Kinetic dendrite in the boundary-layer model
Résumé
Within the boundary-layer model and by taking into account only interface kinetics (isotropic or anisotropic), we find a continuous set of "kinetic" dendrites. This solution exists at arbitrary supercooling Δ in the 2D- and 3D-axisymmetric cases and reduces to the usual dendrites with parabolic tails at Δ < 1, and "angular" dendrites at Δ > 1. In contrast with classical Ivantsov dendrites, there are upper limits for growth velocity and tip curvature at each supercooling Δ.
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