J. Phys. I France 4 (1994) 403-409
Kinetic dendrite in the boundary-layer modelD. Temkin, J. C. Géminard and P. Oswald
Ecole Normale Supérieure de Lyon, Laboratoire de Physique, 46 Allée d'Italie, 69364 Lyon Cedex 07, France
(Received 29 September 1993, accepted 3 December 1993)
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 in the 2D- and 3D-axisymmetric cases and reduces to the usual dendrites with parabolic tails at < 1, and "angular" dendrites at > 1. In contrast with classical Ivantsov dendrites, there are upper limits for growth velocity and tip curvature at each supercooling .
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