Martin Burger,
"Mathematical modelling and simulation of non-isothermal crystallization of polymers"
, in Mathematical Models and Methods in Applied Sciences, 2001, M. Burger and V. Capasso, Mathematical modelling and simulation of non-isothermal crystallization of polymers, Math. Models and Methods in Appl. Sciences 11 (2001), 1029-1054.
Original Titel:
Mathematical modelling and simulation of non-isothermal crystallization of polymers
Sprache des Titels:
Englisch
Englische Kurzfassung:
This paper is devoted to the study of mathematical problems arising in the modelling of nonisothermal polymer crystallization under industrial condition. A review of the hybrid stochastic-deterministic modelling procedure, which yields the BCE-model, is given and supplied by mathematical problems related to it.
Furthermore, multiple scale effects in the crystallization process are studied using different scalings, focussing either on the heat conduction or on the crystallization part. It is shown that in the limit of fast nucleation
and slow growth, the model is equivalent to a direct extension of the classical Avrami-Kolmogorov model equations.
In addition, numerical simulations are presented to illustrate the behaviour during crystallization. Finally, open questions from mathematical and engineering view points are discussed.
Journal:
Mathematical Models and Methods in Applied Sciences
Erscheinungsjahr:
2001
Notiz zum Zitat:
M. Burger and V. Capasso, Mathematical modelling and simulation of non-isothermal crystallization of polymers, Math. Models and Methods in Appl. Sciences 11 (2001), 1029-1054.
Publikationstyp:
Aufsatz / Paper in sonstiger referierter Fachzeitschrift
Forschungs-