A phase field model for binary alloy solidification with boundary interface intersection is developed. In the phase field model, the heat and solute conservation equations are appropriately modified to account for the presence of heat and solute rejection inside the diffuse interface, and a relaxation boundary condition for the phase field variable is introduced to balance the interface energy and boundary surface energy in the multiphase contact region. The thin interface asymptotic analysis is applied on the phase field model to yield the free interface problem with dynamic contact point condition.
International Frontier Science Letters (Volume 8)
J. Liao "A Phase Field Model for Binary Alloy Solidification with Boundary Interface Intersection", International Frontier Science Letters, Vol. 8, pp. 9-18, 2016