The Boundary Integral Equation for Kinetically Limited Dendrite Growth
Ekaterina A. Titova,
Peter K. Galenko,
Margarita A. Nikishina
et al.
Abstract:The boundary integral equation defining the interface function for a curved solid/liquid phase transition boundary is analytically solved in steady-state growth conditions. This solution describes dendrite tips evolving in undercooled melts with a constant crystallization velocity, which is the sum of the steady-state and translational velocities. The dendrite tips in the form of a parabola, paraboloid, and elliptic paraboloid are considered. Taking this solution into account, we obtain the modified boundary i… Show more
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