Abstract
The paper describes a mathematical model for an experiment in which a cylindrical sample of molten polypropylene is cooled under constant pressure. During cooling, crystallization takes place and density increases.
The model describes the transition of the polymer from the liquid to the solid state, including the process of crystallization.
The governing equations are: the energy balance, the Fourier constitutive equation, the crystallization kinetics and the state equation for density.
Pressure affects the crystallization process mainly through the rise of the glass transition temperature Tg and the equilibrium melting temperature T°m
Input data to the model are kinetic constants obtained from isothermal crystallization at atmospheric pressure.
Output is the prediction of the pressure-volume-temperature (PVT) diagram of polypropylene.
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References
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© 1997 B. G. Teubner Stuttgart
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Mazzullo, S., Corrieri, R., De Luigi, C. (1997). Mathematical model for isobaric non-isothermal crystallization of polypropylene. In: Brøns, M., Bendsøe, M.P., Sørensen, M.P. (eds) Progress in Industrial Mathematics at ECMI 96. European Consortium for Mathematics in Industry, vol 9. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-96688-9_14
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DOI: https://doi.org/10.1007/978-3-322-96688-9_14
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-322-96689-6
Online ISBN: 978-3-322-96688-9
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