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On the Continuous Mechanics First and Second-Order Formulations for Nonequilibrium Nucleation: Derivation and Applications

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Abstract

Nucleation and growth are phenomena that can be applied to several fields of science and technology. On the other hand, nucleation depends on the cooling rate, dislocating the equilibrium, as surface energy depends on the created and deformed surface area. The crystalline/glassy transition limit dependence on the thermal gradient is also analyzed. In this paper, under continuum mechanics, first and second-order nonequilibrium nucleation formulation models are derived, and a phase-change moving interface is considered in the thermal field. Important nucleation variables are plotted against the cooling rate for several nucleation angles. It is coupled with a theoretical model for the molar-specific heat capacity of solids to analyse its dependence on nucleation kinetics.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Funding

The authors acknowledge the financial support provided by CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brazil) Finance Code 001 and Grant 88881.707312/2022-01, and CNPq (National Council for Scientific and Technological Development—Brazil).

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Federal University of Pará, UFPA, Augusto Corrêa Avenue 1, Belém, PA, 66075-110, Brazil

    I. L. Ferreira & A. L. S. Moreira

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  1. I. L. Ferreira
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Contributions

I.L. Ferreira developed the formalism, derived the equations proposed, performed all the computations, and wrote the text. A.L.S. Moreira improved the quality of the text.

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Correspondence to I. L. Ferreira.

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Ferreira, I.L., Moreira, A.L.S. On the Continuous Mechanics First and Second-Order Formulations for Nonequilibrium Nucleation: Derivation and Applications. Int J Thermophys 44, 72 (2023). https://doi.org/10.1007/s10765-023-03178-2

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