A simplified model for nonisothermal crystallization of polymers

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Autor/in:
Erscheinungsjahr:
2005
Medientyp:
Text
Schlagworte:
  • Crystallization of polymers
  • Inhomogeneous wave equation
  • Scaling properties
  • Temperature equation with memory
Beschreibung:
  • Recently, Burger and Capasso [1]derived a coupled system of partial differential equations to describe nonisothermal crystallization of polymers. The system is based on a spatial averaging of the underlying stochastic birth-and-growth process describing the nucleation and growth of single crystals. In the present work, we reconsider the scaling properties of the dimensional system as well as some special one-dimensional models. Moreover, using an appropriate scaling of the original system, we derive a simplified model which only consists of a reaction-diffusion equation with memory for the underlying temperature, such that the degree of crystallization can be explicitly given by a time integration of the temperature-dependent growth and nucleation rate. Numerical simulations indicate that the reduced model shows at least qualitatively the same behavior as the original model. © 2005 Elsevier Ltd. All rights reserved.
Lizenz:
  • info:eu-repo/semantics/openAccess
Quellsystem:
Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/db292866-c6f8-4e49-8d33-3ad86524f36f