Asymptotic solution of cellular growth in directional solidification

• Main Author: Lang, Yuanhui, 1976-
• Other Authors: Xu, J. J. (advisor)
• Format: Others
• Language: en
• Published: McGill University 1999
• Subjects: Mathematics.
• Online Access: http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=21585

The present thesis is concerned with steady state of cellular growth in directional solidification with a small Peclet number and isotropic surface tension. A uniformly valid asymptotic expansion solution is obtained by applying the MVE (Multiple Variables Expansion) method. The results of the present thesis show that this system allows a continuous family of steady state solutions with a undetermined, interfacial stability parameter epsilon and a discrete quantization number n. Not all these solutions are observable in the experiments, so the selection problem remains.