Mathematical modeling of bulk and directional crystallization with the moving phase transition layer

DOI10.1002/mma.7864zbMath1527.80002OpenAlexW3206514977MaRDI QIDQ6087649

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Publication date: 12 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10995/118325

zbMATH Keywords

phase transitionsnucleationcrystal growthheat and mass transfermushy layer

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Diffusive and convective heat and mass transfer, heat flow (80A19)

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Cites Work

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• Solidification of an alloy from a cooled boundary
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• Effects of nonlinear growth rates of spherical crystals and their withdrawal rate from a crystallizer on the particle-size distribution function
• On the theory of crystal growth in metastable systems with biomedical applications: protein and insulin crystallization
• Phase transformations in metastable liquids combined with polymerization
• Nucleation and crystal growth in binary systems
• On the theory of transient nucleation at the intermediate stage of phase transitions

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