Phys. Rev. E 109, 014617 (2024) - Prediction of temperature-dependent nucleation and growth rates from crystallization-related heat release

Prediction of temperature-dependent nucleation and growth rates from crystallization-related heat release

Joseph Kangas and Christopher J. Hogan, Jr.

Phys. Rev. E 109, 014617 – Published 31 January 2024

Abstract

We propose a method for determining the time and, therefore, temperature-dependent relative nucleation and growth rates during crystallization. We do so by linking the partial differential equation governing the time dynamics of the crystal size distribution to kinetic (Avrami) parameters describing heat release. This approach is tested in silico by nucleating and growing diffusion limited aggregates with time-varying morphology and growth rates unhindered by impingement. The associated heat release is analyzed, showing that nucleation and growth rates could be extracted with high fidelity.

Received 2 April 2023
Revised 12 July 2023
Accepted 12 December 2023

DOI:https://doi.org/10.1103/PhysRevE.109.014617

©2024 American Physical Society

Physics Subject Headings (PhySH)

Crystal growth Nucleation

Interdisciplinary PhysicsCondensed Matter, Materials & Applied PhysicsPolymers & Soft Matter

Authors & Affiliations

Joseph Kangas ^* and Christopher J. Hogan, Jr.^†

Department of Mechanical Engineering, University of Minnesota. 111 Church St SE, Minneapolis MN 55455, USA

^*kanga134@umn.edu
^†hogan108@umn.edu

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Issue

Vol. 109, Iss. 1 — January 2024

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Accepted manuscript will be available starting 30 January 2025.

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