ArticleScientific reports2022
Dynamical law of the phase interface motion in the presence of crystals nucleation.
Article in Scientific reports, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
1 citing paper in PubMed, 22 citations in OpenAlex.
- The role of incoming flow on crystallization of undercooled liquids with a two-phase layer.Scientific reports · 2022Article
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Authors and funding
2 authors at 1 institution in 2 countries.
Funding
Abstract
In this paper, we develop a theory of solid/liquid phase interface motion into an undercooled melt in the presence of nucleation and growth of crystals. A set of integrodifferential kinetic, heat and mass transfer equations is analytically solved in the two-phase and liquid layers divided by the moving phase transition interface. To do this, we have used the saddle-point method to evaluate a Laplace-type integral and the small parameter method to find the law of phase interface motion. The main result is that the phase interface Z propagates into an undercooled melt with time t as [Formula: see text] with allowance for crystal nucleation. The effect of nucleation is in the second contribution, which is proportional to [Formula: see text] whereas the first term [Formula: see text] represents the well-known self-similar solution. The nucleation and crystal growth processes are responsible for the emission of latent crystallization heat, which reduces the melt undercooling and constricts the two-phase layer thickness (parameter [Formula: see text]).
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