1. The Solid–Liquid Phase Interface Dynamics in an Undercooled Melt with a Solid Wall.
- Author
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Titova, Ekaterina A. and Alexandrov, Dmitri V.
- Subjects
- *
INTERFACE dynamics , *SOLID-liquid interfaces , *LIQUID-liquid interfaces , *BOUNDARY value problems , *INTEGRAL equations - Abstract
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 single integro-differential equation for the interface function in two- and three-dimensional cases. It is shown that a solid wall represents an additional source of heat and melt undercooling can be negative in the vicinity of the wall. The new boundary integral equation has a limiting transition to previously developed theory in the absence of a solid wall. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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