演講人	Professor Dmitri V. Alexandrov (Urals State Univ, Russia)
講題	材料冶金之數學問題-方向固化模式探討系列(四之四) Self-Similar Solidification of an Alloy from a Cooled Boundary: Approximate Solutions of Nonlinear Problem and Possible Fractal-Like Structures.
時間	94年11月23(星期三) 下午 16:10 ∼ 17:10
地點	東海大學科技大樓數學系ST527
Abstract
The self-similar solidification process of an alloy from a cooled boundary is studied on the basis of two models with a planar front and mushy layer. Approximate and exact analytical solutions of the process, which demonstrate unusual dynamics near the point of constitutional supercooling, are found. The rate of solidification and front position of the solid/mush boundary (parabolic growth rate constant) are expressed in an explicit form in the case of slow dynamics of this boundary.The theory under consideration is in a good agreement with experimental and numerical studies carried out by Huppert and Worster for ice growing from aqueous salt solutions. We demonstrate that nonstationary crystallization processes in the presence of a mushy region can be described by means of fractal-like power laws at initial and self-similar stages.
聯絡人：東海大學數學系 李天佑老師 電 話：04-23590121轉 3251 或 3660 E-Mail：math@thu.edu.tw