The boundary integral equation for the growth of a 2D dendrite in the presence of convection

The boundary integral method was used to obtain the integro-differential equation for the unsteady motion of a curved solid/liquid interface in an arbitrary curvilinear coordinate system with hydrodynamic flow. The boundary integral approach was verified by comparison with modified Ivantsov solution...

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Bibliographic Details
Main Author: Titova, E. A.
Format: Conference Proceeding
Language:English
Subjects:
Boundary integral method
Differential equations
Integral equations
Oseen approximation
Spherical coordinates
Online Access:Get full text
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Summary:The boundary integral method was used to obtain the integro-differential equation for the unsteady motion of a curved solid/liquid interface in an arbitrary curvilinear coordinate system with hydrodynamic flow. The boundary integral approach was verified by comparison with modified Ivantsov solution for two different types of a melt flow: potential and viscous in an Oseen approximation.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0143577