The shape of dendritic tips, primary stems and envelopes

The generalized shape function for the dendritic tip, primary stem and external envelope is derived and tested against experimental data for succinonitrile and succinonitrile-acetone dendrites. In addition, scaling dependencies for the dendritic shape were obtained in terms of the dendritic primary stem and external envelope. These original scaling relations are in good agreement with previous measurements in pure succinonitrile provided by Li and Beckermann. The dendrite shape theory for rapid solidification of a binary melt based on the hyperbolic mass transfer equation is also discussed.