3D dendrite shape in the large chemical Péclet number limit in the case of rotational symmetry

Abstract

A solution of the nonlinear integrodifferential equation for the mass transport defines the shape of a dendrite, growing in a supersaturated alloy. We obtained a numerical solution of this equation in the limit of large chemical Péclet number in the case when dendrite shape is a surface of revolution. Our solution is in good agreement with an asymptotical expression for the shape of growing crystal. © 2019 Author(s).