engleski

Asymptotic Analysis of Fast Phase Transitions

In dependence on Stefan number all phase transitions can be considered as slow (small Stefan number) and fast (large Stefan number). Slow phase transitions are widespread in nature and technologies and there are a lot of methods of their calculations, including asymptotic methods. However fast phase transitions are quite seldom phenomena and methods of their calculations are not developed yet. The present work is the first attempt to build an asymptotic mathematical model for fast phase transitions. The Stefan problem for fast phase transition is reduced to a series of Cauchy problems. It is managed to show that zero approximation in this case doesn’ t depend on boundary conditions on the outer boundaries of phases ; it depends on only initial conditions and heat source terms. Results of the present work may be interesting for investigation of high intensive thermal processes.

fast phase transitions ; asymptotic analysis

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