The Solid–Liquid Phase Interface Dynamics in an Undercooled Melt with a Solid Wall

The Solid–Liquid Phase Interface Dynamics in an Undercooled Melt with a Solid Wall

A new boundary integral equation for the interface function of a curved solid/liquid phase interface propagating into an undercooled one-component melt is derived in the presence of a solid wall in liquid. Green’s function technique is used to transform a purely thermal boundary value problem to a s...

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Bibliographic Details
Main Authors: Ekaterina A. Titova, Dmitri V. Alexandrov
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Mathematics
Subjects:
boundary integral equation
Green’s function technique
phase transitions
propagation of curved solid–liquid interfaces
undercooled melts
dendrites
Online Access:https://www.mdpi.com/2227-7390/12/2/327

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https://www.mdpi.com/2227-7390/12/2/327

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