Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/112154
Title: Effects of Local Nonequilibrium in Rapid Eutectic Solidification—Part 1: Statement of the Problem and General Solution
Authors: Xu, J.
Galenko, P. K.
Issue Date: 2021
Publisher: John Wiley and Sons Ltd
Wiley
Citation: Xu J. Effects of Local Nonequilibrium in Rapid Eutectic Solidification—Part 1: Statement of the Problem and General Solution / J. Xu, P. K. Galenko // Mathematical Methods in the Applied Sciences. — 2021. — Vol. 44. — Iss. 16. — P. 12211-12220.
Abstract: Numerous experimental data on the rapid solidification of eutectic systems exhibit the formation of metastable solid phases with the initial (nominal) chemical composition. This fact is explained by suppression of eutectic decomposition due to diffusionless (chemically partitionless) solidification beginning at a high but a finite growth velocity of crystals. A model considering the diffusionless growth is developed in the present work to analyze the atomic diffusion ahead of lamellar eutectic couples growing into supercooled liquid. A general solution of the model is presented from which two regimes are followed. The first presents a diffusion-limited regime with the existence of eutectic decomposition if the solid–liquid interface velocity is smaller than the characteristic diffusion speed in the bulk liquid. The second shows suppression of eutectic decomposition under diffusionless transformation from liquid to one-phase solid if the solid–liquid interface velocity overcomes characteristic diffusion speed in the bulk liquid. © 2020 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd.
Keywords: DIFFUSION
EUTECTIC GROWTH
INTERFACE
MODEL
SOLUTE
DIFFUSION
EUTECTICS
LIQUIDS
METASTABLE PHASES
RAPID SOLIDIFICATION
SUPERCOOLING
ATOMIC DIFFUSIONS
CHEMICAL COMPOSITIONS
DIFFUSION LIMITED
EUTECTIC SOLIDIFICATION
GENERAL SOLUTIONS
LAMELLAR EUTECTIC
METASTABLE SOLID PHASIS
SUPERCOOLED LIQUIDS
PHASE INTERFACES
URI: http://hdl.handle.net/10995/112154
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85092588601
PURE ID: 23818451
ISSN: 0170-4214
metadata.dc.description.sponsorship: This work was also financially supported by the German Space Center Space Management (No. 50WM1941), the Science and Technology Program of Shaanxi Province (No. 2016KJXX‐87), and the Foundation of Shaanxi Provincial Department of Education (No. 18JS050).
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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