Seminar on Qualitative Theory of Differential Equations - Martin Chudjak (7.11.2019)
Thursday 7.11.2019 at 14:00, Lecture room M/223
By: Pavol Quittner
Martin Chudjak: Dynamics in a model for freezing supercooled liquids
A one-dimensional model for solidification of supercooled liquids in a finite domain is considered. The classical Stefan-type two-phase model of freezing is extended to account for the kinetic effects at the front separating the solid and liquid phases. A direct numerical simulation of the model reveals different stages of freezing dynamics: the initial stage dominated by the interface attachment kinetics, the intermediate quasi-equilibrium stage, and the late stage dominated by the finite-domain effects. Asymptotic solutions in the limit of small initial supercooling are derived and compared with numerical calculations.