinear differential equation relating these three properties. We then consider a population balance partial differential equation (PDE) on the phase size distribution and solve it analytically. Then, by relating this PDE solution to the transformed fraction of phase, we are able to derive initial conditions to the differential equation relating nucleation rate, growth rate, and transformed fraction.

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This data set includes the supporting data for the article, Kinetics of nonisothermal phase change with arbitrary temperature–time history and initial transformed phase distributions.

Referenced by

https://doi.org/10.1063/5.0072299

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License

CC0 1.0 Universal
http://creativecommons.org/publicdomain/zero/1.0/

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Data Repository for U of M (DRUM)

Funding information

National Science Foundation, Grant No. 1941543

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Previously Published Citation

Suggested citation

Kangas, Joseph; Bischof, John; Hogan, Christopher. (2022). Kinetics of nonisothermal phase change with arbitrary temperature–time history and initial transformed phase distributions. Retrieved from the Data Repository for the University of Minnesota (DRUM), https://hdl.handle.net/11299/241500.

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